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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
18,000 |
1612.03061
|
Dario De Stavola
|
Dario De Stavola
|
A Plancherel measure associated to set partitions and its limit
|
18 pages, 2 figures
| null | null | null |
math.PR math.CO math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent years increasing attention has been paid on the area of
supercharacter theories, especially to those of the upper unitriangular group.
A particular supercharacter theory, in which supercharacters are indexed by set
partitions, has several interesting properties, which make it object of further
study. We define a natural generalization of the Plancherel measure, called
superplancherel measure, and prove a limit shape result for a random set
partition according to this distribution. We also give a description of the
asymptotical behavior of two set partition statistics related to the
supercharacters. The study of these statistics when the set partitions are
uniformly distributed has been done by Chern, Diaconis, Kane and Rhoades.
|
[{'version': 'v1', 'created': 'Fri, 9 Dec 2016 15:33:46 GMT'}]
|
2016-12-12
|
[array(['De Stavola', 'Dario', ''], dtype=object)]
|
18,001 |
1312.7440
|
Esha Kundu
|
Esha Kundu and Nayantara Gupta
|
Photo-Disintegration of Heavy Nuclei at the Core of Cen A
|
Version to appear in JCAP
| null |
10.1088/1475-7516/2014/04/030
| null |
astro-ph.HE hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Fermi LAT has detected gamma ray emissions from the core of Cen A. More
recently, a new component in the gamma ray spectrum from the core has been
reported in the energy range of 4 GeV to tens of GeV. We show that the new
component and the HESS detected spectrum of gamma rays from the core at higher
energy have possibly a common origin in photo-disintegration of heavy nuclei.
Assuming the cosmic rays are mostly Fe nuclei inside the core and their
spectrum has a low energy cut-off at 52 TeV in the wind frame moving with a
Doppler factor 0.25 with respect to the observer on earth, the cosmic ray
luminosity required to explain the observed gamma ray flux above 1 GeV is found
to be $1.5\times 10^{43}$ erg/sec.
|
[{'version': 'v1', 'created': 'Sat, 28 Dec 2013 14:39:19 GMT'}
{'version': 'v2', 'created': 'Thu, 3 Apr 2014 08:38:11 GMT'}]
|
2014-05-02
|
[array(['Kundu', 'Esha', ''], dtype=object)
array(['Gupta', 'Nayantara', ''], dtype=object)]
|
18,002 |
math/0610727
|
Jana P\'ilnikov\'a
|
Jana Pilnikova
|
Parametrizing algebraic varieties using Lie algebras
|
PhD thesis
| null | null | null |
math.AG
| null |
In the thesis we present a new method for parametrizing algebraic varieties
over the field of characteristic zero. The problem of parametrizing is reduced
to a problem of finding an isomorphism of algebras.
We introduce the Lie algebra of a variety as a Lie algebra related to its
group of automorphisms. Constructing an isomorphism of this one and some
classical Lie algebra (for example the algebra of matrices of the zero trace)
then leads to parametrizing the variety. The problem of finding an isomorphism
of Lie algebras is further reduced to trivializing an associative algebra,
which means finding an isomorphism of the algebra and a full matrix algebra.
The last is a classical problem in number theory, when regarded over
algebraically non-closed fields. We give algorithms for trivializing algebras
of degrees up to 4 over number fields.
In our work we used the method to parametrize Del Pezzo surfaces of degrees 8
and 9 over number fields. The algorithms are implemented for the case of the
field of the rationals.
|
[{'version': 'v1', 'created': 'Tue, 24 Oct 2006 18:50:07 GMT'}]
|
2007-05-23
|
[array(['Pilnikova', 'Jana', ''], dtype=object)]
|
18,003 |
1807.01353
|
Andriy Prymak V
|
F. Dai, A. Prymak, V. N. Temlyakov, S. Tikhonov
|
Integral norm discretization and related problems
| null |
Uspekhi Mat. Nauk 74:4 3-58 (Russian), English translation in
Russian Math. Surveys vol. 74, no. 4 (2019), 579-630
|
10.1070/RM9892
| null |
math.NA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of replacing an integral norm with respect to a given probability
measure by the corresponding integral norm with respect to a discrete measure
is discussed in the paper. The above problem is studied for elements of finite
dimensional spaces. Also, discretization of the uniform norm of functions from
a given finite dimensional subspace of continuous functions is studied. We pay
special attention to the case of the multivariate trigonometric polynomials
with frequencies from a finite set with fixed cardinality. Both new results and
a survey of known results are presented.
|
[{'version': 'v1', 'created': 'Tue, 3 Jul 2018 19:33:27 GMT'}
{'version': 'v2', 'created': 'Tue, 7 May 2019 08:29:48 GMT'}
{'version': 'v3', 'created': 'Tue, 21 May 2019 11:59:31 GMT'}]
|
2019-11-01
|
[array(['Dai', 'F.', ''], dtype=object)
array(['Prymak', 'A.', ''], dtype=object)
array(['Temlyakov', 'V. N.', ''], dtype=object)
array(['Tikhonov', 'S.', ''], dtype=object)]
|
18,004 |
gr-qc/0012107
|
Roberto Gomez
|
Manuela Campanelli, Roberto Gomez, Sascha Husa, Jeffrey Winicour, and
Yosef Zlochower
|
The close limit from a null point of view: the advanced solution
|
Revised version, published in Phys. Rev. D, 34 pages, 13 figures,
RevTeX
|
Phys.Rev. D63 (2001) 124013
|
10.1103/PhysRevD.63.124013
| null |
gr-qc
| null |
We present a characteristic algorithm for computing the perturbation of a
Schwarzschild spacetime by means of solving the Teukolsky equation. We
implement the algorithm as a characteristic evolution code and apply it to
compute the advanced solution to a black hole collision in the close
approximation. The code successfully tracks the initial burst and quasinormal
decay of a black hole perturbation through 10 orders of magnitude and tracks
the final power law decay through an additional 6 orders of magnitude.
Determination of the advanced solution, in which ingoing radiation is absorbed
by the black hole but no outgoing radiation is emitted, is the first stage of a
two stage approach to determining the retarded solution, which provides the
close approximation waveform with the physically appropriate boundary condition
of no ingoing radiation.
|
[{'version': 'v1', 'created': 'Thu, 28 Dec 2000 21:14:25 GMT'}
{'version': 'v2', 'created': 'Thu, 7 Jun 2001 19:10:24 GMT'}]
|
2009-10-31
|
[array(['Campanelli', 'Manuela', ''], dtype=object)
array(['Gomez', 'Roberto', ''], dtype=object)
array(['Husa', 'Sascha', ''], dtype=object)
array(['Winicour', 'Jeffrey', ''], dtype=object)
array(['Zlochower', 'Yosef', ''], dtype=object)]
|
18,005 |
2305.19461
|
Yuichi Goto
|
Yuichi Goto, Xuze Zhang, Benjamin Kedem, Shuo Chen
|
Residual Spectrum Applied in Brain Functional Connectivity
| null | null | null | null |
math.ST stat.ME stat.TH
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Coherence is a widely used measure to assess linear relationships between
time series. However, it fails to capture nonlinear dependencies. To overcome
this limitation, this paper introduces the notion of residual spectral density
as a higher-order extension of the squared coherence. The method is based on an
orthogonal decomposition of time series regression models. We propose a test
for testing the existence of the residual spectrum and derive its fundamental
properties. A numerical study illustrates finite sample performance of the
proposed method. An application of the method shows that the residual spectrum
can effectively detect brain connectivity.
|
[{'version': 'v1', 'created': 'Wed, 31 May 2023 00:04:51 GMT'}]
|
2023-06-01
|
[array(['Goto', 'Yuichi', ''], dtype=object)
array(['Zhang', 'Xuze', ''], dtype=object)
array(['Kedem', 'Benjamin', ''], dtype=object)
array(['Chen', 'Shuo', ''], dtype=object)]
|
18,006 |
nucl-th/9512036
| null |
T.D. Cohen, J.L. Friar, G.A. Miller, and U. van Kolck
|
The $p p \to p p\pi^0$ Reaction near Threshold: A Chiral Power Counting
Approach
|
39 pages, latex, 16 figures, omega pair exchange added, published
version
|
Phys.Rev.C53:2661-2673,1996
|
10.1103/PhysRevC.53.2661
|
DOE/ER/40427-26-N95, DOE/ER/40762-074, U of MD pp 96-058
|
nucl-th
| null |
We use power-counting arguments as an organizing principle to apply chiral
perturbation theory, including an explicit $\Delta$, to the $p p \rightarrow p
p \pi^0$ reaction near threshold. There are two lowest-order leading mechanisms
expected to contribute to the amplitude with similar magnitudes: an impulse
term, and a $\Delta$-excitation mechanism. We examine formally sub-leading but
potentially large mechanisms, including pion-rescattering and short-ranged
contributions. We show that the pion-rescattering contribution is enhanced by
off-shell effects and has a sign opposite to that of a recent estimate based on
a PCAC pion interpolating field. Our result is that the impulse term interferes
destructively with the pion rescattering and $\Delta$-excitation terms. In
addition, we have modeled the short-ranged interaction using $\sigma$ and
$\omega$ exchange mechanisms. A recoil correction to the impulse approximation
is small. The total amplitude obtained including all of these processes is
found to yield cross sections substantially smaller than the measured ones.
|
[{'version': 'v1', 'created': 'Thu, 28 Dec 1995 01:48:57 GMT'}
{'version': 'v2', 'created': 'Tue, 16 Jul 1996 02:24:51 GMT'}]
|
2008-11-26
|
[array(['Cohen', 'T. D.', ''], dtype=object)
array(['Friar', 'J. L.', ''], dtype=object)
array(['Miller', 'G. A.', ''], dtype=object)
array(['van Kolck', 'U.', ''], dtype=object)]
|
18,007 |
1707.05296
|
Paul Vanetti
|
Paul Vanetti, Alexandre Bouchard-C\^ot\'e, George Deligiannidis and
Arnaud Doucet
|
Piecewise-Deterministic Markov Chain Monte Carlo
|
42 pages, 4 figures
| null | null | null |
stat.ME
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A novel class of non-reversible Markov chain Monte Carlo schemes relying on
continuous-time piecewise-deterministic Markov Processes has recently emerged.
In these algorithms, the state of the Markov process evolves according to a
deterministic dynamics which is modified using a Markov transition kernel at
random event times. These methods enjoy remarkable features including the
ability to update only a subset of the state components while other components
implicitly keep evolving and the ability to use an unbiased estimate of the
gradient of the log-target while preserving the target as invariant
distribution. However, they also suffer from important limitations. The
deterministic dynamics used so far do not exploit the structure of the target.
Moreover, exact simulation of the event times is feasible for an important yet
restricted class of problems and, even when it is, it is application specific.
This limits the applicability of these techniques and prevents the development
of a generic software implementation of them. We introduce novel MCMC methods
addressing these shortcomings. In particular, we introduce novel
continuous-time algorithms relying on exact Hamiltonian flows and novel
non-reversible discrete-time algorithms which can exploit complex dynamics such
as approximate Hamiltonian dynamics arising from symplectic integrators while
preserving the attractive features of continuous-time algorithms. We
demonstrate the performance of these schemes on a variety of applications.
|
[{'version': 'v1', 'created': 'Mon, 17 Jul 2017 17:49:19 GMT'}
{'version': 'v2', 'created': 'Tue, 15 May 2018 16:56:47 GMT'}]
|
2018-05-16
|
[array(['Vanetti', 'Paul', ''], dtype=object)
array(['Bouchard-Côté', 'Alexandre', ''], dtype=object)
array(['Deligiannidis', 'George', ''], dtype=object)
array(['Doucet', 'Arnaud', ''], dtype=object)]
|
18,008 |
2210.04065
|
Kalpesh Ghag
|
Kalpesh Ghag, Anil Raghav, Zubair Shaikh, Georgios Nicolaou, Omkar
Dhamane, Utsav Panchal
|
Distinct polytropic behavior of plasma during ICME-HSS Interaction
| null | null | null | null |
physics.space-ph astro-ph.SR
|
http://creativecommons.org/licenses/by/4.0/
|
Interplanetary Coronal Mass Ejections (ICMEs) and High Speed Streams (HSSs)
are noteworthy drivers of disturbance of interplanetary space. Interaction
between them can cause several phenomena, such as; generation of waves,
enhanced geo-effectiveness, particle acceleration, etc. However, how does
thermodynamic properties vary during the ICME-HSS interaction remain an open
problem. In this study, we investigated the polytropic behavior of plasma
during an ICME-HSS interaction observed by STEREO and Wind spacecraft. We find
that the ICME observed by the STEREO-A has polytropic index $\alpha = 1.0$,
i.e., exhibiting isothermal process. Moreover, Wind spacecraft observed the HSS
region, non-interacting ICME, and ICME-HSS interaction region. During each
regions we found $\alpha$=1.8, $\alpha$=0.7, and $\alpha$=2.5, respectively. It
implies that the HSS region exhibits a nearly adiabatic behaviour, ICME region
is closely isothermal, and the ICME-HSS interaction region exhibits
super-adiabatic behaviour. The insufficient expansion of the ICME due to the
interaction with HSS triggers the system for heating and cooling mechanisms
which dependent on the degrees of freedom of plasma components.
|
[{'version': 'v1', 'created': 'Sat, 8 Oct 2022 17:24:18 GMT'}]
|
2022-10-11
|
[array(['Ghag', 'Kalpesh', ''], dtype=object)
array(['Raghav', 'Anil', ''], dtype=object)
array(['Shaikh', 'Zubair', ''], dtype=object)
array(['Nicolaou', 'Georgios', ''], dtype=object)
array(['Dhamane', 'Omkar', ''], dtype=object)
array(['Panchal', 'Utsav', ''], dtype=object)]
|
18,009 |
1812.01118
|
Martin Lopez Jr
|
Martin Lopez Jr., Aldo Batta, Enrico Ramirez-Ruiz, Irvin Martinez,
Johan Samsing
|
Tidal Disruptions of Stars by Binary Black Holes: Modifying the Spin
Magnitudes and Directions of LIGO Sources in Dense Stellar Environments
|
13 pages, 10 figures
| null |
10.3847/1538-4357/ab1842
| null |
astro-ph.HE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Binary black holes (BBHs) appear to be widespread and are able to merge
through the emission of gravitational waves, as recently illustrated by LIGO.
The spin of the BBHs is one of the parameters that LIGO can infer from the
gravitational wave signal and can be used to constrain their production site.
If BBHs are assembled in stellar clusters they are likely to interact with
stars, which could occasionally lead to a tidal disruption event (TDE). When a
BBH tidally disrupts a star it can accrete a significant fraction of the
debris, effectively altering the spins of the BHs. Therefore, although
dynamically formed BBHs are expected to have random spin orientations, tidal
stellar interactions can significantly alter their birth spins both in
direction and magnitude. Here we investigate how TDEs by BBHs can affect the
properties of the BH members as well as exploring the characteristics of the
resulting electromagnetic signatures. We conduct hydrodynamic simulations with
a Lagrangian Smoothed Particle Hydrodynamics code of a wide range of
representative tidal interactions. We find that both spin magnitude and
orientation can be altered and temporarily aligned or anti-aligned through
accretion of stellar debris, with a significant dependence on the mass ratio of
the disrupted star and the BBH members. These tidal interactions feed material
to the BBH at very high accretion rates, with the potential to launch a
relativistic jet. The corresponding beamed emission is a beacon to an otherwise
quiescent BBH.
|
[{'version': 'v1', 'created': 'Mon, 3 Dec 2018 22:47:51 GMT'}]
|
2019-06-05
|
[array(['Lopez', 'Martin', 'Jr.'], dtype=object)
array(['Batta', 'Aldo', ''], dtype=object)
array(['Ramirez-Ruiz', 'Enrico', ''], dtype=object)
array(['Martinez', 'Irvin', ''], dtype=object)
array(['Samsing', 'Johan', ''], dtype=object)]
|
18,010 |
2002.01549
|
Kai Luo
|
James Dufty, Kai Luo, Jeffrey Wrighton
|
Generalized hydrodynamics revisited
|
Supplemental material is also included
|
Phys. Rev. Research 2, 023036 (2020)
|
10.1103/PhysRevResearch.2.023036
| null |
physics.flu-dyn cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
During the past decade a number of attempts to formulate a continuum
description of complex states of matter have been proposed to circumvent more
cumbersome many-body and simulation methods. Typically these have been quantum
systems (e.g., electrons) and the resulting phenomenologies collectively often
called "quantum hydrodynamics". However, there is extensive work from the past
based in non-equilibrium statistical mechanics on the microscopic origins of
macroscopic continuum dynamics that has not been exploited in this context.
Although formally exact, its original target was the derivation of
Navier-Stokes hydrodynamics for slowly varying states in space and time. The
objective here is to revisit that work for the present interest in complex
quantum states - possible strong degeneracy, strong coupling, and all
space-time scales. The result is an exact representation of generalized
hydrodynamics suitable for introducing controlled approximations for diverse
specific cases, and for critiquing existing work.
|
[{'version': 'v1', 'created': 'Tue, 4 Feb 2020 21:36:42 GMT'}
{'version': 'v2', 'created': 'Wed, 19 Feb 2020 17:19:00 GMT'}
{'version': 'v3', 'created': 'Thu, 20 Feb 2020 03:30:08 GMT'}]
|
2020-04-22
|
[array(['Dufty', 'James', ''], dtype=object)
array(['Luo', 'Kai', ''], dtype=object)
array(['Wrighton', 'Jeffrey', ''], dtype=object)]
|
18,011 |
1707.01502
|
Solomon Akaraka Owerre
|
S. A. Owerre
|
Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
|
5 pages, 3 figures. Revised version
|
J. Phys. Commun. 1, 021001 (2017)
|
10.1088/2399-6528/aa8ab8
| null |
cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Dispersionless "zero energy mode'' is one of the hallmarks of frustrated
kagome antiferromagnets (KAFMs). It points to extensive classically degenerate
ground-states. The "zero energy mode'' can be observed experimentally when
lifted to a flat mode at finite energy by a strong intrinsic magnetic
anisotropy. In this letter, we study the effects of irradiation of laser light
on the KAFMs. We adopt the magnon picture without loss of generality. It is
shown that circularly or linearly polarized light lifts the "zero energy
mode'', stabilizes magnetic order, and induces energy gaps in the KAFMs. We
find that the circularly polarized light-induced anisotropies have similar
features as the intrinsic in-plane and out-of-plane Dzyaloshinskii-Moriya
interaction in KAFMs. The former stabilizes long-range magnetic order and the
latter induces spin canting out-of-plane with nonzero scalar spin chirality.
The Floquet thermal Hall effect shows that the synthetic magnetic excitation
modes in the case of circularly polarized light are topological, whereas those
of linearly polarized light are not.
|
[{'version': 'v1', 'created': 'Wed, 5 Jul 2017 18:00:01 GMT'}
{'version': 'v2', 'created': 'Tue, 11 Jul 2017 20:32:30 GMT'}
{'version': 'v3', 'created': 'Thu, 17 Aug 2017 13:27:12 GMT'}]
|
2017-09-27
|
[array(['Owerre', 'S. A.', ''], dtype=object)]
|
18,012 |
1608.05093
|
Scott A. Crooker
|
Andreas V. Stier, Nathan P. Wilson, Genevieve Clark, Xiaodong Xu,
Scott A. Crooker
|
Probing the influence of dielectric environment on excitons in monolayer
WSe2: Insight from high magnetic fields
|
7 pages, 4 figures
|
Nano Letters 16, 7054 (2016)
|
10.1021/acs.nanolett.6b03276
| null |
cond-mat.mes-hall cond-mat.mtrl-sci
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Excitons in atomically-thin semiconductors necessarily lie close to a
surface, and therefore their properties are expected to be strongly influenced
by the surrounding dielectric environment. However, systematic studies
exploring this role are challenging, in part because the most readily
accessible exciton parameter -- the exciton's optical transition energy -- is
largely \textit{un}affected by the surrounding medium. Here we show that the
role of the dielectric environment is revealed through its systematic influence
on the \textit{size} of the exciton, which can be directly measured via the
diamagnetic shift of the exciton transition in high magnetic fields. Using
exfoliated WSe$_2$ monolayers affixed to single-mode optical fibers, we tune
the surrounding dielectric environment by encapsulating the flakes with
different materials, and perform polarized low-temperature magneto-absorption
studies to 65~T. The systematic increase of the exciton's size with dielectric
screening, and concurrent reduction in binding energy (also inferred from these
measurements), is quantitatively compared with leading theoretical models.
These results demonstrate how exciton properties can be tuned in future 2D
optoelectronic devices.
|
[{'version': 'v1', 'created': 'Wed, 17 Aug 2016 20:15:36 GMT'}]
|
2016-12-06
|
[array(['Stier', 'Andreas V.', ''], dtype=object)
array(['Wilson', 'Nathan P.', ''], dtype=object)
array(['Clark', 'Genevieve', ''], dtype=object)
array(['Xu', 'Xiaodong', ''], dtype=object)
array(['Crooker', 'Scott A.', ''], dtype=object)]
|
18,013 |
2304.13184
|
Ravi Teja Ponnaganti
|
Ravi Teja Ponnaganti, Matthieu Mambrini, Didier Poilblanc
|
Tensor network variational optimizations for real-time dynamics:
application to the time-evolution of spin liquids
| null | null | null | null |
cond-mat.str-el cond-mat.quant-gas
|
http://creativecommons.org/licenses/by/4.0/
|
Within the Projected Entangled Pair State (PEPS) tensor network formalism, a
simple update (SU) method has been used to investigate the time evolution of a
two-dimensional U(1) critical spin-1/2 spin liquid under Hamiltonian quench
[Phys. Rev. B 106, 195132 (2022)]. Here we introduce two different variational
frameworks to describe the time dynamics of SU(2)-symmetric
translationally-invariant PEPS, aiming to improve the accuracy. In one
approach, after using a Trotter-Suzuki decomposition of the time evolution
operator in term of two-site elementary gates, one considers a single bond
embedded in an environment approximated by a Corner Transfer Matrix
Renormalization Group (CTMRG). A variational update of the two tensors on the
bond is performed under the application of the elementary gate and then, after
symmetrization of the site tensors, the environment is updated. In the second
approach, a cluster optimization is performed on a finite (periodic) cluster,
maximizing the overlap of the exact time-evolved state with a symmetric
finite-size PEPS ansatz. Observables are then computed on the infinite lattice
contracting the infinite-PEPS (iPEPS) by CTMRG. We show that the variational
schemes outperform the SU method and remain accurate over a significant time
interval before hitting the entanglement barrier. Studying the spectrum of the
transfer matrix, we found that the asymptotic correlations are very well
preserved under time evolution, including the critical nature of the singlet
correlations, as expected from the Lieb-Robinson (LR) bound theorem. We also
compute the time-evolution of the short distance spin-spin correlations and
estimate the LR velocity.
|
[{'version': 'v1', 'created': 'Tue, 25 Apr 2023 22:41:00 GMT'}
{'version': 'v2', 'created': 'Tue, 2 May 2023 12:16:25 GMT'}]
|
2023-05-03
|
[array(['Ponnaganti', 'Ravi Teja', ''], dtype=object)
array(['Mambrini', 'Matthieu', ''], dtype=object)
array(['Poilblanc', 'Didier', ''], dtype=object)]
|
18,014 |
1201.4153
|
Vance Faber
|
Vance Faber
|
Global sum on symmetric networks
|
5 pages
| null | null | null |
math.CO cs.DC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We are interested in the following problem we call global sum. Each processor
starts with a single real value. At each time step, every directed edge in the
graph can simultaneously be used to transmit a single (bounded) number between
the processors (vertices). How many time steps s are required to ensure that
every processor acquires the global sum? We know that s is bounded below by the
diameter and above by two times the diameter. We conjecture that for vertex
symmetric graphs, s is equal to the diameter. We show this is true if the
diameter is 2.
|
[{'version': 'v1', 'created': 'Thu, 19 Jan 2012 19:27:40 GMT'}]
|
2012-01-20
|
[array(['Faber', 'Vance', ''], dtype=object)]
|
18,015 |
hep-ph/9804250
|
Gerardo Aldazabal
|
G. Aldazabal
|
Non-Perturbative effects from orbifold constructions
|
12 pages, Latex. To appear in the proceedings of the workshop on
"Phenomenological Aspects of String Theory"(PAST97), ICTP, October 1997,
Trieste, Italy
| null | null | null |
hep-ph hep-th
| null |
We indicate how consistent heterotic orbifold compactifications, including
non perturbative information, can be constructed. We first analyse the
situation in six dimensions, N=1, where strong coupling effects, implying the
presence of five branes, are better known. We show that anomaly free models can
be obtained even when usual modular invariance constraints are not satisfied.
The perturbative massless sector can be computed explicitly from the
perturbative mass formula subject to an extra shift in the vacuum energy.
Explicit examples in D=4, N=1 are presented. Generically, examples exhibit non
perturbative transitions leading to gauge enhancement and/or changing the
number of chiral generations.
|
[{'version': 'v1', 'created': 'Tue, 7 Apr 1998 18:06:11 GMT'}]
|
2007-05-23
|
[array(['Aldazabal', 'G.', ''], dtype=object)]
|
18,016 |
astro-ph/0409744
|
Takaya Ohashi
|
Akira Hayakawa, Tae Furusho, Noriko Y. Yamasaki, Manabu Ishida, and
Takaya Ohashi
|
Inhomogeneity in the Hot Intracluster Medium of Abell 1060 Observed with
Chandra
|
10 pages, 11 figures, accepted by PASJ. High resolution version
available at http://www-x.phys.metro-u.ac.jp/~akira_h/papers/
| null |
10.1093/pasj/56.5.743
| null |
astro-ph
| null |
A Chandra observation of the non-cooling flow cluster A 1060 has confirmed
that the hot intracluster medium has fairly uniform distributions of
temperature and metal abundance from a radius of about 230 kpc to the central 5
kpc region (H_0= 75 km/s/Mpc). The radial temperature profile shows a broad
peak at 30-40 kpc from the center at a level ~20% higher than that in the outer
region. Assuming spatially uniform temperature and abundance distributions, we
derived a 3-dimensional density structure by iteratively correcting the beta
model, and obtained the central gas density to be 8.2^{+1.8}_{-1.0} x 10^{-3}
cm^{-3}. The distribution of gravitational mass was estimated from the density
profile, and a central concentration of mass within a radius of 50 kpc was
indicated. The data also suggest several high-abundance regions. The most
significant blob adjacent to the central galaxy NGC 3311 has a radius of about
9 kpc, which indicates a metallicity of ~1.5 solar. We consider that this blob
may be produced by the gas stripped off from NGC 3311.
|
[{'version': 'v1', 'created': 'Thu, 30 Sep 2004 11:47:32 GMT'}]
|
2015-06-24
|
[array(['Hayakawa', 'Akira', ''], dtype=object)
array(['Furusho', 'Tae', ''], dtype=object)
array(['Yamasaki', 'Noriko Y.', ''], dtype=object)
array(['Ishida', 'Manabu', ''], dtype=object)
array(['Ohashi', 'Takaya', ''], dtype=object)]
|
18,017 |
cond-mat/0209587
|
Adolfo Avella
|
A. Avella and F. Mancini (University of Salerno)
|
The 2D Mott-Hubbard transition in presence of a parallel magnetic field
|
5 pages, 2 figures
|
Acta Phys. Pol. B 34, 811 (2003)
| null |
scs519
|
cond-mat.str-el
| null |
The half-filled two-dimensional Hubbard model in presence of a uniform and
static parallel magnetic field has been studied by means of the Composite
Operator Method. A fully self-consistent solution, fulfilling all the
constrains coming from the Pauli principle, has been found. The relevant
features of a metal-insulator transition in presence of a magnetic field have
been analyzed. The results qualitatively agree with the ones recently obtained
by means of experimental investigations.
|
[{'version': 'v1', 'created': 'Wed, 25 Sep 2002 18:04:51 GMT'}]
|
2007-05-23
|
[array(['Avella', 'A.', '', 'University of Salerno'], dtype=object)
array(['Mancini', 'F.', '', 'University of Salerno'], dtype=object)]
|
18,018 |
0812.3081
|
Simon Hodgkin Dr
|
S. T. Hodgkin, M. J. Irwin, P. C. Hewett, S. J. Warren
|
The UKIRT Wide Field Camera ZYJHK Photometric System: Calibration from
2MASS
|
Accepted on 2008 December 11 for publication in the MNRAS, 20 pages
Remade Figure 11 which was corrupted during compression for astro-ph
| null |
10.1111/j.1365-2966.2008.14387.x
| null |
astro-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we describe the photometric calibration of data taken with the
near-infrared Wide Field Camera (WFCAM) on the United Kingdom Infrared
Telescope (UKIRT). The broadband ZYJHK data are directly calibrated from 2MASS
point sources which are abundant in every WFCAM pointing. We perform an
analysis of spatial systematics in the photometric calibration, both inter- and
intra-detector and show that these are present at up to the 5 per cent level in
WFCAM. Although the causes of these systematics are not yet fully understood, a
method for their removal is developed and tested. Following application of the
correction procedure the photometric calibration of WFCAM is found to be
accurate to approximately 1.5 per cent for the JHK bands and 2 per cent for the
ZY bands, meeting the survey requirements. We investigate the transformations
between the 2MASS and WFCAM systems and find that the Z and Y calibration is
sensitive to the effects of interstellar reddening for large values of E(B-V)',
but that the JHK filters remain largely unaffected. We measure a small
correction to the WFCAM Y-band photometry required to place WFCAM on a Vega
system, and investigate WFCAM measurements of published standard stars from the
list of UKIRT faint standards. Finally we present empirically determined
throughput measurements for WFCAM.
|
[{'version': 'v1', 'created': 'Tue, 16 Dec 2008 20:59:23 GMT'}
{'version': 'v2', 'created': 'Tue, 30 Dec 2008 14:37:14 GMT'}
{'version': 'v3', 'created': 'Tue, 17 Feb 2009 14:38:53 GMT'}]
|
2009-11-13
|
[array(['Hodgkin', 'S. T.', ''], dtype=object)
array(['Irwin', 'M. J.', ''], dtype=object)
array(['Hewett', 'P. C.', ''], dtype=object)
array(['Warren', 'S. J.', ''], dtype=object)]
|
18,019 |
1009.0174
|
Guzman Alonso Elisa
|
E. Guzm\'an, J.C. Marrero
|
Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
| null | null |
10.1088/1751-8113/43/50/505201
| null |
math.DG math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A description of time-dependent Mechanics in terms of Lagrangian submanifolds
of Dirac manifolds (in particular, presymplectic and Poisson manifolds) is
presented. Two new Tulczyjew triples are discussed. The first one is adapted to
the restricted Hamiltonian formalism and the second one is adapted to the
extended Hamiltonian formalism.
|
[{'version': 'v1', 'created': 'Wed, 1 Sep 2010 13:06:50 GMT'}
{'version': 'v2', 'created': 'Thu, 21 Oct 2010 12:58:04 GMT'}]
|
2015-05-19
|
[array(['Guzmán', 'E.', ''], dtype=object)
array(['Marrero', 'J. C.', ''], dtype=object)]
|
18,020 |
1204.5345
|
William Stevens
|
William M. Stevens, Andrew Adamatzky, Ishrat Jahan, Ben de Lacy
Costello
|
Time-dependent wave selection for information processing in excitable
media
| null |
Phys. Rev. E 85, 066129 (2012)
|
10.1103/PhysRevE.85.066129
| null |
nlin.PS cs.CL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate an improved technique for implementing logic circuits in
light-sensitive chemical excitable media. The technique makes use of the
constant-speed propagation of waves along defined channels in an excitable
medium based on the Belousov-Zhabotinsky reaction, along with the mutual
annihilation of colliding waves. What distinguishes this work from previous
work in this area is that regions where channels meet at a junction can
periodically alternate between permitting the propagation of waves and blocking
them. These valve-like areas are used to select waves based on the length of
time that it takes waves to propagate from one valve to another. In an
experimental implementation, the channels which make up the circuit layout are
projected by a digital projector connected to a computer. Excitable channels
are projected as dark areas, unexcitable regions as light areas. Valves
alternate between dark and light: every valve has the same period and phase,
with a 50% duty cycle. This scheme can be used to make logic gates based on
combinations of OR and AND-NOT operations, with few geometrical constraints.
Because there are few geometrical constraints, compact circuits can be
implemented. Experimental results from an implementation of a 4-bit input,
2-bit output integer square root circuit are given. This is the most complex
logic circuit that has been implemented in BZ excitable media to date.
|
[{'version': 'v1', 'created': 'Tue, 24 Apr 2012 11:46:53 GMT'}]
|
2012-08-06
|
[array(['Stevens', 'William M.', ''], dtype=object)
array(['Adamatzky', 'Andrew', ''], dtype=object)
array(['Jahan', 'Ishrat', ''], dtype=object)
array(['Costello', 'Ben de Lacy', ''], dtype=object)]
|
18,021 |
2208.06223
|
Anirudh Chandramouli
|
Ananya Appan, Anirudh Chandramouli, Ashish Choudhury
|
Perfectly Secure Synchronous MPC with Asynchronous Fallback Guarantees
Against General Adversaries
|
56 pages, 11 figures. arXiv admin note: text overlap with
arXiv:2201.12194
| null | null | null |
cs.CR cs.DC cs.IT math.IT
|
http://creativecommons.org/licenses/by/4.0/
|
In this work, we study perfectly-secure multi-party computation (MPC) against
general (non-threshold) adversaries. Known protocols in a synchronous network
are secure against $Q^{(3)}$ adversary structures, while in an asynchronous
network, known protocols are secure against $Q^{(4)}$ adversary structures. A
natural question is whether there exists a single protocol which remains secure
against $Q^{(3)}$ and $Q^{(4)}$ adversary structures in a synchronous and in an
asynchronous network respectively, where the parties are not aware of the
network type. We design the first such best-of-both-worlds protocol against
general adversaries. Our result generalizes the result of Appan, Chandramouli
and Choudhury (PODC 2022), which presents a best-of-both-worlds
perfectly-secure protocol against threshold adversaries.
To design our protocol, we present two important building blocks which are of
independent interest. The first building block is a best-of-both-worlds
perfectly-secure Byzantine agreement (BA) protocol for $Q^{(3)}$ adversary
structures, which remains secure both in a synchronous, as well as an
asynchronous network. The second building block is a best-of-both-worlds
perfectly-secure verifiable secret-sharing (VSS) protocol, which remains secure
against $Q^{(3)}$ and $Q^{(4)}$ adversary structures in a synchronous network
and an asynchronous network respectively.
|
[{'version': 'v1', 'created': 'Fri, 12 Aug 2022 11:27:31 GMT'}]
|
2022-08-15
|
[array(['Appan', 'Ananya', ''], dtype=object)
array(['Chandramouli', 'Anirudh', ''], dtype=object)
array(['Choudhury', 'Ashish', ''], dtype=object)]
|
18,022 |
quant-ph/0504083
|
Andrew M. Childs
|
Dave Bacon, Andrew M. Childs, Wim van Dam
|
From optimal measurement to efficient quantum algorithms for the hidden
subgroup problem over semidirect product groups
|
18 pages; v2: updated references on optimal measurement
|
Proc. 46th IEEE Symposium on Foundations of Computer Science (FOCS
2005), pp. 469-478
|
10.1109/SFCS.2005.38
| null |
quant-ph
| null |
We approach the hidden subgroup problem by performing the so-called pretty
good measurement on hidden subgroup states. For various groups that can be
expressed as the semidirect product of an abelian group and a cyclic group, we
show that the pretty good measurement is optimal and that its probability of
success and unitary implementation are closely related to an average-case
algebraic problem. By solving this problem, we find efficient quantum
algorithms for a number of nonabelian hidden subgroup problems, including some
for which no efficient algorithm was previously known: certain metacyclic
groups as well as all groups of the form (Z_p)^r X| Z_p for fixed r (including
the Heisenberg group, r=2). In particular, our results show that entangled
measurements across multiple copies of hidden subgroup states can be useful for
efficiently solving the nonabelian HSP.
|
[{'version': 'v1', 'created': 'Mon, 11 Apr 2005 17:16:07 GMT'}
{'version': 'v2', 'created': 'Tue, 26 Apr 2005 17:35:53 GMT'}]
|
2007-05-23
|
[array(['Bacon', 'Dave', ''], dtype=object)
array(['Childs', 'Andrew M.', ''], dtype=object)
array(['van Dam', 'Wim', ''], dtype=object)]
|
18,023 |
2001.01384
|
Yuan Yuan
|
Yuan Yuan, Zhibo Hou, Jun-Feng Tang, Alexander Streltsov, Guo-Yong
Xiang, Chuan-Feng Li, and Guang-Can Guo
|
Direct estimation of quantum coherence by collective measurements
|
8 pages, 5 figures
| null | null | null |
quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently established resource theory of quantum coherence allows for a
quantitative understanding of the superposition principle, with applications
reaching from quantum computing to quantum biology. While different quantifiers
of coherence have been proposed in the literature, their efficient estimation
in today's experiments remains a challenge. Here, we introduce a collective
measurement scheme for estimating the amount of coherence in quantum states,
which requires entangled measurements on two copies of the state. As we show by
numerical simulations, our scheme outperforms other estimation methods based on
tomography or adaptive measurements, leading to a higher precision in a large
parameter range for estimating established coherence quantifiers of qubit and
qutrit states. We show that our method is accessible with today's technology by
implementing it experimentally with photons, finding a good agreement between
experiment and theory.
|
[{'version': 'v1', 'created': 'Mon, 6 Jan 2020 03:50:42 GMT'}]
|
2020-01-07
|
[array(['Yuan', 'Yuan', ''], dtype=object)
array(['Hou', 'Zhibo', ''], dtype=object)
array(['Tang', 'Jun-Feng', ''], dtype=object)
array(['Streltsov', 'Alexander', ''], dtype=object)
array(['Xiang', 'Guo-Yong', ''], dtype=object)
array(['Li', 'Chuan-Feng', ''], dtype=object)
array(['Guo', 'Guang-Can', ''], dtype=object)]
|
18,024 |
0704.2576
|
Georg Biedermann
|
Georg Biedermann
|
L-stable functors
|
39 pages
| null | null | null |
math.AT math.CT
| null |
We generalize and greatly simplify the approach of Lydakis and
Dundas-R\"ondigs-{\O}stv{\ae}r to construct an L-stable model structure for
small functors from a closed symmetric monoidal model category V to a V-model
category M, where L is a small cofibrant object of V. For the special case
V=M=S_* pointed simplicial sets and L=S^1 this is the classical case of linear
functors and has been described as the first stage of the Goodwillie tower of a
homotopy functor. We show, that our various model structures are compatible
with a closed symmetric monoidal product on small functors. We compare them
with other L-stabilizations described by Hovey, Jardine and others. This gives
a particularly easy construction of the classical and the motivic stable
homotopy category with the correct smash product. We establish the monoid axiom
under certain conditions.
|
[{'version': 'v1', 'created': 'Thu, 19 Apr 2007 18:14:44 GMT'}]
|
2007-05-23
|
[array(['Biedermann', 'Georg', ''], dtype=object)]
|
18,025 |
1710.01372
|
Paul Constantine
|
Andrew Glaws and Paul G. Constantine
|
Gauss-Christoffel quadrature for inverse regression: applications to
computer experiments
| null | null | null | null |
math.NA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sufficient dimension reduction (SDR) provides a framework for reducing the
predictor space dimension in regression problems. We consider SDR in the
context of deterministic functions of several variables such as those arising
in computer experiments. In this context, SDR serves as a methodology for
uncovering ridge structure in functions, and two primary algorithms for
SDR---sliced inverse regression (SIR) and sliced average variance estimation
(SAVE)---approximate matrices of integrals using a sliced mapping of the
response. We interpret this sliced approach as a Riemann sum approximation of
the particular integrals arising in each algorithm. We employ well-known tools
from numerical analysis---namely, multivariate tensor product Gauss-Christoffel
quadrature and orthogonal polynomials---to produce new algorithms that improve
upon the Riemann sum-based numerical integration in SIR and SAVE. We call the
new algorithms Lanczos-Stieltjes inverse regression (LSIR) and
Lanczos-Stieltjes average variance estimation (LSAVE) due to their connection
with Stieltjes' method---and Lanczos' related discretization---for generating a
sequence of polynomials that are orthogonal to a given measure. We show that
the quadrature-based approach approximates the desired integrals, and we study
the behavior of LSIR and LSAVE with three numerical examples. As expected in
high order numerical integration, the quadrature-based LSIR and LSAVE exhibit
exponential convergence in the integral approximations compared to the first
order convergence of the classical SIR and SAVE. The disadvantage of LSIR and
LSAVE is that the underlying tensor product quadrature suffers from the curse
of dimensionality---that is, the number of quadrature nodes grows exponentially
with the input space dimension. Therefore, the proposed approach is most
appropriate for deterministic functions with fewer than ten independent inputs.
|
[{'version': 'v1', 'created': 'Tue, 3 Oct 2017 20:15:27 GMT'}
{'version': 'v2', 'created': 'Thu, 5 Oct 2017 19:37:10 GMT'}]
|
2017-10-09
|
[array(['Glaws', 'Andrew', ''], dtype=object)
array(['Constantine', 'Paul G.', ''], dtype=object)]
|
18,026 |
1909.09977
|
Yen Chin Ong
|
Yen Chin Ong
|
The Charge of Electron, Weak Gravity Conjecture and Black Hole Evolution
|
5 pages, 4 figures
| null | null | null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The charge of an electron is vastly larger than its mass. We found that black
hole evolution under Hawking evaporation is very sensitive to the value of
electron charge. If the electron charge is weakened by a mere one order of
magnitude, then the evolutionary paths of Reissner-Nordstr\"om black holes
under Hawking evaporation change substantially. In particular, weakening the
electron charge causes some black holes that would otherwise immediately
discharge towards Schwarzschild limit to first evolve towards extremality
before turning around. We discuss the possible connections between the weak
gravity conjecture, the cosmic censorship conjecture, and black hole evolution.
|
[{'version': 'v1', 'created': 'Sun, 22 Sep 2019 10:47:51 GMT'}]
|
2019-09-24
|
[array(['Ong', 'Yen Chin', ''], dtype=object)]
|
18,027 |
1604.05702
|
Kelsi Singer
|
Jeffrey M. Moore, William B. McKinnon, John R. Spencer, Alan D.
Howard, Paul M. Schenk, Ross A. Beyer, Francis Nimmo, Kelsi N. Singer, Orkan
M. Umurhan, Oliver L. White, S. Alan Stern, Kimberly Ennico, Cathy B. Olkin,
Harold A. Weaver, Leslie A. Young, Richard P. Binzel, Marc W. Buie, Bonnie J.
Buratti, Andrew F. Cheng, Dale P. Cruikshank, Will M. Grundy, Ivan R.
Linscott, Harold J. Reitsema, Dennis C. Reuter, Mark R. Showalter, Veronica
J. Bray, Carrie L. Chavez, Carly J. A. Howett, Tod R. Lauer, Carey M. Lisse,
Alex Harrison Parker, S. B. Porter, Simon J. Robbins, Kirby Runyon, Ted
Stryk, Henry B. Throop, Constantine C. C. Tsang, Anne J. Verbiscer, Amanda M.
Zangari, Andrew L. Chaikin, Don E. Wilhelms
|
The Geology of Pluto and Charon Through the Eyes of New Horizons
| null |
Science 351, 1284 (2016)
|
10.1126/science.aad7055
| null |
astro-ph.EP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
NASA's New Horizons spacecraft has revealed the complex geology of Pluto and
Charon. Pluto's encounter hemisphere shows ongoing surface geological activity
centered on a vast basin containing a thick layer of volatile ices that appears
to be involved in convection and advection, with a crater retention age no
greater than $\approx$10 Ma. Surrounding terrains show active glacial flow,
apparent transport and rotation of large buoyant water-ice crustal blocks, and
pitting, likely by sublimation erosion and/or collapse. More enigmatic features
include tall mounds with central depressions that are conceivably cryovolcanic,
and ridges with complex bladed textures. Pluto also has ancient cratered
terrains up to ~4 Ga old that are extensionally fractured and extensively
mantled and perhaps eroded by glacial or other processes. Charon does not
appear to be currently active, but experienced major extensional tectonism and
resurfacing (probably cryovolcanic) nearly 4 billion years ago. Impact crater
populations on Pluto and Charon are not consistent with the steepest proposed
impactor size-frequency distributions proposed for the Kuiper belt.
|
[{'version': 'v1', 'created': 'Tue, 19 Apr 2016 19:38:28 GMT'}]
|
2016-04-20
|
[array(['Moore', 'Jeffrey M.', ''], dtype=object)
array(['McKinnon', 'William B.', ''], dtype=object)
array(['Spencer', 'John R.', ''], dtype=object)
array(['Howard', 'Alan D.', ''], dtype=object)
array(['Schenk', 'Paul M.', ''], dtype=object)
array(['Beyer', 'Ross A.', ''], dtype=object)
array(['Nimmo', 'Francis', ''], dtype=object)
array(['Singer', 'Kelsi N.', ''], dtype=object)
array(['Umurhan', 'Orkan M.', ''], dtype=object)
array(['White', 'Oliver L.', ''], dtype=object)
array(['Stern', 'S. Alan', ''], dtype=object)
array(['Ennico', 'Kimberly', ''], dtype=object)
array(['Olkin', 'Cathy B.', ''], dtype=object)
array(['Weaver', 'Harold A.', ''], dtype=object)
array(['Young', 'Leslie A.', ''], dtype=object)
array(['Binzel', 'Richard P.', ''], dtype=object)
array(['Buie', 'Marc W.', ''], dtype=object)
array(['Buratti', 'Bonnie J.', ''], dtype=object)
array(['Cheng', 'Andrew F.', ''], dtype=object)
array(['Cruikshank', 'Dale P.', ''], dtype=object)
array(['Grundy', 'Will M.', ''], dtype=object)
array(['Linscott', 'Ivan R.', ''], dtype=object)
array(['Reitsema', 'Harold J.', ''], dtype=object)
array(['Reuter', 'Dennis C.', ''], dtype=object)
array(['Showalter', 'Mark R.', ''], dtype=object)
array(['Bray', 'Veronica J.', ''], dtype=object)
array(['Chavez', 'Carrie L.', ''], dtype=object)
array(['Howett', 'Carly J. A.', ''], dtype=object)
array(['Lauer', 'Tod R.', ''], dtype=object)
array(['Lisse', 'Carey M.', ''], dtype=object)
array(['Parker', 'Alex Harrison', ''], dtype=object)
array(['Porter', 'S. B.', ''], dtype=object)
array(['Robbins', 'Simon J.', ''], dtype=object)
array(['Runyon', 'Kirby', ''], dtype=object)
array(['Stryk', 'Ted', ''], dtype=object)
array(['Throop', 'Henry B.', ''], dtype=object)
array(['Tsang', 'Constantine C. C.', ''], dtype=object)
array(['Verbiscer', 'Anne J.', ''], dtype=object)
array(['Zangari', 'Amanda M.', ''], dtype=object)
array(['Chaikin', 'Andrew L.', ''], dtype=object)
array(['Wilhelms', 'Don E.', ''], dtype=object)]
|
18,028 |
2211.06700
|
Ryszard Deszcz
|
Ryszard Deszcz, Ma{\l}gorzata G{\l}ogowska, Marian Hotlo\'s, and
Katarzyna Sawicz
|
Hypersurfaces in space forms satisfying a particular Roter type equation
|
arXiv admin note: text overlap with arXiv:1911.02482
| null | null | null |
math.DG
|
http://creativecommons.org/licenses/by/4.0/
|
Let M be a hypersurface in the (n+1)-dimensional space forms, n > 3, with
three distinct principal curvatures. We prove that on the set U of all points
of M at which the Ricci operator of M also has three distinct eigenvalues, the
Riemann-Christoffel curvature tensor R of M is a linear combination of some
Kulkarni-Nomizu products formed by the metric tensor g, the Ricci tensor S and
its square S^2 of M, i.e., the tensor R satisfies some Roter type equation.
Moreover, on U the (0,4)-tensor R.S is a linear combination of some Tachibana
tensors formed by g, S and S^2.
|
[{'version': 'v1', 'created': 'Sat, 12 Nov 2022 16:34:25 GMT'}
{'version': 'v2', 'created': 'Wed, 14 Dec 2022 12:09:02 GMT'}]
|
2022-12-15
|
[array(['Deszcz', 'Ryszard', ''], dtype=object)
array(['Głogowska', 'Małgorzata', ''], dtype=object)
array(['Hotloś', 'Marian', ''], dtype=object)
array(['Sawicz', 'Katarzyna', ''], dtype=object)]
|
18,029 |
1403.0354
|
Zhiguo Ding
|
Zhiguo Ding and H. Vincent Poor
|
Energy Harvesting Cooperative Networks: Is the Max-Min Criterion Still
Diversity-Optimal?
|
30 pages, 7 figures
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper considers a general energy harvesting cooperative network with M
source-destination (SD) pairs and one relay, where the relay schedules only m
user pairs for transmissions. For the special case of m = 1, the addressed
scheduling problem is equivalent to relay selection for the scenario with one
SD pair and M relays. In conventional cooperative networks, the max-min
selection criterion has been recognized as a diversity-optimal strategy for
relay selection and user scheduling. The main contribution of this paper is to
show that the use of the max-min criterion will result in loss of diversity
gains in energy harvesting cooperative networks. Particularly when only a
single user is scheduled, analytical results are developed to demonstrate that
the diversity gain achieved by the max-min criterion is only (M+1)/2, much less
than the maximal diversity gain M. The max-min criterion suffers this diversity
loss because it does not reflect the fact that the source-relay channels are
more important than the relay-destination channels in energy harvesting
networks. Motivated by this fact, a few user scheduling approaches tailored to
energy harvesting networks are developed and their performance is analyzed.
Simulation results are provided to demonstrate the accuracy of the developed
analytical results and facilitate the performance comparison.
|
[{'version': 'v1', 'created': 'Mon, 3 Mar 2014 09:47:21 GMT'}]
|
2014-03-04
|
[array(['Ding', 'Zhiguo', ''], dtype=object)
array(['Poor', 'H. Vincent', ''], dtype=object)]
|
18,030 |
1510.02955
|
Cesar Manchein
|
Rafael M. da Silva, Marcus W. Beims, Cesar Manchein
|
Recurrence-time statistics in non-Hamiltonian volume preserving maps and
flows
|
10 pages and 8 figures
|
Phys. Rev. E 92, 022921 (2015)
|
10.1103/PhysRevE.92.022921
| null |
nlin.CD physics.flu-dyn stat.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the recurrence-time statistics (RTS) in three-dimensional
non-Hamiltonian volume preserving systems (VPS): an extended standard map, and
a fluid model. The extended map is a standard map weakly coupled to an
extra-dimension which contains a deterministic regular, mixed (regular and
chaotic) or chaotic motion. The extra-dimension strongly enhances the trapping
times inducing plateaus and distinct algebraic and exponential decays in the
RTS plots. The combined analysis of the RTS with the classification of ordered
and chaotic regimes and scaling properties, allows us to describe the intricate
way trajectories penetrate the before impenetrable regular islands from the
uncoupled case. Essentially the plateaus found in the RTS are related to
trajectories that stay long times inside trapping tubes, not allowing
recurrences, and then penetrates diffusively the islands (from the uncoupled
case) by a diffusive motion along such tubes in the extra-dimension. All
asymptotic exponential decays for the RTS are related to an ordered regime
(quasi-regular motion) and a mixing dynamics is conjectured for the model.
These results are compared to the RTS of the standard map with dissipation or
noise, showing the peculiarities obtained by using three-dimensional VPS. We
also analyze the RTS for a fluid model and show remarkable similarities to the
RTS in the extended standard map problem.
|
[{'version': 'v1', 'created': 'Sat, 10 Oct 2015 16:10:40 GMT'}]
|
2015-10-13
|
[array(['da Silva', 'Rafael M.', ''], dtype=object)
array(['Beims', 'Marcus W.', ''], dtype=object)
array(['Manchein', 'Cesar', ''], dtype=object)]
|
18,031 |
1609.02553
|
Viola Allevato
|
V. Allevato, F. Civano, A. Finoguenov, S. Marchesi, F. Shankar, G.
Zamorani, G. Hasinger, M. Salvato, T. Miyaji, R. Gilli, N. Cappelluti, M.
Brusa, H. Suh, G. Lanzuisi, B. Trakhtenbrot, R. Griffiths, C. Vignali, K.
Schawinski, A. Karim
|
The Chandra COSMOS Legacy Survey: Clustering of X-ray selected AGN at
2.9<z<5.5 using photometric redshift Probability Distribution Functions
|
Accepted for publication in The Astrophysical Journal
| null |
10.3847/0004-637X/832/1/70
| null |
astro-ph.GA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the measurement of the projected and redshift space 2-point
correlation function (2pcf) of the new catalog of Chandra COSMOS-Legacy AGN at
2.9$\leq$z$\leq$5.5 ($\langle L_{bol} \rangle \sim$10$^{46}$ erg/s) using the
generalized clustering estimator based on phot-z probability distribution
functions (Pdfs) in addition to any available spec-z. We model the projected
2pcf estimated using $\pi_{max}$ = 200 h$^{-1}$ Mpc with the 2-halo term and we
derive a bias at z$\sim$3.4 equal to b = 6.6$^{+0.60}_{-0.55}$, which
corresponds to a typical mass of the hosting halos of log M$_h$ =
12.83$^{+0.12}_{-0.11}$ h$^{-1}$ M$_{\odot}$. A similar bias is derived using
the redshift-space 2pcf, modelled including the typical phot-z error $\sigma_z$
= 0.052 of our sample at z$\geq$2.9. Once we integrate the projected 2pcf up to
$\pi_{max}$ = 200 h$^{-1}$ Mpc, the bias of XMM and \textit{Chandra} COSMOS at
z=2.8 used in Allevato et al. (2014) is consistent with our results at higher
redshift. The results suggest only a slight increase of the bias factor of
COSMOS AGN at z$\gtrsim$3 with the typical hosting halo mass of moderate
luminosity AGN almost constant with redshift and equal to logM$_h$ =
12.92$^{+0.13}_{-0.18}$ at z=2.8 and log M$_h$ = 12.83$^{+0.12}_{-0.11}$ at
z$\sim$3.4, respectively. The observed redshift evolution of the bias of COSMOS
AGN implies that moderate luminosity AGN still inhabit group-sized halos at
z$\gtrsim$3, but slightly less massive than observed in different independent
studies using X-ray AGN at z$\leq2$.
|
[{'version': 'v1', 'created': 'Thu, 8 Sep 2016 19:59:57 GMT'}
{'version': 'v2', 'created': 'Fri, 16 Sep 2016 08:40:42 GMT'}]
|
2016-11-23
|
[array(['Allevato', 'V.', ''], dtype=object)
array(['Civano', 'F.', ''], dtype=object)
array(['Finoguenov', 'A.', ''], dtype=object)
array(['Marchesi', 'S.', ''], dtype=object)
array(['Shankar', 'F.', ''], dtype=object)
array(['Zamorani', 'G.', ''], dtype=object)
array(['Hasinger', 'G.', ''], dtype=object)
array(['Salvato', 'M.', ''], dtype=object)
array(['Miyaji', 'T.', ''], dtype=object)
array(['Gilli', 'R.', ''], dtype=object)
array(['Cappelluti', 'N.', ''], dtype=object)
array(['Brusa', 'M.', ''], dtype=object)
array(['Suh', 'H.', ''], dtype=object)
array(['Lanzuisi', 'G.', ''], dtype=object)
array(['Trakhtenbrot', 'B.', ''], dtype=object)
array(['Griffiths', 'R.', ''], dtype=object)
array(['Vignali', 'C.', ''], dtype=object)
array(['Schawinski', 'K.', ''], dtype=object)
array(['Karim', 'A.', ''], dtype=object)]
|
18,032 |
2301.11369
|
Roberto Alvarenga
|
Roberto Alvarenga and Valdir Pereira Junior
|
On unramified automorphic forms over the projective line
|
15 pages
| null | null | null |
math.NT math.AG math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
Let $q$ be a prime power and $\mathbb{F}_q$ be the finite field with $q$
elements. In this article we investigate the space of unramified automorphic
forms for $\mathrm{PGL}_n$ over the rational function field defined over
$\mathbb{F}_q$ (i.e.\ for $\mathbb{P}^1$ defined over $\mathbb{F}_q$). In
particular, we prove that the space of unramified cusp form is trivial and (for
$n=3$) that the space of eigenforms is one dimensional. Moreover, we show that
there are no nontrivial unramified toroidal forms for $\mathrm{PGL}_3$ over
$\mathbb{P}^1$ and conjecture that the space of all toroidal automorphic forms
is trivial.
|
[{'version': 'v1', 'created': 'Thu, 26 Jan 2023 19:26:00 GMT'}]
|
2023-01-30
|
[array(['Alvarenga', 'Roberto', ''], dtype=object)
array(['Junior', 'Valdir Pereira', ''], dtype=object)]
|
18,033 |
1912.10979
|
Florian Lemmerich
|
Michael Ellers, Michael Cochez, Tobias Schumacher, Markus Strohmaier,
Florian Lemmerich
|
Privacy Attacks on Network Embeddings
| null | null | null | null |
cs.LG cs.CR cs.SI stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Data ownership and data protection are increasingly important topics with
ethical and legal implications, e.g., with the right to erasure established in
the European General Data Protection Regulation (GDPR). In this light, we
investigate network embeddings, i.e., the representation of network nodes as
low-dimensional vectors. We consider a typical social network scenario with
nodes representing users and edges relationships between them. We assume that a
network embedding of the nodes has been trained. After that, a user demands the
removal of his data, requiring the full deletion of the corresponding network
information, in particular the corresponding node and incident edges. In that
setting, we analyze whether after the removal of the node from the network and
the deletion of the vector representation of the respective node in the
embedding significant information about the link structure of the removed node
is still encoded in the embedding vectors of the remaining nodes. This would
require a (potentially computationally expensive) retraining of the embedding.
For that purpose, we deploy an attack that leverages information from the
remaining network and embedding to recover information about the neighbors of
the removed node. The attack is based on (i) measuring distance changes in
network embeddings and (ii) a machine learning classifier that is trained on
networks that are constructed by removing additional nodes. Our experiments
demonstrate that substantial information about the edges of a removed node/user
can be retrieved across many different datasets. This implies that to fully
protect the privacy of users, node deletion requires complete retraining - or
at least a significant modification - of original network embeddings. Our
results suggest that deleting the corresponding vector representation from
network embeddings alone is not sufficient from a privacy perspective.
|
[{'version': 'v1', 'created': 'Mon, 23 Dec 2019 17:10:20 GMT'}]
|
2019-12-24
|
[array(['Ellers', 'Michael', ''], dtype=object)
array(['Cochez', 'Michael', ''], dtype=object)
array(['Schumacher', 'Tobias', ''], dtype=object)
array(['Strohmaier', 'Markus', ''], dtype=object)
array(['Lemmerich', 'Florian', ''], dtype=object)]
|
18,034 |
0912.1180
|
Benedetta Vulcani
|
Benedetta Vulcani (1 and 2), Bianca M. Poggianti (2), Rose A. Finn
(3), Gregory Rudnick (4), Vandana Desai (5), Steven Bamford (6) ((1)
Astronomical Department, Padova University, Italy, (2) INAF-Astronomical
Observatory of Padova, Italy, (3) Department of Physics, Siena College,
Loudonville, USA, (4) University of Kansas, Department of Physics and
Astronomy, USA, (5) Spitzer Science Center, California Institute of
Technology, USA, (6) School of Physics and Astronomy, University of
Nottingham, United Kingdom)
|
Comparing the relation between star formation and galaxy mass in
different environments
|
ApJL in press
| null |
10.1088/2041-8205/710/1/L1
| null |
astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Analyzing 24 mu m MIPS/Spitzer data and the [O II]3727 line of a sample of
galaxies at 0.4 < z < 0.8 from the ESO Distant Cluster Survey (EDisCS), we
investigate the ongoing star formation rate (SFR) and the specific star
formation rate (SSFR) as a function of stellar mass in galaxy clusters and
groups, and compare with field studies. As for the field, we find a decline in
SFR with time, indicating that star formation (SF) was more active in the past,
and a decline in SSFR as galaxy stellar mass increases, showing that the
current SF contributes more to the fractional growth of low-mass galaxies than
high-mass galaxies. However, we find a lower median SFR (by a factor of ~1.5)
in cluster star-forming galaxies than in the field. The difference is highly
significant when all Spitzer and emission-line galaxies are considered,
regardless of color. It remains significant at z>0.6 after removing red
emission-line (REL) galaxies, to avoid possible AGN contamination. While there
is overlap between the cluster and field SFR-Mass relations, we find a
population of cluster galaxies (10-25%) with reduced SFR for their mass. These
are likely to be in transition from star-forming to passive. Comparing
separately clusters and groups at z>0.6, only cluster trends are significantly
different from the field, and the average cluster SFR at a given mass is ~2
times lower than the field. We conclude that the average SFR in star-forming
galaxies varies with galaxy environment at a fixed galaxy mass.
|
[{'version': 'v1', 'created': 'Mon, 7 Dec 2009 08:36:08 GMT'}]
|
2015-05-14
|
[array(['Vulcani', 'Benedetta', '', '1 and 2'], dtype=object)
array(['Poggianti', 'Bianca M.', ''], dtype=object)
array(['Finn', 'Rose A.', ''], dtype=object)
array(['Rudnick', 'Gregory', ''], dtype=object)
array(['Desai', 'Vandana', ''], dtype=object)
array(['Bamford', 'Steven', ''], dtype=object)]
|
18,035 |
1301.6597
|
Dmitry Zhukhovitskii I.
|
D.I. Zhukhovitskii (1), A.V. Ivlev (2), V.E. Fortov (1), and G.E.
Morfill (2) ((1) Joint Institute of High Temperatures, Russian Academy of
Sciences, Moscow, Russia, (2) Max-Planck-Institut f\"ur extraterrestrische
Physik, Giessenbachstrasse, Garching, Germany)
|
Onset of cavity deformation upon subsonic motion of a projectile in a
fluid complex plasma
|
7 pages, 3 figures
|
Phys. Rev. E 87, 063108 (2013)
|
10.1103/PhysRevE.87.063108
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study deformation of a cavity around a large projectile moving with
subsonic velocity in the cloud of small dust particles. To solve this problem,
we employ the Navier--Stokes equation for a compressible fluid with due regard
for friction between dust particles and atoms of neutral gas. The solutions
shows that due to friction, the pressure of dust cloud at the boundary of the
cavity behind the projectile can become negative, which entails formation of a
microscopic void free from dust particles -- the cavity deformation.
Corresponding threshold velocity is calculated, which is found to decrease with
increasing cavity size. Measurement of such velocity makes it possible to
estimate the static pressure inside the dust cloud.
|
[{'version': 'v1', 'created': 'Mon, 28 Jan 2013 16:43:01 GMT'}
{'version': 'v2', 'created': 'Sun, 28 Apr 2013 18:48:36 GMT'}
{'version': 'v3', 'created': 'Tue, 18 Jun 2013 19:35:49 GMT'}]
|
2013-06-19
|
[array(['Zhukhovitskii', 'D. I.', ''], dtype=object)
array(['Ivlev', 'A. V.', ''], dtype=object)
array(['Fortov', 'V. E.', ''], dtype=object)
array(['Morfill', 'G. E.', ''], dtype=object)]
|
18,036 |
0809.0017
|
Jakob Stix
|
Jakob Stix
|
On cuspidal sections of algebraic fundamental groups
| null | null | null | null |
math.AG math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Rational points in the boundary of a hyperbolic curve over a field with
sufficiently nontrivial Kummer theory are the source for an abundance of
sections of the fundamental group exact sequence. We follow and refine
Nakamura's approach towards these boundary sections. For example, we obtain a
weak anabelian theorem for hyperbolic genus 0 curves over quite general fields
including for example the maximal abelian extension of the rational numbers.
|
[{'version': 'v1', 'created': 'Fri, 29 Aug 2008 21:14:30 GMT'}]
|
2008-09-02
|
[array(['Stix', 'Jakob', ''], dtype=object)]
|
18,037 |
1610.01164
|
Michael McCourt
|
Michael McCourt, S. Peng Oh, Ryan M. O'Leary, Ann-Marie Madigan
|
A Characteristic Scale for Cold Gas
|
version with high resolution available at:
http://web.physics.ucsb.edu/~peng/clumps.pdf
|
2018MNRAS.473.5407M
|
10.1093/mnras/stx2687
| null |
astro-ph.GA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find that clouds of optically-thin, pressure-confined gas are prone to
fragmentation as they cool below $\sim10^6$ K. This fragmentation follows the
lengthscale $\sim{c}_{\text{s}}\,t_{\text{cool}}$, ultimately reaching very
small scales ($\sim{0.1} \text{pc}/n$) as they reach the temperature $\sim10^4$
K at which hydrogen recombines. While this lengthscale depends on the ambient
pressure confining the clouds, we find that the column density through an
individual fragment $N_{\text{cloudlet}}\sim10^{17} \text{cm}^{-3}$ is
essentially independent of environment; this column density represents a
characteristic scale for atomic gas at $10^4$ K. We therefore suggest that
"clouds" of cold, atomic gas may in fact have the structure of a mist or a fog,
composed of tiny fragments dispersed throughout the ambient medium. We show
that this scale emerges in hydrodynamic simulations, and that the corresponding
increase in the surface area may imply rapid entrainment of cold gas. We also
apply it to a number of observational puzzles, including the large covering
fraction of diffuse gas in galaxy halos, the broad line widths seen in quasar
and AGN spectra, and the entrainment of cold gas in galactic winds. While our
simulations make a number of assumptions and thus have associated
uncertainties, we show that this characteristic scale is consistent with a
number of observations, across a wide range of astrophysical environments. We
discuss future steps for testing, improving, and extending our model.
|
[{'version': 'v1', 'created': 'Tue, 4 Oct 2016 20:00:04 GMT'}]
|
2018-05-10
|
[array(['McCourt', 'Michael', ''], dtype=object)
array(['Oh', 'S. Peng', ''], dtype=object)
array(["O'Leary", 'Ryan M.', ''], dtype=object)
array(['Madigan', 'Ann-Marie', ''], dtype=object)]
|
18,038 |
1006.5183
|
Julia Bernatska
|
J Bernatska and A Messina
|
Reconstruction of Hamiltonians from given time evolutions
|
14 pages
|
Phys. Scr. 85 (2012) 015001
|
10.1088/0031-8949/85/01/015001
| null |
quant-ph math.GR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we propose a systematic method to solve the inverse dynamical
problem for a quantum system governed by the von Neumann equation: to find a
class of Hamiltonians reproducing a prescribed time evolution of a pure or
mixed state of the system. Our approach exploits the equivalence between an
action of the group of evolution operators over the state space and an adjoint
action of the unitary group over Hermitian matrices. The method is illustrated
by two examples involving a pure and a mixed state.
|
[{'version': 'v1', 'created': 'Sun, 27 Jun 2010 06:47:44 GMT'}
{'version': 'v2', 'created': 'Sat, 17 Jul 2010 09:13:22 GMT'}
{'version': 'v3', 'created': 'Sun, 27 Feb 2011 21:11:42 GMT'}]
|
2013-07-09
|
[array(['Bernatska', 'J', ''], dtype=object)
array(['Messina', 'A', ''], dtype=object)]
|
18,039 |
1807.06307
|
Yuya Takeuchi
|
Yuya Takeuchi
|
On the second variation of the Graham-Witten energy
|
10 pages, typos corrected
|
Proc. Amer. Math. Soc. 148 (2020), 393-402
|
10.1090/proc/14702
| null |
math.DG hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The area renormalization procedure gives an invariant of even-dimensional
closed submanifolds in a conformal manifold, which we call the Graham-Witten
energy, and it is a generalization of the classical Willmore energy. In this
paper, we obtain an explicit formula for the second variation of this energy at
minimal submanifolds in an Einstein manifold. As an application, we prove that
the even-dimensional totally geodesic spheres in the unit sphere are critical
points of the Graham-Witten energy with non-negative second variation.
|
[{'version': 'v1', 'created': 'Tue, 17 Jul 2018 09:51:19 GMT'}
{'version': 'v2', 'created': 'Tue, 7 Aug 2018 04:22:19 GMT'}
{'version': 'v3', 'created': 'Mon, 20 Jan 2020 06:45:48 GMT'}]
|
2020-01-22
|
[array(['Takeuchi', 'Yuya', ''], dtype=object)]
|
18,040 |
1210.7547
|
Jeffrey Meier
|
Jeffrey Meier
|
Small Seifert fibered surgery on hyperbolic pretzel knots
|
42 pages, 27 figures; Corrected typos, added reference, general
incorporation of referee comments, including a significant addition to the
proofs in Section 5. To appear in Algebraic and Geometric Topology
|
Algebr. Geom. Topol. 14 (2014), no. 1, 439-487
| null | null |
math.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We complete the classification of hyperbolic pretzel knots admitting Seifert
fibered surgeries. This is the final step in understanding all exceptional
surgeries on hyperbolic pretzel knots. We also present results toward similar
classifications for non-pretzel Montesinos knots of length three.
|
[{'version': 'v1', 'created': 'Mon, 29 Oct 2012 02:51:29 GMT'}
{'version': 'v2', 'created': 'Tue, 23 Jul 2013 22:23:17 GMT'}]
|
2015-04-15
|
[array(['Meier', 'Jeffrey', ''], dtype=object)]
|
18,041 |
1510.04305
|
Mendeli Vainstein
|
Heitor C. M. Fernandes, Mendeli H. Vainstein and Carolina Brito
|
On the Modeling of Droplet Evaporation on Superhydrophobic Surfaces
|
23 pages, 7 figures
|
Langmuir, 2015, 31 (27), p 7652
|
10.1021/acs.langmuir.5b01265
| null |
cond-mat.soft cond-mat.mtrl-sci physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When a drop of water is placed on a rough surface, there are two possible
extreme regimes of wetting: the one called Cassie-Baxter (CB) with air pockets
trapped underneath the droplet and the one characterized by the homogeneous
wetting of the surface, called the Wenzel (W) state. A way to investigate the
transition between these two states is by means of evaporation experiments, in
which the droplet starts in a CB state and, as its volume decreases, penetrates
the surface's grooves, reaching a W state. Here we present a theoretical model
based on the global interfacial energies for CB and W states that allows us to
predict the thermodynamic wetting state of the droplet for a given volume and
surface texture. We first analyze the influence of the surface geometric
parameters on the droplet's final wetting state with constant volume, and show
that it depends strongly on the surface texture. We then vary the volume of the
droplet keeping fixed the geometric surface parameters to mimic evaporation and
show that the drop experiences a transition from the CB to the W state when its
volume reduces, as observed in experiments. To investigate the dependency of
the wetting state on the initial state of the droplet, we implement a cellular
Potts model in three dimensions. Simulations show a very good agreement with
theory when the initial state is W, but it disagrees when the droplet is
initialized in a CB state, in accordance with previous observations which show
that the CB state is metastable in many cases. Both simulations and theoretical
model can be modified to study other types of surface.
|
[{'version': 'v1', 'created': 'Wed, 14 Oct 2015 20:45:26 GMT'}]
|
2015-10-16
|
[array(['Fernandes', 'Heitor C. M.', ''], dtype=object)
array(['Vainstein', 'Mendeli H.', ''], dtype=object)
array(['Brito', 'Carolina', ''], dtype=object)]
|
18,042 |
2202.06647
|
Simon Burton
|
Nikolas P. Breuckmann and Simon Burton
|
Fold-Transversal Clifford Gates for Quantum Codes
| null | null | null | null |
quant-ph
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We generalize the concept of folding from surface codes to CSS codes by
considering certain dualities within them. In particular, this gives a general
method to implement logical operations in suitable LDPC quantum codes using
transversal gates and qubit permutations only.
To demonstrate our approach, we specifically consider a [[30, 8, 3]]
hyperbolic quantum code called Bring's code. Further, we show that by
restricting the logical subspace of Bring's code to four qubits, we can obtain
the full Clifford group on that subspace.
|
[{'version': 'v1', 'created': 'Mon, 14 Feb 2022 12:00:35 GMT'}
{'version': 'v2', 'created': 'Tue, 15 Feb 2022 14:06:16 GMT'}]
|
2022-02-16
|
[array(['Breuckmann', 'Nikolas P.', ''], dtype=object)
array(['Burton', 'Simon', ''], dtype=object)]
|
18,043 |
2109.07449
|
Jessica Lin
|
Jessica Lin, Amir Zeldes
|
WikiGUM: Exhaustive Entity Linking for Wikification in 12 Genres
| null | null | null | null |
cs.CL
|
http://creativecommons.org/licenses/by/4.0/
|
Previous work on Entity Linking has focused on resources targeting non-nested
proper named entity mentions, often in data from Wikipedia, i.e. Wikification.
In this paper, we present and evaluate WikiGUM, a fully wikified dataset,
covering all mentions of named entities, including their non-named and
pronominal mentions, as well as mentions nested within other mentions. The
dataset covers a broad range of 12 written and spoken genres, most of which
have not been included in Entity Linking efforts to date, leading to poor
performance by a pretrained SOTA system in our evaluation. The availability of
a variety of other annotations for the same data also enables further research
on entities in context.
|
[{'version': 'v1', 'created': 'Wed, 15 Sep 2021 17:35:24 GMT'}]
|
2021-09-16
|
[array(['Lin', 'Jessica', ''], dtype=object)
array(['Zeldes', 'Amir', ''], dtype=object)]
|
18,044 |
1610.09214
|
Jose Luis Bl\'azquez-Salcedo
|
Jose Luis Bl\'azquez-Salcedo, Vitor Cardoso, Valeria Ferrari, Leonardo
Gualtieri, Panagiota Kanti, Fech Scen Khoo, Burkhard Kleihaus, Jutta Kunz,
Caio F. B. Macedo, Sindy Mojica, Paolo Pani, Eugen Radu
|
Black holes in Einstein-Gau\ss -Bonnet-dilaton theory
|
8 pages, 7 figures
|
Proc.IAU, 12 (S324), 265-272 (2016)
|
10.1017/S1743921316012965
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generalizations of the Schwarzschild and Kerr black holes are discussed in an
astrophysically viable generalized theory of gravity, which includes higher
curvature corrections in the form of the Gauss-Bonnet term, coupled to a
dilaton. The angular momentum of these black holes can slightly exceed the Kerr
bound. The location and the orbital frequency of particles in their innermost
stable circular orbits can deviate significantly from the respective Kerr
values. Study of the quasinormal modes of the static black holes gives strong
evidence that they are mode stable against polar and axial perturbations.
Future gravitational wave observations should improve the current bound on the
Gauss-Bonnet coupling constant, based on observations of the low-mass x-ray
binary A 0620-00.
|
[{'version': 'v1', 'created': 'Fri, 28 Oct 2016 13:54:15 GMT'}]
|
2017-07-10
|
[array(['Blázquez-Salcedo', 'Jose Luis', ''], dtype=object)
array(['Cardoso', 'Vitor', ''], dtype=object)
array(['Ferrari', 'Valeria', ''], dtype=object)
array(['Gualtieri', 'Leonardo', ''], dtype=object)
array(['Kanti', 'Panagiota', ''], dtype=object)
array(['Khoo', 'Fech Scen', ''], dtype=object)
array(['Kleihaus', 'Burkhard', ''], dtype=object)
array(['Kunz', 'Jutta', ''], dtype=object)
array(['Macedo', 'Caio F. B.', ''], dtype=object)
array(['Mojica', 'Sindy', ''], dtype=object)
array(['Pani', 'Paolo', ''], dtype=object)
array(['Radu', 'Eugen', ''], dtype=object)]
|
18,045 |
2004.09117
|
David Fern\'andez-Duque
|
David Fern\'andez-Duque and Oriola Gjetaj and Andreas Weiermann
|
Intermediate Goodstein principles
| null | null | null | null |
math.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The original Goodstein process proceeds by writing natural numbers in nested
exponential $k$-normal form, then successively raising the base to $k+1$ and
subtracting one from the end result. Such sequences always reach zero, but this
fact is unprovable in Peano arithmetic. In this paper we instead consider
notations for natural numbers based on the Ackermann function. We define three
new Goodstein processes, obtaining new independence results for $ {\sf ACA}_0$,
${\sf ACA}_0'$ and ${\sf ACA}_0^+$, theories of second order arithmetic related
to the existence of Turing jumps.
|
[{'version': 'v1', 'created': 'Mon, 20 Apr 2020 08:20:10 GMT'}
{'version': 'v2', 'created': 'Tue, 12 Apr 2022 18:45:35 GMT'}]
|
2022-04-14
|
[array(['Fernández-Duque', 'David', ''], dtype=object)
array(['Gjetaj', 'Oriola', ''], dtype=object)
array(['Weiermann', 'Andreas', ''], dtype=object)]
|
18,046 |
cond-mat/0503672
|
W. Prellier
|
P. Padhan and W. Prellier
|
Anisotropic pinned/biased magnetization in $SrRuO_3/SrMnO_3$
superlattices
|
To be published in Eur. Jour. Phys. B for a topical issue on "new
trends in magnetic exchange bias phenomena"
|
Eur. Phys. J. B 45 (2005) 169-173
|
10.1140/epjb/e2005-00176-5
| null |
cond-mat.mtrl-sci cond-mat.str-el
| null |
The exchange coupling at the interfaces of magnetic superlattices consisting
of ferromagnetic $SrRuO_3$ and antiferromagnetic $SrMnO_3$ grown on (001)
oriented $SrTiO_3$ is studied with in-plane and out-of-plane orientations, with
respect to the substrate plane, of the cooling magnetic field. The
magnetization of the in-plane, field cooled hysteresis loop is lower than the
corresponding in-plane zero-field-cooled hysteresis loop. The out-of-plane
field cooled hysteresis loop is shifted, from the origin, along the graphical
magnetization axis. We attribute this irreversible rotation of the moment to
the pinning/biasing of spin in the $SrRuO_3$ layer in the vicinity of
interfaces by the antiferromagnetic $SrMnO_3$ layer.
|
[{'version': 'v1', 'created': 'Tue, 29 Mar 2005 10:11:38 GMT'}]
|
2009-11-11
|
[array(['Padhan', 'P.', ''], dtype=object)
array(['Prellier', 'W.', ''], dtype=object)]
|
18,047 |
math/0204044
|
Francisco Santos
|
Francisco Santos
|
Non-connected toric Hilbert schemes
|
18 pages, 2 figures. Except for Remark 2.6 (see below) changes w.r.t.
version 2 are mostly minor editings suggested by an anonimous referee of
"Mathematische Annalen". The paper has been accepted in that journal. Most of
the contents of Remark 2.6 have been deleted, since there was a flaw in the
argument
|
Mathematische Annalen, 332:3 (2005), 645-665
|
10.1007/s00208-005-0643-5
| null |
math.CO math.AG
| null |
We construct small (50 and 26 points, respectively) point sets in dimension 5
whose graphs of triangulations are not connected. These examples improve our
construction in J. Amer. Math. Soc., 13:3 (2000), 611--637 not only in size,
but also in that their toric Hilbert schemes are not connected either, a
question left open in that article. Additionally, the point sets can easily be
put into convex position, providing examples of 5-dimensional polytopes with
non-connected graph of triangulations.
|
[{'version': 'v1', 'created': 'Wed, 3 Apr 2002 10:18:43 GMT'}
{'version': 'v2', 'created': 'Wed, 12 Mar 2003 18:49:44 GMT'}
{'version': 'v3', 'created': 'Thu, 13 Nov 2003 22:59:28 GMT'}]
|
2007-05-23
|
[array(['Santos', 'Francisco', ''], dtype=object)]
|
18,048 |
cond-mat/9802268
|
G. Schuetz
|
Gunter M. Sch\"utz (Forschungszentrum J\"ulich)
|
Dynamic Matrix Ansatz for Integrable Reaction-Diffusion Processes
|
Latex, 23 pages, to appear in European Physical Journal B
| null |
10.1007/s100510050483
| null |
cond-mat.stat-mech
| null |
We show that the stochastic dynamics of a large class of one-dimensional
interacting particle systems may be presented by integrable quantum spin
Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an
alternative description of these processes in terms of a time-dependent
operator algebra with quadratic relations. These relations generate the Bethe
ansatz equations for the spectrum and turn the calculation of time-dependent
expectation values into the problem of either finding representations of this
algebra or of solving functional equations for the initial values of the
operators. We use both strategies for the study of two specific models: (i) We
construct a two-dimensional time-dependent representation of the algebra for
the symmetric exclusion process with open boundary conditions. In this way we
obtain new results on the dynamics of this system and on the eigenvectors and
eigenvalues of the corresponding quantum spin chain, which is the isotropic
Heisenberg ferromagnet with non-diagonal, symmetry-breaking boundary fields.
(ii) We consider the non-equilibrium spin relaxation of Ising spins with
zero-temperature Glauber dynamics and an additional coupling to an
infinite-temperature heat bath with Kawasaki dynamics. We solve the functional
equations arising from the algebraic description and show non-perturbatively on
the level of all finite-order correlation functions that the coupling to the
infinite-temperature heat bath does not change the late-time behaviour of the
zero-temperature process. The associated quantum chain is a non-hermitian
anisotropic Heisenberg chain related to the seven-vertex model.
|
[{'version': 'v1', 'created': 'Wed, 25 Feb 1998 14:47:26 GMT'}]
|
2009-10-31
|
[array(['Schütz', 'Gunter M.', '', 'Forschungszentrum Jülich'],
dtype=object) ]
|
18,049 |
0806.1166
|
Edward Cackett
|
Edward M. Cackett (1), Rudy Wijnands (2), Jon M. Miller (1), Edward F.
Brown (3), Nathalie Degenaar (2) ((1) University of Michigan, (2) University
of Amsterdam, (3) Michigan State University)
|
Cooling of the crust in the neutron star low-mass X-ray binary MXB
1659-29
|
accepted for publication in ApJL, 4 pages, 1 figures
| null |
10.1086/593703
| null |
astro-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In quasi-persistent neutron star transients, long outbursts cause the neutron
star crust to be heated out of thermal equilibrium with the rest of the star.
During quiescence, the crust then cools back down. Such crustal cooling has
been observed in two quasi-persistent sources: KS 1731-260 and MXB 1659-29.
Here we present an additional Chandra observation of MXB 1659-29 in quiescence,
which extends the baseline of monitoring to 6.6 yr after the end of the
outburst. This new observation strongly suggests that the crust has thermally
relaxed, with the temperature remaining consistent over 1000 days. Fitting the
temperature cooling curve with an exponential plus constant model we determine
an e-folding timescale of 465 +/- 25 days, with the crust cooling to a constant
surface temperature of kT = 54 +/- 2 eV (assuming D=10 kpc). From this, we
infer a core temperature in the range 3.5E7-8.3E7 K (assuming D=10 kpc), with
the uncertainty due to the surface composition. Importantly, we tested two
neutron star atmosphere models as well as a blackbody model, and found that the
thermal relaxation time of the crust is independent of the chosen model and the
assumed distance.
|
[{'version': 'v1', 'created': 'Fri, 6 Jun 2008 14:19:38 GMT'}
{'version': 'v2', 'created': 'Wed, 24 Sep 2008 20:51:45 GMT'}]
|
2009-11-13
|
[array(['Cackett', 'Edward M.', ''], dtype=object)
array(['Wijnands', 'Rudy', ''], dtype=object)
array(['Miller', 'Jon M.', ''], dtype=object)
array(['Brown', 'Edward F.', ''], dtype=object)
array(['Degenaar', 'Nathalie', ''], dtype=object)]
|
18,050 |
1611.09091
|
Konstantin Stepanyantz
|
I.V.Nartsev, K.V.Stepanyantz
|
NSVZ-like scheme for the photino mass in softly broken ${\cal N}=1$ SQED
regularized by higher derivatives
|
7 pages, no figures, a misprint corrected
| null |
10.1134/S0021364017020059
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the case of using the higher derivative regularization we construct the
subtraction scheme which gives the NSVZ-like relation for the anomalous
dimension of the photino mass in softly broken ${\cal N}=1$ SQED with $N_f$
flavors in all loops. The corresponding renormalization prescription is
determined by simple boundary conditions imposed on the renormalization
constants. It allows fixing an arbitrariness of choosing finite counterterms in
every order of the perturbation theory in such a way that the renormalization
group functions defined in terms of the renormalized coupling constant satisfy
the NSVZ-like relation.
|
[{'version': 'v1', 'created': 'Mon, 28 Nov 2016 12:13:23 GMT'}
{'version': 'v2', 'created': 'Tue, 29 Nov 2016 18:03:35 GMT'}]
|
2017-03-08
|
[array(['Nartsev', 'I. V.', ''], dtype=object)
array(['Stepanyantz', 'K. V.', ''], dtype=object)]
|
18,051 |
hep-ex/0406011
|
Jan Timmermans
|
The DELPHI Collaboration, J. Abdallah, et al
|
The measurement of alpha_s from event shapes with the DELPHI detector at
the highest LEP energies
|
38 pages, 7 figures, Accepted by Eur. Phys. J. C
|
Eur.Phys.J.C37:1-23,2004
|
10.1140/epjc/s2004-01889-x
|
CERN-EP-2004-007
|
hep-ex
| null |
Hadronic event shape distributions are determined from data in e+e-
collisions between 183 and 207 GeV. From these the strong coupling alpha_s is
extracted in O(alpha_s^2), NLLA and matched O(alpha_s^2)+NLLA theory.
Hadronisation corrections evaluated with fragmentation model generators as well
as an analytical power ansatz are applied. Comparing these measurements to
those obtained at and around M_Z allows a combined measurement of alpha_s from
all DELPHI data and a test of the energy dependence of the strong coupling.
|
[{'version': 'v1', 'created': 'Wed, 2 Jun 2004 15:07:49 GMT'}]
|
2014-11-17
|
[array(['The DELPHI Collaboration', '', ''], dtype=object)
array(['Abdallah', 'J.', ''], dtype=object)]
|
18,052 |
1610.03880
|
Niovi Kehayopulu
|
Niovi Kehayopulu
|
From ordered semigroups to ordered hypersemigroups
| null | null | null | null |
math.GM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We wrote this paper as an example to show the way we pass from ordered
semigroups to ordered hypersemigroups.
|
[{'version': 'v1', 'created': 'Tue, 11 Oct 2016 18:08:36 GMT'}
{'version': 'v2', 'created': 'Thu, 16 Feb 2017 14:20:26 GMT'}]
|
2017-02-17
|
[array(['Kehayopulu', 'Niovi', ''], dtype=object)]
|
18,053 |
1805.07551
|
Muhua Sun
|
Muhua Sun, Jiake Wei, Zhi Xu, Qianming Huang, Yu Zhao, Wenlong Wang,
Xuedong Bai
|
Electrochemical solid-state amorphization in the immiscible Cu-Li
system: Size matters
|
14 pages,4 figures
| null | null | null |
cond-mat.mtrl-sci
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a typical immiscible binary system, copper (Cu) and lithium (Li) show no
alloying and chemical intermixing under normal circumstances. A notable example
that takes advantages of the immiscibility between Cu and Li is the widespread
utilization of Cu foils as the anodic current collector in Li-ion batteries.
Here we show that the nanoscale size effect can play a subtle yet critical role
in mediating the chemical activity of Cu and therefore its miscibility with Li,
such that the electrochemical alloying and solid-state amorphization will occur
in such an immiscible system when decreasing Cu nanoparticle sizes into
ultrasmall range. This unusual observation was accomplished by performing
in-situ studies of the electrochemical lithiation processes of individual CuO
nanowires inside a transmission electron microscopy (TEM). Upon lithiation, CuO
nanowires are first electrochemically reduced to form discrete ultrasmall Cu
nanocrystals that, unexpectedly, can in turn undergo further electrochemical
lithiation to form amorphous CuLix nanoalloys. Real-time dynamic observations
by in-situ TEM unveil that there is a critical grain size (ca. 6 nm), below
which the crystalline Cu nanoparticles can be continuously lithiated and
amorphized. Electron energy loss spectra indicate that there is a net charge
transfer from Li to Cu in the amorphous CuLix nanoalloys. Another intriguing
finding is that the amorphous alloying phenomena in Cu-Li system is reversible,
as manifested by the in-situ observation of electron-beam-induced delithiation
of the as-formed amorphous CuLix nanoalloys.
|
[{'version': 'v1', 'created': 'Sat, 19 May 2018 09:06:45 GMT'}]
|
2018-05-22
|
[array(['Sun', 'Muhua', ''], dtype=object)
array(['Wei', 'Jiake', ''], dtype=object)
array(['Xu', 'Zhi', ''], dtype=object)
array(['Huang', 'Qianming', ''], dtype=object)
array(['Zhao', 'Yu', ''], dtype=object)
array(['Wang', 'Wenlong', ''], dtype=object)
array(['Bai', 'Xuedong', ''], dtype=object)]
|
18,054 |
2009.14695
|
Carlos Perales-Gonzalez
|
Carlos Perales-Gonz\'alez
|
Global convergence of Negative Correlation Extreme Learning Machine
|
Jupyter Notebook associated in
https://github.com/cperales/pyridge/blob/ncelm/NCELM_convergence.ipynb
|
Neural Process Lett (2021)
|
10.1007/s11063-021-10492-z
| null |
cs.LG cs.NE stat.ML
|
http://creativecommons.org/licenses/by/4.0/
|
Ensemble approaches introduced in the Extreme Learning Machine (ELM)
literature mainly come from methods that relies on data sampling procedures,
under the assumption that the training data are heterogeneously enough to set
up diverse base learners. To overcome this assumption, it was proposed an ELM
ensemble method based on the Negative Correlation Learning (NCL) framework,
called Negative Correlation Extreme Learning Machine (NCELM). This model works
in two stages: i) different ELMs are generated as base learners with random
weights in the hidden layer, and ii) a NCL penalty term with the information of
the ensemble prediction is introduced in each ELM minimization problem,
updating the base learners, iii) second step is iterated until the ensemble
converges.
Although this NCL ensemble method was validated by an experimental study with
multiple benchmark datasets, no information was given on the conditions about
this convergence. This paper mathematically presents the sufficient conditions
to guarantee the global convergence of NCELM. The update of the ensemble in
each iteration is defined as a contraction mapping function, and through Banach
theorem, global convergence of the ensemble is proved.
|
[{'version': 'v1', 'created': 'Wed, 30 Sep 2020 14:18:10 GMT'}
{'version': 'v2', 'created': 'Tue, 30 Mar 2021 09:18:57 GMT'}]
|
2021-03-31
|
[array(['Perales-González', 'Carlos', ''], dtype=object)]
|
18,055 |
1801.00117
|
Markus Haltmeier
|
Markus Haltmeier, Michael Sandbichler, Thomas Berer, Johannes
Bauer-Marschallinger, Peter Burgholzer, and Linh Nguyen
|
A New Sparsification and Reconstruction Strategy for Compressed Sensing
Photoacoustic Tomography
|
15 pages, 10 figures
| null |
10.1121/1.5042230
| null |
math.NA physics.med-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compressed sensing (CS) is a promising approach to reduce the number of
measurements in photoacoustic tomography (PAT) while preserving high spatial
resolution. This allows to increase the measurement speed and to reduce system
costs. Instead of collecting point-wise measurements, in CS one uses various
combinations of pressure values at different sensor locations. Sparsity is the
main condition allowing to recover the photoacoustic (PA) source from
compressive measurements. In this paper we introduce a new concept enabling
sparse recovery in CS PAT. Our approach is based on the fact that the second
time derivative applied to the measured pressure data corresponds to the
application of the Laplacian to the original PA source. As typical PA sources
consist of smooth parts and singularities along interfaces the Laplacian of the
source is sparse (or at least compressible). To efficiently exploit the induced
sparsity we develop a reconstruction framework to jointly recover the initial
and the modified sparse source. Reconstruction results with simulated as well
as experimental data are given.
|
[{'version': 'v1', 'created': 'Sat, 30 Dec 2017 11:15:51 GMT'}]
|
2018-08-01
|
[array(['Haltmeier', 'Markus', ''], dtype=object)
array(['Sandbichler', 'Michael', ''], dtype=object)
array(['Berer', 'Thomas', ''], dtype=object)
array(['Bauer-Marschallinger', 'Johannes', ''], dtype=object)
array(['Burgholzer', 'Peter', ''], dtype=object)
array(['Nguyen', 'Linh', ''], dtype=object)]
|
18,056 |
1801.01840
|
Christian Baumgarten
|
C. Baumgarten
|
The Simplest Form of the Lorentz Transformations
|
Substantial rewrite of first draft. 16 pages, 1 figure
| null | null | null |
physics.gen-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report the simplest possible form to compute rotations around arbitrary
axis and boosts in arbitrary directions for 4-vectors (space-time points,
energy-momentum) and bi-vectors (electric and magnetic field vectors) by
symplectic similarity transformations. The Lorentz transformations are based
exclusively on real $4\times 4$-matrices and require neither complex numbers
nor special implementations of abstract entities like quaternions or Clifford
numbers. No raising or lowering of indices is necessary. It is explained how
the Lorentz transformations can be derived from the most simple second order
Hamiltonian of general significance. Since this approach exclusively uses the
real Clifford algebra $Cl(3,1)$, all calculations are based on real $4\times 4$
matrix algebra.
|
[{'version': 'v1', 'created': 'Thu, 21 Dec 2017 15:42:33 GMT'}
{'version': 'v2', 'created': 'Wed, 11 Sep 2019 15:34:03 GMT'}]
|
2019-09-12
|
[array(['Baumgarten', 'C.', ''], dtype=object)]
|
18,057 |
1911.08622
|
Julian Edward
|
Julian Edward, Steve Hudson, and Mark Leckband
|
Regularity of solutions of quasi-linear elliptic equations with $L\log^m
L$ coefficients
| null | null | null | null |
math.AP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Let $D$ be an bounded region in ${\bf R}^n$. The regularity of solutions of a
family of quasilinear elliptic partial differential equations is studied, one
example being $\Delta_nu=Vu^{n-1}$. The coefficients are assumed to be in the
space $L\log^{m}L(D)$ for $m>n-1$. Using a Moser iteration argument coupled
with the Moser-Trudinger inequality, a local $L^{\infty}$ bound on the solution
$u$ is proven. A Harnack-type inequality is then proven. These results are
shown to be sharp with respect to $m$. Then essential continuity of $u$ is
proven, and away from the boundary a bound on the modulus of continuity.
|
[{'version': 'v1', 'created': 'Tue, 19 Nov 2019 22:53:23 GMT'}]
|
2019-11-21
|
[array(['Edward', 'Julian', ''], dtype=object)
array(['Hudson', 'Steve', ''], dtype=object)
array(['Leckband', 'Mark', ''], dtype=object)]
|
18,058 |
1711.10689
|
Anne Schilling
|
John Rhodes, Anne Schilling
|
Unified theory for finite Markov chains
|
29 pages, 12 figures; v2: Section 3.2 added, references added,
revision of introduction, title change; v3: typos fixed and clarifications
added
|
Advances in Mathematics 347 (2019) 739-779
|
10.1016/j.aim.2019.03.004
| null |
math.PR math.CO math.GR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a unified framework to compute the stationary distribution of any
finite irreducible Markov chain or equivalently of any irreducible random walk
on a finite semigroup $S$. Our methods use geometric finite semigroup theory
via the Karnofsky-Rhodes and the McCammond expansions of finite semigroups with
specified generators; this does not involve any linear algebra. The original
Tsetlin library is obtained by applying the expansions to $P(n)$, the set of
all subsets of an $n$ element set. Our set-up generalizes previous
groundbreaking work involving left-regular bands (or $\mathscr{R}$-trivial
bands) by Brown and Diaconis, extensions to $\mathscr{R}$-trivial semigroups by
Ayyer, Steinberg, Thi\'ery and the second author, and important recent work by
Chung and Graham. The Karnofsky-Rhodes expansion of the right Cayley graph of
$S$ in terms of generators yields again a right Cayley graph. The McCammond
expansion provides normal forms for elements in the expanded $S$. Using our
previous results with Silva based on work by Berstel, Perrin, Reutenauer, we
construct (infinite) semaphore codes on which we can define Markov chains.
These semaphore codes can be lumped using geometric semigroup theory. Using
normal forms and associated Kleene expressions, they yield formulas for the
stationary distribution of the finite Markov chain of the expanded $S$ and the
original $S$. Analyzing the normal forms also provides an estimate on the
mixing time.
|
[{'version': 'v1', 'created': 'Wed, 29 Nov 2017 05:53:06 GMT'}
{'version': 'v2', 'created': 'Tue, 9 Jan 2018 20:48:33 GMT'}
{'version': 'v3', 'created': 'Mon, 4 Feb 2019 06:05:04 GMT'}]
|
2019-03-11
|
[array(['Rhodes', 'John', ''], dtype=object)
array(['Schilling', 'Anne', ''], dtype=object)]
|
18,059 |
1901.08437
|
Sohrab Ferdowsi
|
Sohrab Ferdowsi
|
Learning to compress and search visual data in large-scale systems
|
PhD thesis dissertation
| null | null | null |
cs.LG stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of high-dimensional and large-scale representation of visual data
is addressed from an unsupervised learning perspective. The emphasis is put on
discrete representations, where the description length can be measured in bits
and hence the model capacity can be controlled. The algorithmic infrastructure
is developed based on the synthesis and analysis prior models whose
rate-distortion properties, as well as capacity vs. sample complexity
trade-offs are carefully optimized. These models are then extended to
multi-layers, namely the RRQ and the ML-STC frameworks, where the latter is
further evolved as a powerful deep neural network architecture with fast and
sample-efficient training and discrete representations. For the developed
algorithms, three important applications are developed. First, the problem of
large-scale similarity search in retrieval systems is addressed, where a
double-stage solution is proposed leading to faster query times and shorter
database storage. Second, the problem of learned image compression is targeted,
where the proposed models can capture more redundancies from the training
images than the conventional compression codecs. Finally, the proposed
algorithms are used to solve ill-posed inverse problems. In particular, the
problems of image denoising and compressive sensing are addressed with
promising results.
|
[{'version': 'v1', 'created': 'Thu, 24 Jan 2019 14:59:42 GMT'}]
|
2019-01-25
|
[array(['Ferdowsi', 'Sohrab', ''], dtype=object)]
|
18,060 |
2303.17538
|
Micha{\l} Oszmaniec
|
Marcin Kotowski, Micha{\l} Oszmaniec, Micha{\l} Horodecki
|
Extremal jumps of circuit complexity of unitary evolutions generated by
random Hamiltonians
|
36 pages, 3 figures, v2: minor update to references,comments and
suggestions are welcome
| null | null | null |
quant-ph math-ph math.MP math.PR
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate circuit complexity of unitaries generated by time evolution of
randomly chosen strongly interacting Hamiltonians in finite dimensional Hilbert
spaces. Specifically, we focus on two ensembles of random generators -- the so
called Gaussian Unitary Ensemble (GUE) and the ensemble of diagonal Gaussian
matrices conjugated by Haar random unitary transformations. In both scenarios
we prove that the complexity of $\exp(-it H)$ exhibits a surprising behaviour
-- with high probability it reaches the maximal allowed value on the same time
scale as needed to escape the neighborhood of the identity consisting of
unitaries with trivial (zero) complexity. We furthermore observe similar
behaviour for quantum states originating from time evolutions generated by
above ensembles and for diagonal unitaries generated from the ensemble of
diagonal Gaussian Hamiltonians. To establish these results we rely heavily on
structural properties of the above ensembles (such as unitary invariance) and
concentration of measure techniques. This gives us a much finer control over
the time evolution of complexity compared to techniques previously employed in
this context: high-degree moments and frame potentials.
|
[{'version': 'v1', 'created': 'Thu, 30 Mar 2023 17:05:06 GMT'}
{'version': 'v2', 'created': 'Thu, 13 Apr 2023 11:35:57 GMT'}]
|
2023-04-14
|
[array(['Kotowski', 'Marcin', ''], dtype=object)
array(['Oszmaniec', 'Michał', ''], dtype=object)
array(['Horodecki', 'Michał', ''], dtype=object)]
|
18,061 |
0901.3503
|
Charles Francis
|
Charles Francis, Erik Anderson
|
Galactic Spiral Structure
|
Published in Proc Roy Soc A. A high resolution version of this file
can be downloaded from http://papers.rqgravity.net/SpiralStructure.pdf. A
simplified account with animations begins at
http://rqgravity.net/SpiralStructure
|
Proc.Roy.Soc.Lond.A465:3425-3446,2009
|
10.1098/rspa.2009.0036
| null |
physics.gen-ph astro-ph.GA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the structure and composition of six major stellar streams in a
population of 20 574 local stars in the New Hipparcos Reduction with known
radial velocities. We find that, once fast moving stars are excluded, almost
all stars belong to one of these streams. The results of our investigation have
lead us to re-examine the hydrogen maps of the Milky Way, from which we
identify the possibility of a symmetric two-armed spiral with half the
conventionally accepted pitch angle. We describe a model of spiral arm motions
which matches the observed velocities and composition of the six major streams,
as well as the observed velocities of the Hyades and Praesepe clusters at the
extreme of the Hyades stream. We model stellar orbits as perturbed ellipses
aligned at a focus in coordinates rotating at the rate of precession of
apocentre. Stars join a spiral arm just before apocentre, follow the arm for
more than half an orbit, and leave the arm soon after pericentre. Spiral
pattern speed equals the mean rate of precession of apocentre. Spiral arms are
shown to be stable configurations of stellar orbits, up to the formation of a
bar and/or ring. Pitch angle is directly related to the distribution of orbital
eccentricities in a given spiral galaxy. We show how spiral galaxies can evolve
to form bars and rings. We show that orbits of gas clouds are stable only in
bisymmetric spirals. We conclude that spiral galaxies evolve toward grand
design two-armed spirals. We infer from the velocity distributions that the
Milky Way evolved into this form about 9 Gyrs ago.
|
[{'version': 'v1', 'created': 'Thu, 22 Jan 2009 15:53:13 GMT'}
{'version': 'v2', 'created': 'Thu, 21 May 2009 07:41:24 GMT'}
{'version': 'v3', 'created': 'Mon, 31 Aug 2009 07:03:48 GMT'}]
|
2010-01-15
|
[array(['Francis', 'Charles', ''], dtype=object)
array(['Anderson', 'Erik', ''], dtype=object)]
|
18,062 |
2108.13944
|
Pedro Montero
|
Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Monta\~nez, Sergio
Troncoso
|
Projective manifolds whose tangent bundle is Ulrich
|
with an Appendix by Vladimiro Benedetti. 19 pages. Comments are
welcome! v2: minor modifications
| null | null | null |
math.AG
|
http://creativecommons.org/licenses/by/4.0/
|
In this article, we give numerical restrictions on the Chern classes of
Ulrich bundles on higher-dimensional manifolds, which are inspired by the
results of Casnati in the case of surfaces. As a by-product, we prove that the
only projective manifolds whose tangent bundle is Ulrich are the twisted cubic
and the Veronese surface. Moreover, we prove that the cotangent bundle is never
Ulrich.
|
[{'version': 'v1', 'created': 'Tue, 31 Aug 2021 16:04:47 GMT'}
{'version': 'v2', 'created': 'Mon, 22 Nov 2021 14:03:28 GMT'}]
|
2021-11-23
|
[array(['Benedetti', 'Vladimiro', ''], dtype=object)
array(['Montero', 'Pedro', ''], dtype=object)
array(['Montañez', 'Yulieth Prieto', ''], dtype=object)
array(['Troncoso', 'Sergio', ''], dtype=object)]
|
18,063 |
2209.12766
|
Mengli Cheng
|
Mengli Cheng, Yue Gao, Guoqiang Liu, HongSheng Jin, Xiaowen Zhang
|
EasyRec: An easy-to-use, extendable and efficient framework for building
industrial recommendation systems
|
2 pages, 1 figures
| null | null | null |
cs.IR cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present EasyRec, an easy-to-use, extendable and efficient recommendation
framework for building industrial recommendation systems. Our EasyRec framework
is superior in the following aspects: first, EasyRec adopts a modular and
pluggable design pattern to reduce the efforts to build custom models; second,
EasyRec implements hyper-parameter optimization and feature selection
algorithms to improve model performance automatically; third, EasyRec applies
online learning to fast adapt to the ever-changing data distribution. The code
is released: https://github.com/alibaba/EasyRec.
|
[{'version': 'v1', 'created': 'Mon, 26 Sep 2022 15:16:18 GMT'}]
|
2022-09-27
|
[array(['Cheng', 'Mengli', ''], dtype=object)
array(['Gao', 'Yue', ''], dtype=object)
array(['Liu', 'Guoqiang', ''], dtype=object)
array(['Jin', 'HongSheng', ''], dtype=object)
array(['Zhang', 'Xiaowen', ''], dtype=object)]
|
18,064 |
1505.03342
|
Drew Fudenberg
|
Drew Fudenberg, Philipp Strack, and Tomasz Strzalecki
|
Stochastic Choice and Optimal Sequential Sampling
| null | null | null | null |
q-bio.NC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We model the joint distribution of choice probabilities and decision times in
binary choice tasks as the solution to a problem of optimal sequential
sampling, where the agent is uncertain of the utility of each action and pays a
constant cost per unit time for gathering information. In the resulting optimal
policy, the agent's choices are more likely to be correct when the agent
chooses to decide quickly, provided that the agent's prior beliefs are correct.
For this reason it better matches the observed correlation between decision
time and choice probability than does the classical drift-diffusion model,
where the agent is uncertain which of two actions is best but knows the utility
difference between them
|
[{'version': 'v1', 'created': 'Wed, 13 May 2015 11:54:11 GMT'}]
|
2015-05-14
|
[array(['Fudenberg', 'Drew', ''], dtype=object)
array(['Strack', 'Philipp', ''], dtype=object)
array(['Strzalecki', 'Tomasz', ''], dtype=object)]
|
18,065 |
hep-ph/9905413
|
Catherine Bourge
|
G. Borisov, F. Richard (LAL-Orsay)
|
Precise measurement of Higgs decay rate into WW* at future e^+e^- Linear
Colliders
|
12 pages
| null | null |
LAL 99-26
|
hep-ph
| null |
Assuming a SM or MSSM scenario, one expects a light Higgs boson which could
be studied in great detail with a LC operating at \sqrt s>m_h+m_Z. In the TESLA
scenario, with 500 fb^-1 accumulated at \sqrt s = 350 GeV, about 10^5 hZ events
could be produced through the Higgstrahlung process. At a future LC with a \sim
1 cm beam-pipe radius and a thin Si detector there will be excellent separation
between the various flavours. With the high statistics available it will thus
become possible to measure the various branching ratios with a few % error.
Typically one expects 8 % precision on BR(h\to\bar cc), 6 % on BR(h\to gg) and
\sim 1 % on \sigma(hZ) x BR(h\to\bar bb) access to BR(h\to WW^*) and, as
explained in section 3, this measurement can give access to the Higgs total
decay width and therefore to all partial widths. In particular one can
precisely measure \Gamma(h\to\bar bb) and \Gamma(h\to\tau^+\tau^-) which have a
high sensitivity to MSSM effects\cite{gunion} and therefore allow an essential
test of the Higgs sector. If m_A < 1 TeV, it becomes possible to measure a
significant deviation and, within MSSM, to give an indirect estimate of m_A
thus extending the effective sensitivity above the discovery domain of LHC. In
the following section we describe a detailed analysis on the measurement of
BR(h\to WW^*).
|
[{'version': 'v1', 'created': 'Thu, 20 May 1999 08:51:06 GMT'}]
|
2007-05-23
|
[array(['Borisov', 'G.', '', 'LAL-Orsay'], dtype=object)
array(['Richard', 'F.', '', 'LAL-Orsay'], dtype=object)]
|
18,066 |
1408.4499
|
Li-An Wang
|
David Cruz-Uribe, Li-An Daniel Wang
|
Extrapolation and weighted norm inequalities in the variable Lebesgue
spaces
|
34 pages
| null | null | null |
math.CA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the theory of Rubio de Francia extrapolation, including
off-diagonal, limited range, and $A_{\infty}$ extrapolation, to the weighted
variable Lebesgue spaces. As a consequence we are able to show that a number of
different operators from harmonic analysis are bounded on these spaces. The
proofs of our extrapolation results are developed in a way that outlines a
general approach to proving extrapolation theorems on other Banach function
spaces.
|
[{'version': 'v1', 'created': 'Tue, 19 Aug 2014 23:24:06 GMT'}]
|
2014-08-21
|
[array(['Cruz-Uribe', 'David', ''], dtype=object)
array(['Wang', 'Li-An Daniel', ''], dtype=object)]
|
18,067 |
2106.13359
|
Christopher Paciorek
|
Joshua E. Hug and Christopher J. Paciorek
|
A numerically stable online implementation and exploration of WAIC
through variations of the predictive density, using NIMBLE
|
27 pages, 9 tables. This is a preprint of the MA in Statistics thesis
of Joshua Hug at the University of California, Berkeley, submitted May 2021
| null | null | null |
stat.CO
|
http://creativecommons.org/licenses/by/4.0/
|
We go through the process of crafting a robust and numerically stable online
algorithm for the computation of the Watanabe-Akaike information criteria
(WAIC). We implement this algorithm in the NIMBLE software. The implementation
is performed in an online manner and does not require the storage in memory of
the complete samples from the posterior distribution. This algorithm allows the
user to specify a specific form of the predictive density to be used in the
computation of WAIC, in order to cater to specific prediction goals. We then
comment and explore via simulations the use of different forms of the
predictive density in the context of different predictive goals. We find that
when using marginalized predictive densities, WAIC is sensitive to the grouping
of the observations into a joint density.
|
[{'version': 'v1', 'created': 'Fri, 25 Jun 2021 00:07:04 GMT'}]
|
2021-06-28
|
[array(['Hug', 'Joshua E.', ''], dtype=object)
array(['Paciorek', 'Christopher J.', ''], dtype=object)]
|
18,068 |
1706.02779
|
Lawrence Sromovsky
|
L.A. Sromovsky, K.H. Baines, P.M. Fry, R.W. Carlson
|
A possibly universal red chromophore for modeling color variations on
Jupiter
|
13 pages, 12 figures
|
Icarus 291 (2017) 232-244
|
10.1016/j.icarus.2016.12.014
| null |
astro-ph.EP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new laboratory-generated chemical compound made from photodissociated
ammonia (NH3) molecules reacting with acetylene (C2H2) was suggested as a
possible coloring agent for Jupiter's Great Red Spot (GRS) by Carlson et al.
(2016, Icarus 274, 106-115). Baines et al. (2016, Icarus, submitted) showed
that the GRS spectrum measured by the visual channels of the Cassini VIMS
instrument in 2000 could be accurately fit by a cloud model in which the
chromophore appeared as a physically thin layer of small particles immediately
above the main cloud layer of the GRS. Here we show that the same chromophore
and same layer location can also provide close matches to the short wave
spectra of many other cloud features on Jupiter, suggesting this material may
be a nearly universal chromophore that could explain the various degrees of red
coloration on Jupiter. This is a robust conclusion, even for 12% changes in
VIMS calibration and large uncertainties in the refractive index of the main
cloud layer due to uncertain fractions of NH4SH and NH3 in its cloud particles.
The chromophore layer can account for color variations among north and south
equatorial belts, equatorial zone, and the Great Red Spot, by varying particle
size from 0.12 microns to 0.29 microns and 1-micron optical depth from 0.06 to
0.76. The total mass of the chromophore layer is much less variable, ranging
from 18 to 30 micrograms/cm^2, except in the equatorial zone, where it is only
10-13 micrograms/cm^2. We also found a depression of the ammonia volume mixing
ratio in the two belt regions, which averaged 0.4-0.5 X 10^{-4} immediately
below the ammonia condensation level, while the other regions averaged twice
that value.
|
[{'version': 'v1', 'created': 'Thu, 8 Jun 2017 21:46:42 GMT'}]
|
2017-06-12
|
[array(['Sromovsky', 'L. A.', ''], dtype=object)
array(['Baines', 'K. H.', ''], dtype=object)
array(['Fry', 'P. M.', ''], dtype=object)
array(['Carlson', 'R. W.', ''], dtype=object)]
|
18,069 |
1105.4748
|
Makedonskyi Ievgen
|
Ievgen Makedonskyi
|
On noncommutative bases of the free module $W_n(\mathbb K)$
| null | null | null | null |
math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Let $\mathbb{K}$ be an algebraically closed field of characteristic zero and
$R=\mathbb{K}[x_1,x_2,...x_n]$ the polynomial ring in $n$ variables over
$\mathbb K.$ We study bases of the free $R$-module $W_n(\mathbb{K})$ of all
$\mathbb{K}$-derivations of the ring $R$, such that their linear span over
$\mathbb K$ is a subalgebra of the Lie algebra $W_n(\mathbb{K})$. We proved
that for any Lie algebra $L$ of dimension $n$ over $\mathbb{K}$ there exists a
subalgebra $\bar{L}$ of $W_n(\mathbb{K})$ which is isomorphic to $L$ and such
that every $\mathbb{K}$-basis of $\bar L$ is an $R$-basis of the $R$-module
$W_n(\mathbb{K})$.
|
[{'version': 'v1', 'created': 'Tue, 24 May 2011 12:31:52 GMT'}]
|
2011-05-25
|
[array(['Makedonskyi', 'Ievgen', ''], dtype=object)]
|
18,070 |
2303.00032
|
Mohammed S. Al-Abiad
|
Mohammed S. Al-Abiad, Md. Zoheb Hassan, and Md. Jahangir Hossain
|
Decentralized Model Dissemination Empowered Federated Learning in mmWave
Aerial-Terrestrial Integrated Networks
|
12 figures, 14 pages
| null | null | null |
cs.IT math.IT
|
http://creativecommons.org/licenses/by/4.0/
|
It is anticipated that aerial-terrestrial integrated networks incorporating
unmanned aerial vehicles (UAVs) mounted relays will offer improved coverage and
connectivity in the beyond 5G era. Meanwhile, federated learning (FL) is a
promising distributed machine learning technique for building inference models
over wireless networks due to its ability to maintain user privacy and reduce
communication overhead. However, off-the-shelf FL models aggregate global
parameters at a central parameter server (CPS), increasing energy consumption
and latency, as well as inefficiently utilizing radio resource blocks (RRBs)
for distributed user devices (UDs). This paper presents a resource-efficient FL
framework, called FedMoD (\textbf{fed}erated learning with \textbf{mo}del
\textbf{d}issemination), for millimeter-wave (mmWave) aerial-terrestrial
integrated networks with the following two unique characteristics. Firstly,
FedMoD presents a novel decentralized model dissemination algorithm that makes
use of UAVs as local model aggregators through UAV-to-UAV and device-to-device
(D2D) communications. As a result, FedMoD (i) increases the number of
participant UDs in developing FL model and (ii) achieves global model
aggregation without involving CPS. Secondly, FedMoD reduces the energy
consumption of FL using radio resource management (RRM) under the constraints
of over-the-air learning latency. In order to achieve this, by leveraging graph
theory, FedMoD optimizes the scheduling of line-of-sight (LOS) UDs to suitable
UAVs/RRBs over mmWave links and non-LOS UDs to available LOS UDs via overlay
D2D communications. Extensive simulations reveal that decentralized FedMoD
offers same convergence rate performance as compared to conventional FL
frameworks.
|
[{'version': 'v1', 'created': 'Tue, 28 Feb 2023 19:15:19 GMT'}]
|
2023-03-02
|
[array(['Al-Abiad', 'Mohammed S.', ''], dtype=object)
array(['Hassan', 'Md. Zoheb', ''], dtype=object)
array(['Hossain', 'Md. Jahangir', ''], dtype=object)]
|
18,071 |
2001.03620
|
Andrea Caputo
|
Andrea Caputo, Laura Sberna, Alexandre Toubiana, Stanislav Babak,
Enrico Barausse, Sylvain Marsat, Paolo Pani
|
Gravitational-wave detection and parameter estimation for accreting
black-hole binaries and their electromagnetic counterpart
|
14 pages, 8 figures; v2: references and comments added to match the
final version published in ApJ
|
The Astrophysical Journal, Volume 892, Number 2, 2020
|
10.3847/1538-4357/ab7b66
| null |
astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the impact of gas accretion on the orbital evolution of black-hole
binaries initially at large separation in the band of the planned Laser
Interferometer Space Antenna (LISA). We focus on two sources:
(i)~stellar-origin black-hole binaries~(SOBHBs) that can migrate from the LISA
band to the band of ground-based gravitational-wave observatories within
weeks/months; and (ii) intermediate-mass black-hole binaries~(IMBHBs) in the
LISA band only. Because of the large number of observable gravitational-wave
cycles, the phase evolution of these systems needs to be modeled to great
accuracy to avoid biasing the estimation of the source parameters. Accretion
affects the gravitational-wave phase at negative ($-4$) post-Newtonian order,
and is therefore dominant for binaries at large separations. If accretion takes
place at the Eddington or at super-Eddington rate, it will leave a detectable
imprint on the dynamics of SOBHBs. In optimistic astrophysical scenarios, a
multiwavelength strategy with LISA and a ground-based interferometer can detect
about $10$ (a few) SOBHB events for which the accretion rate can be measured at
$50\%$ ($10\%$) level. In all cases the sky position can be identified within
much less than $0.4\,{\rm deg}^2$ uncertainty. Likewise, accretion at $\gtrsim
10\%$ ($\gtrsim 100\%$) of the Eddington rate can be measured in IMBHBs up to
redshift $z\approx 0.1$ ($z\approx 0.5$), and the position of these sources can
be identified within less than $0.01\,{\rm deg}^2$ uncertainty. Altogether, a
detection of SOBHBs or IMBHBs would allow for targeted searches of
electromagnetic counterparts to black-hole mergers in gas-rich environments
with future X-ray detectors (such as Athena) and radio observatories (such as
SKA).
|
[{'version': 'v1', 'created': 'Fri, 10 Jan 2020 19:00:01 GMT'}
{'version': 'v2', 'created': 'Wed, 4 Mar 2020 09:13:28 GMT'}
{'version': 'v3', 'created': 'Fri, 12 Jun 2020 14:23:50 GMT'}]
|
2020-06-15
|
[array(['Caputo', 'Andrea', ''], dtype=object)
array(['Sberna', 'Laura', ''], dtype=object)
array(['Toubiana', 'Alexandre', ''], dtype=object)
array(['Babak', 'Stanislav', ''], dtype=object)
array(['Barausse', 'Enrico', ''], dtype=object)
array(['Marsat', 'Sylvain', ''], dtype=object)
array(['Pani', 'Paolo', ''], dtype=object)]
|
18,072 |
1909.10960
|
Tino Werner
|
Tino Werner, Peter Ruckdeschel
|
The column measure and Gradient-Free Gradient Boosting
| null | null | null | null |
math.ST stat.ML stat.TH
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sparse model selection by structural risk minimization leads to a set of a
few predictors, ideally a subset of the true predictors. This selection clearly
depends on the underlying loss function $\tilde L$. For linear regression with
square loss, the particular (functional) Gradient Boosting variant
$L_2-$Boosting excels for its computational efficiency even for very large
predictor sets, while still providing suitable estimation consistency. For more
general loss functions, functional gradients are not always easily accessible
or, like in the case of continuous ranking, need not even exist. To close this
gap, starting from column selection frequencies obtained from $L_2-$Boosting,
we introduce a loss-dependent ''column measure'' $\nu^{(\tilde L)}$ which
mathematically describes variable selection. The fact that certain variables
relevant for a particular loss $\tilde L$ never get selected by $L_2-$Boosting
is reflected by a respective singular part of $\nu^{(\tilde L)}$ w.r.t.
$\nu^{(L_2)}$. With this concept at hand, it amounts to a suitable change of
measure (accounting for singular parts) to make $L_2-$Boosting select variables
according to a different loss $\tilde L$. As a consequence, this opens the
bridge to applications of simulational techniques such as various resampling
techniques, or rejection sampling, to achieve this change of measure in an
algorithmic way.
|
[{'version': 'v1', 'created': 'Tue, 24 Sep 2019 14:42:45 GMT'}]
|
2019-09-25
|
[array(['Werner', 'Tino', ''], dtype=object)
array(['Ruckdeschel', 'Peter', ''], dtype=object)]
|
18,073 |
2006.12779
|
Francesco Cicala
|
Francesco Cicala, Luca Bortolussi
|
Density-embedding layers: a general framework for adaptive receptive
fields
|
13 pages, 2 figures, submitted to NeurIPS 2020
| null | null | null |
cs.LG stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effectiveness and performance of artificial neural networks, particularly
for visual tasks, depends in crucial ways on the receptive field of neurons.
The receptive field itself depends on the interplay between several
architectural aspects, including sparsity, pooling, and activation functions.
In recent literature there are several ad hoc proposals trying to make
receptive fields more flexible and adaptive to data. For instance, different
parameterizations of convolutional and pooling layers have been proposed to
increase their adaptivity. In this paper, we propose the novel theoretical
framework of density-embedded layers, generalizing the transformation
represented by a neuron. Specifically, the affine transformation applied on the
input is replaced by a scalar product of the input, suitably represented as a
piecewise constant function, with a density function associated with the
neuron. This density is shown to describe directly the receptive field of the
neuron. Crucially, by suitably representing such a density as a linear
combination of a parametric family of functions, we can efficiently train the
densities by means of any automatic differentiation system, making it adaptable
to the problem at hand, and computationally efficient to evaluate. This
framework captures and generalizes recent methods, allowing a fine tuning of
the receptive field. In the paper, we define some novel layers and we
experimentally validate them on the classic MNIST dataset.
|
[{'version': 'v1', 'created': 'Tue, 23 Jun 2020 06:09:16 GMT'}
{'version': 'v2', 'created': 'Mon, 6 Jul 2020 07:36:24 GMT'}]
|
2020-07-07
|
[array(['Cicala', 'Francesco', ''], dtype=object)
array(['Bortolussi', 'Luca', ''], dtype=object)]
|
18,074 |
1201.2668
|
Rim Dib
|
Rim Dib, Victoria M. Kaspi, Paul Scholz, Fotis P. Gavriil
|
RXTE Observations of Anomalous X-ray Pulsar 1E 1547.0-5408 During and
After its 2008 and 2009 Outbursts
|
30 pages, 8 figures, 4 tables, accepted by ApJ
| null |
10.1088/0004-637X/748/1/3
| null |
astro-ph.SR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the results of Rossi X-ray Timing Explorer (RXTE) and Swift
monitoring observations of the magnetar 1E 1547.0-5408 following the pulsar's
radiative outbursts in 2008 October and 2009 January. We report on a study of
the evolution of the timing properties and the pulsed flux from 2008 October 4
through 2009 December 26. We show that the pulsed flux decrease which followed
an initial rise in the 2008 outburst was interrupted by a spike ~9 days after
the initial outburst. In our timing study, a phase-coherent analysis shows that
for the first 29 days following the 2008 outburst, there was a very fast
increase in the magnitude of the rotational frequency derivative nudot, such
that the second derivative was a factor of ~60 larger than that reported in
data from 2007. This nudot magnitude increase occurred in concert with the
decay of the pulsed flux following the start of the 2008 event. Following the
2009 outburst, for the first 23 days, the second derivative was consistent with
zero, and nudot had returned to close to its 2007 value. In contrast to the
2008 event, the 2009 outburst showed a major increase in persistent flux,
relatively little change in the pulsed flux, and sudden significant spectral
hardening ~15 days after the outburst. We show that, excluding the month
following each of the outbursts, and because of the noise and the sparsity in
the data, multiple plausible timing solutions fit the pulsar's frequency
behavior. We note similarities in the behavior of 1E 1547.0-5408 following the
2008 outburst to that seen in the AXP 1E 1048.1-5937 following its 2001-2002
outburst and discuss this in terms of the magnetar model.
|
[{'version': 'v1', 'created': 'Thu, 12 Jan 2012 20:46:27 GMT'}]
|
2015-06-03
|
[array(['Dib', 'Rim', ''], dtype=object)
array(['Kaspi', 'Victoria M.', ''], dtype=object)
array(['Scholz', 'Paul', ''], dtype=object)
array(['Gavriil', 'Fotis P.', ''], dtype=object)]
|
18,075 |
0904.0379
|
Frederik Scholtz
|
Sunandan Gangopadhyay and Frederik G Scholtz
|
Path integral action of a particle in the non commutative plane
| null | null |
10.1103/PhysRevLett.102.241602
|
NITheP-09-08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non commutative quantum mechanics can be viewed as a quantum system
represented in the space of Hilbert-Schmidt operators acting on non commutative
configuration space. Taking this as departure point, we formulate a coherent
state approach to the path integral representation of the transition amplitude.
From this we derive an action for a particle moving in the non commutative
plane and in the presence of an arbitrary potential. We find that this action
is non local in time. However, this non locality can be removed by introducing
an auxilary field, which leads to a second class constrained system that yields
the non commutative Heisenberg algebra upon quantization. Using this action the
propagator of the free particle and harmonic oscillator are computed
explicitly. For the harmonic oscillator this action yields the frequencies
already obtained by other means in the literature.
|
[{'version': 'v1', 'created': 'Thu, 2 Apr 2009 12:57:22 GMT'}]
|
2015-05-13
|
[array(['Gangopadhyay', 'Sunandan', ''], dtype=object)
array(['Scholtz', 'Frederik G', ''], dtype=object)]
|
18,076 |
2202.09298
|
Evangelos Kafantaris
|
Evangelos Kafantaris, Tsz-Yan Milly Lo, Javier Escudero
|
Stratified Multivariate Multiscale Dispersion Entropy for Physiological
Signal Analysis
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Multivariate entropy quantification algorithms are becoming a prominent tool
for the extraction of information from multi-channel physiological time-series.
However, in the analysis of physiological signals from heterogeneous organ
systems, certain channels may overshadow the patterns of others, resulting in
information loss. Here, we introduce the framework of Stratified Entropy to
prioritize each channels' dynamics based on their allocation to respective
strata, leading to a richer description of the multi-channel time-series. As an
implementation of the framework, three algorithmic variations of the Stratified
Multivariate Multiscale Dispersion Entropy are introduced. These variations and
the original algorithm are applied to synthetic time-series, waveform
physiological time-series, and derivative physiological data. Based on the
synthetic time-series experiments, the variations successfully prioritize
channels following their strata allocation while maintaining the low
computation time of the original algorithm. In experiments on waveform
physiological time-series and derivative physiological data, increased
discrimination capacity was noted for multiple strata allocations in the
variations when benchmarked to the original algorithm. This suggests improved
physiological state monitoring by the variations. Furthermore, our variations
can be modified to utilize a priori knowledge for the stratification of
channels. Thus, our research provides a novel approach for the extraction of
previously inaccessible information from multi-channel time series acquired
from heterogeneous systems.
|
[{'version': 'v1', 'created': 'Fri, 18 Feb 2022 17:00:17 GMT'}
{'version': 'v2', 'created': 'Tue, 28 Jun 2022 14:25:04 GMT'}
{'version': 'v3', 'created': 'Tue, 17 Jan 2023 17:46:40 GMT'}]
|
2023-01-18
|
[array(['Kafantaris', 'Evangelos', ''], dtype=object)
array(['Lo', 'Tsz-Yan Milly', ''], dtype=object)
array(['Escudero', 'Javier', ''], dtype=object)]
|
18,077 |
1710.02676
|
Katarina Kraljic
|
K. Kraljic, S. Arnouts, C. Pichon, C. Laigle, S. de la Torre, D.
Vibert, C. Cadiou, Y. Dubois, M. Treyer, C. Schimd, S. Codis, V. de
Lapparent, J. Devriendt, H.S. Hwang, D. Le Borgne, N. Malavasi, B. Milliard,
M. Musso, D. Pogosyan, M. Alpaslan, J. Bland-Hawthorn, A. H. Wright
|
Galaxy evolution in the metric of the Cosmic Web
|
26 pages, 18 figures, 7 tables, accepted for publication in MNRAS
|
MNRAS 474 (2018) 1, 547-571
|
10.1093/mnras/stx2638
| null |
astro-ph.GA astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The role of the cosmic web in shaping galaxy properties is investigated in
the GAMA spectroscopic survey in the redshift range $0.03 \leq z \leq 0.25$.
The stellar mass, $u - r$ dust corrected colour and specific star formation
rate (sSFR) of galaxies are analysed as a function of their distances to the 3D
cosmic web features, such as nodes, filaments and walls, as reconstructed by
DisPerSE. Significant mass and type/colour gradients are found for the whole
population, with more massive and/or passive galaxies being located closer to
the filament and wall than their less massive and/or star-forming counterparts.
Mass segregation persists among the star-forming population alone. The red
fraction of galaxies increases when closing in on nodes, and on filaments
regardless of the distance to nodes. Similarly, the star-forming population
reddens (or lowers its sSFR) at fixed mass when closing in on filament,
implying that some quenching takes place. Comparable trends are also found in
the state-of-the-art hydrodynamical simulation Horizon-AGN. These results
suggest that on top of stellar mass and large-scale density, the traceless
component of the tides from the anisotropic large-scale environment also shapes
galactic properties. An extension of excursion theory accounting for
filamentary tides provides a qualitative explanation in terms of anisotropic
assembly bias: at a given mass, the accretion rate varies with the orientation
and distance to filaments. It also explains the absence of type/colour
gradients in the data on smaller, non-linear scales.
|
[{'version': 'v1', 'created': 'Sat, 7 Oct 2017 11:51:23 GMT'}]
|
2021-10-28
|
[array(['Kraljic', 'K.', ''], dtype=object)
array(['Arnouts', 'S.', ''], dtype=object)
array(['Pichon', 'C.', ''], dtype=object)
array(['Laigle', 'C.', ''], dtype=object)
array(['de la Torre', 'S.', ''], dtype=object)
array(['Vibert', 'D.', ''], dtype=object)
array(['Cadiou', 'C.', ''], dtype=object)
array(['Dubois', 'Y.', ''], dtype=object)
array(['Treyer', 'M.', ''], dtype=object)
array(['Schimd', 'C.', ''], dtype=object)
array(['Codis', 'S.', ''], dtype=object)
array(['de Lapparent', 'V.', ''], dtype=object)
array(['Devriendt', 'J.', ''], dtype=object)
array(['Hwang', 'H. S.', ''], dtype=object)
array(['Borgne', 'D. Le', ''], dtype=object)
array(['Malavasi', 'N.', ''], dtype=object)
array(['Milliard', 'B.', ''], dtype=object)
array(['Musso', 'M.', ''], dtype=object)
array(['Pogosyan', 'D.', ''], dtype=object)
array(['Alpaslan', 'M.', ''], dtype=object)
array(['Bland-Hawthorn', 'J.', ''], dtype=object)
array(['Wright', 'A. H.', ''], dtype=object)]
|
18,078 |
1711.01698
|
James Fletcher
|
James Fletcher
|
Higher-rank graph algebras are iterated Cuntz-Pimsner algebras
|
38 pages, corrected an error in the proof of Lemma 4.13, added
Section 5 (Relationships to other constructions), added Appendix A
| null | null | null |
math.OA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given a finitely aligned $k$-graph $\Lambda$, we let $\Lambda^i$ denote the
$(k-1)$-graph formed by removing all edges of degree $e_i$ from $\Lambda$. We
show that the Toeplitz-Cuntz-Krieger algebra of $\Lambda$, denoted by
$\mathcal{T}C^*(\Lambda)$, may be realised as the Toeplitz algebra of a Hilbert
$\mathcal{T}C^*(\Lambda^i)$-bimodule. When $\Lambda$ is locally-convex, we show
that the Cuntz-Krieger algebra of $\Lambda$, which we denote by $C^*(\Lambda)$,
may be realised as the Cuntz-Pimsner algebra of a Hilbert
$C^*(\Lambda^i)$-bimodule. Consequently, $\mathcal{T}C^*(\Lambda)$ and
$C^*(\Lambda)$ may be viewed as iterated Toeplitz and iterated Cuntz-Pimsner
algebras over $c_0(\Lambda^0)$ respectively.
|
[{'version': 'v1', 'created': 'Mon, 6 Nov 2017 02:14:52 GMT'}
{'version': 'v2', 'created': 'Fri, 31 Aug 2018 01:35:22 GMT'}]
|
2018-09-03
|
[array(['Fletcher', 'James', ''], dtype=object)]
|
18,079 |
1501.05549
|
Jordan Horowitz
|
Jordan M. Horowitz
|
Multipartite information flow for multiple Maxwell demons
|
13 pages, 3 figures
|
J. Stat. Mech: Theor. Exp. (2015) P03006
|
10.1088/1742-5468/2015/03/P03006
| null |
cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The second law of thermodynamics dictates the fundamental limits to the
amount of energy and information that can be exchanged between physical
systems. In this work, we extend a thermodynamic formalism describing this flow
of energy and information developed for a pair of bipartite systems to many
multipartite systems. We identify a natural thermodynamic quantity that
describes the information exchanged among these systems. We then introduce and
discuss a refined version. Our results are illustrated with a model of two,
competing Maxwell demons.
|
[{'version': 'v1', 'created': 'Thu, 22 Jan 2015 16:08:49 GMT'}]
|
2015-03-24
|
[array(['Horowitz', 'Jordan M.', ''], dtype=object)]
|
18,080 |
math/0611853
|
Anvarbek Meirmanov M
|
Anvarbek Meirmanov
|
Darcy's law for a compressible thermofluid
| null | null | null | null |
math.AP
| null |
A linear system of differential equations describing a joint motion of a
thermoelastic porous body with a sufficiently large Lame's constants
(absolutelty rigid body) and a thermofluid, occupying porous space, is
considered. The rigorous justification, under various conditions imposed on
physical parameters, is fulfilled for homogenization procedures as the
dimensionless size of the pores tends to zero, while the porous body is
geometrically periodic. As the results we derive Darcy's system of filtration
for thermofluid, depending on ratios between physical parameters. The proofs
are based on Nguetseng's two-scale convergence method of homogenization in
periodic structures.
|
[{'version': 'v1', 'created': 'Tue, 28 Nov 2006 08:31:09 GMT'}]
|
2007-05-23
|
[array(['Meirmanov', 'Anvarbek', ''], dtype=object)]
|
18,081 |
2009.02826
|
Yihui Liang
|
Giulio Caviglia and Yihui Liang
|
Explicit Stillman bounds for all degrees
|
A critical mistake was made at the end of section 4. We misinterpret
the proof of Ananyan and Hochster's paper, the final bound grows even faster
than a power tower thus would be meaningless to state
| null | null | null |
math.AC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In 2016 Ananyan and Hochster proved Stillman's conjecture by showing the
existence of a uniform upper bound for the projective dimension of all
homogeneous ideals, in polynomial rings over a field, generated by n forms of
degree at most d. Explicit values of the bounds for forms of degrees 5 and
higher are not yet known. The main result of this article is the construction
of explicit such bounds, for all degrees d, which behave like power towers of
height d^3/6+11d/6-4. This is done by establishing a bound D(k,d), which
controls the number of generators of a minimal prime over an ideal of a regular
sequence of k or fewer forms of degree d, and supplementing it into Ananyan and
Hochster's proof in order to obtain a recurrence relation.
|
[{'version': 'v1', 'created': 'Sun, 6 Sep 2020 22:18:21 GMT'}
{'version': 'v2', 'created': 'Tue, 23 Nov 2021 23:30:48 GMT'}
{'version': 'v3', 'created': 'Mon, 18 Apr 2022 20:40:05 GMT'}]
|
2022-04-20
|
[array(['Caviglia', 'Giulio', ''], dtype=object)
array(['Liang', 'Yihui', ''], dtype=object)]
|
18,082 |
math/0001014
|
Xiaonan Ma
|
Kefeng Liu, Xiaonan Ma, Weiping Zhang
|
Rigidity and Vanishing Theorems in K-Theory II
|
31 pages
| null | null | null |
math.KT math.AT math.DG
| null |
We extend our family rigidity and vanishing theorems in [{\bf LiuMaZ}] to the
Spin^c case. In particular, we prove a K-theory version of the main results of
[{\bf H}], [{\bf Liu1}, Theorem B] for a family of almost complex manifolds.
|
[{'version': 'v1', 'created': 'Tue, 4 Jan 2000 13:59:04 GMT'}]
|
2007-05-23
|
[array(['Liu', 'Kefeng', ''], dtype=object)
array(['Ma', 'Xiaonan', ''], dtype=object)
array(['Zhang', 'Weiping', ''], dtype=object)]
|
18,083 |
1509.02294
|
Luminita Mihaila
|
Luminita Mihaila, Barbara Schmidt and Matthias Steinhauser
|
$Gamma(H\to b\bar{b})$ to order $\alpha\alpha_s$
|
16 pages, 2 figures and 7 tables
| null |
10.1016/j.physletb.2015.10.078
|
TTP15-029
|
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the decay rate of the Standard Model Higgs boson to bottom quarks
to order $\alpha\alpha_s$. We apply the optical theorem and calculate the
imaginary part of three-loop corrections to the Higgs boson propagator using
asymptotic expansions in appropriately chosen mass ratios. The corrections of
order $\alpha\alpha_s$ are of the same order of magnitude as the ${\cal
O}(\alpha_s^3)$ QCD corrections but have the opposite sign.
|
[{'version': 'v1', 'created': 'Tue, 8 Sep 2015 09:27:05 GMT'}]
|
2015-11-11
|
[array(['Mihaila', 'Luminita', ''], dtype=object)
array(['Schmidt', 'Barbara', ''], dtype=object)
array(['Steinhauser', 'Matthias', ''], dtype=object)]
|
18,084 |
1611.09436
|
Phung Manh Duong
|
T. T. Hoang, D. T. Hiep, P. M. Duong, N. T. T. Van, B. G. Duong, T. Q.
Vinh
|
Proposal of algorithms for navigation and obstacles avoidance of
autonomous mobile robot
|
In 2013 8th IEEE Conference on Industrial Electronics and
Applications (ICIEA)
| null |
10.1109/ICIEA.2013.6566569
| null |
cs.RO cs.SY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents algorithms to navigate and avoid obstacles for an in-door
autonomous mobile robot. A laser range finder is used to obtain 3D images of
the environment. A new algorithm, namely 3D-to-2D image pressure and barriers
detection (IPaBD), is proposed to create a 2D global map from the 3D images.
This map is basic to design the trajectory. A tracking controller is developed
to control the robot to follow the trajectory. The obstacle avoidance is
addressed with the use of sonar sensors. An improved vector field histogram
(Improved-VFH) algorithm is presented with improvements to overcome some
limitations of the original VFH. Experiments have been conducted and the result
is encouraged.
|
[{'version': 'v1', 'created': 'Mon, 28 Nov 2016 23:52:01 GMT'}]
|
2016-11-30
|
[array(['Hoang', 'T. T.', ''], dtype=object)
array(['Hiep', 'D. T.', ''], dtype=object)
array(['Duong', 'P. M.', ''], dtype=object)
array(['Van', 'N. T. T.', ''], dtype=object)
array(['Duong', 'B. G.', ''], dtype=object)
array(['Vinh', 'T. Q.', ''], dtype=object)]
|
18,085 |
1606.08457
|
Gerard Clement
|
G\'erard Cl\'ement and Mourad Guenouche
|
Motion of charged particles in a NUTty Einstein-Maxwell spacetime and
causality violation
|
16 pages, title changed, version to be published in Gen. Rel. Grav
|
Gen. Relat. Grav. 50 (2018) 60
| null |
LAPTH-030/16
|
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the motion of electrically charged test particles in
spacetimes with closed timelike curves, a subset of the black hole or wormhole
Reissner-Nordstr\"om-NUT spacetimes without periodic identification of time. We
show that, while in the wormhole case there are closed worldlines inside a
potential well, the wordlines of initially distant charged observers moving
under the action of the Lorentz force can never close or self-intersect. This
means that for these observers causality is preserved, which is an instance of
our weak chronology protection criterion.
|
[{'version': 'v1', 'created': 'Mon, 27 Jun 2016 20:03:49 GMT'}
{'version': 'v2', 'created': 'Fri, 11 May 2018 15:58:52 GMT'}]
|
2021-03-01
|
[array(['Clément', 'Gérard', ''], dtype=object)
array(['Guenouche', 'Mourad', ''], dtype=object)]
|
18,086 |
2204.12009
|
Jeremy Marzuola
|
Thomas Beck and Marichi Gupta and Jeremy L. Marzuola
|
Nodal Set Openings on Perturbed Rectangular Domains
|
27 pages, 5 figures, comments welcome!
| null | null | null |
math.AP math.SP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effects of perturbing the boundary of a rectangle on the nodal
sets of eigenfunctions of the Laplacian. Namely, for a rectangle of a given
aspect ratio $N$, we identify the first Dirichlet mode to feature a crossing in
its nodal set and perturb one of the sides of the rectangle by a close to flat,
smooth curve. Such perturbations will often "open" the crossing in the nodal
set, splitting it into two curves, and we study the separation between these
curves and their regularity. The main technique used is an approximate
separation of variables that allows us to restrict study to the first two
Fourier modes in an eigenfunction expansion. We show how the nature of the
boundary perturbation provides conditions on the orientation of the opening and
estimates on its size. In particular, several features of the perturbed nodal
set are asymptotically independent of the aspect ratio, which contrasts with
prior works. Numerical results supporting our findings are also presented.
|
[{'version': 'v1', 'created': 'Tue, 26 Apr 2022 00:34:13 GMT'}]
|
2022-04-27
|
[array(['Beck', 'Thomas', ''], dtype=object)
array(['Gupta', 'Marichi', ''], dtype=object)
array(['Marzuola', 'Jeremy L.', ''], dtype=object)]
|
18,087 |
2207.12427
|
Andreas Nunnenkamp
|
Matteo Brunelli, Clara C. Wanjura, Andreas Nunnenkamp
|
Restoration of the non-Hermitian bulk-boundary correspondence via
topological amplification
|
21 pages, 10 figures
| null | null | null |
quant-ph cond-mat.mes-hall
|
http://creativecommons.org/licenses/by/4.0/
|
Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap
and extreme sensitivity to boundary conditions. Due to the NH skin effect, the
separation between edge and bulk states is blurred and the (conventional)
bulk-boundary correspondence is lost. Here, we restore the bulk-boundary
correspondence for the most paradigmatic class of NH Hamiltonians, namely those
with one complex band and without symmetries. We obtain the desired NH
Hamiltonian from the (mean-field) unconditional evolution of driven-dissipative
cavity arrays, in which NH terms -- in the form of non-reciprocal hopping
amplitudes, gain and loss -- are explicitly modeled via coupling to (engineered
and non-engineered) reservoirs. This approach removes the arbitrariness in the
definition of the topological invariant, as point-gapped spectra differing by a
complex-energy shift are not treated as equivalent; the origin of the complex
plane provides a common reference (base point) for the evaluation of the
topological invariant. This implies that topologically non-trivial Hamiltonians
are only a strict subset of those with a point gap and that the NH skin effect
does not have a topological origin. We analyze the NH Hamiltonians so obtained
via the singular value decomposition, which allows to express the NH
bulk-boundary correspondence in the following simple form: an integer value
$\nu$ of the topological invariant defined in the bulk corresponds to $\vert
\nu\vert$ singular vectors exponentially localized at the system edge under
open boundary conditions, in which the sign of $\nu$ determines which edge.
Non-trivial topology manifests as directional amplification of a coherent input
with gain exponential in system size. Our work solves an outstanding problem in
the theory of NH topological phases and opens up new avenues in topological
photonics.
|
[{'version': 'v1', 'created': 'Mon, 25 Jul 2022 18:00:03 GMT'}
{'version': 'v2', 'created': 'Fri, 23 Sep 2022 13:07:07 GMT'}
{'version': 'v3', 'created': 'Sat, 27 May 2023 20:21:44 GMT'}]
|
2023-05-30
|
[array(['Brunelli', 'Matteo', ''], dtype=object)
array(['Wanjura', 'Clara C.', ''], dtype=object)
array(['Nunnenkamp', 'Andreas', ''], dtype=object)]
|
18,088 |
gr-qc/0607102
|
Sezgin Ayg\"un
|
Sezgin Aygun, Melis Aygun, Ismail Tarhan
|
Energy Momentum Localization in Marder Space-Time
|
This submission has been withdrawn by arXiv administrators due to
inappropriate text reuse from external sources
|
Pramana 68:21-30,2007; Erratum-ibid 71:1367,2008
|
10.1007/s12043-007-0002-z
| null |
gr-qc
| null |
This paper has been removed by arXiv administrators because it plagiarizes
hep-th/0308070, gr-qc/9910015, and others.
This paper has excessive overlap with the following papers also written by
the authors or their collaborators: gr-qc/0607103, gr-qc/0606080,
gr-qc/0607119, gr-qc/0502043, gr-qc/0505079, gr-qc/0607115, gr-qc/0506061,
gr-qc/0607109, and others.
|
[{'version': 'v1', 'created': 'Mon, 24 Jul 2006 06:15:42 GMT'}
{'version': 'v2', 'created': 'Tue, 17 Jul 2007 10:48:35 GMT'}
{'version': 'v3', 'created': 'Wed, 22 Aug 2007 20:58:45 GMT'}]
|
2019-10-21
|
[array(['Aygun', 'Sezgin', ''], dtype=object)
array(['Aygun', 'Melis', ''], dtype=object)
array(['Tarhan', 'Ismail', ''], dtype=object)]
|
18,089 |
1812.00857
|
Doheon Kim B.Sc.
|
Jiu-Gang Dong, Seung-Yeal Ha and Doheon Kim
|
Interplay of time-delay and velocity alignment in the Cucker-Smale model
on a general digraph
| null | null | null | null |
math.CA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study dynamic interplay between time-delay and velocity alignment in the
ensemble of Cucker-Smale (C-S) particles(or agents) on time-varying networks
which are modeled by digraphs containing spanning trees. Time-delayed dynamical
systems often appear in mathematical models from biology and control theory,
and they have been extensively investigated in literature. In this paper, we
provide sufficient frameworks for the mono-cluster flocking to the continuous
and discrete C-S models, which are formulated in terms of system parameters and
initial data. In our proposed frameworks, we show that the continuous and
discrete C-S models exhibit exponential flocking estimates. For the explicit
C-S communication weights which decay algebraically, our results exhibit
threshold phenomena depending on the decay rate and depth of digraph. We also
provide several numerical examples and compare them with our analytical
results.
|
[{'version': 'v1', 'created': 'Mon, 3 Dec 2018 16:02:29 GMT'}]
|
2018-12-04
|
[array(['Dong', 'Jiu-Gang', ''], dtype=object)
array(['Ha', 'Seung-Yeal', ''], dtype=object)
array(['Kim', 'Doheon', ''], dtype=object)]
|
18,090 |
math/9201242
|
Shelah Office
|
Thomas Jech, Saharon Shelah
|
Full reflection of stationary sets below aleph_omega
| null |
J. Symbolic Logic 55 (1990), 822--830
| null |
Shelah [JeSh:387]
|
math.LO
| null |
It is consistent that for every n >= 2, every stationary subset of omega_n
consisting of ordinals of cofinality omega_k where k = 0 or k <= n-3 reflects
fully in the set of ordinals of cofinality omega_{n-1}. We also show that this
result is best possible.
|
[{'version': 'v1', 'created': 'Mon, 15 Jan 1990 00:00:00 GMT'}]
|
2008-02-03
|
[array(['Jech', 'Thomas', ''], dtype=object)
array(['Shelah', 'Saharon', ''], dtype=object)]
|
18,091 |
1106.2408
|
Valeria Kagramanova
|
Victor Enolski, Betti Hartmann, Valeria Kagramanova, Jutta Kunz, Claus
L\"ammerzahl, Parinya Sirimachan
|
Hyperelliptic integrals and Ho\v{r}ava-Lifshitz black hole space-times
|
34 pages, 3 figures, 1 table; We extended the sections 'Introduction'
and 'Conclusions and Outlook' and made some cosmetic changes throughout the
article. The article is accepted for publication in JMP. arXiv admin note:
text overlap with arXiv:1011.6459
| null | null | null |
gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The description of many dynamical problems like the particle motion in higher
dimensional spherically and axially symmetric space-times is reduced to the
inversion of hyperelliptic integrals of all three kinds. The result of the
inversion is defined locally, using the algebro-geometric techniques of the
standard Jacobi inversion problem and the foregoing restriction to the
$\theta$-divisor. For a representation of the hyperelliptic functions the
Klein--Weierstra{\ss} multivariable $\sigma$-function is introduced. It is
shown that all parameters needed for the calculations like period matrices and
abelian images of branch points can be expressed in terms of the periods of
holomorphic differentials and $\theta$-constants. The cases of genus two, three
and four are considered in detail. The method is exemplified by the particle
motion associated with genus one elliptic and genus three hyperelliptic curves.
Applications are for instance solutions to the geodesic equations in the
space-times of static, spherically symmetric Ho\v{r}ava-Lifshitz black holes.
|
[{'version': 'v1', 'created': 'Mon, 13 Jun 2011 10:20:22 GMT'}
{'version': 'v2', 'created': 'Wed, 21 Dec 2011 19:22:22 GMT'}]
|
2011-12-22
|
[array(['Enolski', 'Victor', ''], dtype=object)
array(['Hartmann', 'Betti', ''], dtype=object)
array(['Kagramanova', 'Valeria', ''], dtype=object)
array(['Kunz', 'Jutta', ''], dtype=object)
array(['Lämmerzahl', 'Claus', ''], dtype=object)
array(['Sirimachan', 'Parinya', ''], dtype=object)]
|
18,092 |
1810.05669
|
Andrew Zimmer
|
Andrew Zimmer
|
Two boundary rigidity results for holomorphic maps
|
42 pages. Comments welcome. v2: minor edits
| null | null | null |
math.CV math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we establish two boundary versions of the Schwarz lemma. The
first is for general holomorphic self maps of bounded convex domains with $C^2$
boundary. This appears to be the first boundary Schwarz lemma for general
holomorphic self maps that requires no strong pseudoconvexity or finite type
assumptions. The second is for biholomorphisms of domains who have an invariant
K\"ahler metric with bounded sectional curvature. This second result applies to
holomorphic homogeneous regular domains and appears to be the first boundary
Schwarz lemma that makes no assumptions on the regularity of the boundary.
|
[{'version': 'v1', 'created': 'Fri, 12 Oct 2018 18:39:36 GMT'}
{'version': 'v2', 'created': 'Mon, 22 Oct 2018 19:37:40 GMT'}]
|
2018-10-24
|
[array(['Zimmer', 'Andrew', ''], dtype=object)]
|
18,093 |
2206.05624
|
Nathan Secrest
|
Nathan Secrest, Sebastian von Hausegger, Mohamed Rameez, Roya
Mohayaee, Subir Sarkar
|
A Challenge to the Standard Cosmological Model
|
11 pages, 4 figures, accepted for publication in ApJ Letters. Code
and data available at https://zenodo.org/record/6784602
|
Astrophys. J. Lett. 937 (2022) L31
|
10.3847/2041-8213/ac88c0
| null |
astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the first joint analysis of catalogs of radio galaxies and quasars
to determine if their sky distribution is consistent with the standard
$\Lambda$CDM model of cosmology. This model is based on the cosmological
principle, which asserts that the universe is statistically isotropic and
homogeneous on large scales, so the observed dipole anisotropy in the cosmic
microwave background (CMB) must be attributed to our local peculiar motion. We
test the null hypothesis that there is a dipole anisotropy in the sky
distribution of radio galaxies and quasars consistent with the motion inferred
from the CMB, as is expected for cosmologically distant sources. Our two
samples, constructed respectively from the NRAO VLA Sky Survey and the
Wide-field Infrared Survey Explorer, are systematically independent and have no
shared objects. Using a completely general statistic that accounts for
correlation between the found dipole amplitude and its directional offset from
the CMB dipole, the null hypothesis is independently rejected by the radio
galaxy and quasar samples with $p$-value of $8.9\times10^{-3}$ and
$1.2\times10^{-5}$, respectively, corresponding to $2.6\sigma$ and $4.4\sigma$
significance. The joint significance, using sample size-weighted $Z$-scores, is
$5.1\sigma$. We show that the radio galaxy and quasar dipoles are consistent
with each other and find no evidence for any frequency dependence of the
amplitude. The consistency of the two dipoles improves if we boost to the CMB
frame assuming its dipole to be fully kinematic, suggesting that cosmologically
distant radio galaxies and quasars may have an intrinsic anisotropy in this
frame.
|
[{'version': 'v1', 'created': 'Sat, 11 Jun 2022 22:06:05 GMT'}
{'version': 'v2', 'created': 'Fri, 12 Aug 2022 17:58:55 GMT'}]
|
2022-09-29
|
[array(['Secrest', 'Nathan', ''], dtype=object)
array(['von Hausegger', 'Sebastian', ''], dtype=object)
array(['Rameez', 'Mohamed', ''], dtype=object)
array(['Mohayaee', 'Roya', ''], dtype=object)
array(['Sarkar', 'Subir', ''], dtype=object)]
|
18,094 |
2007.10349
|
Erin Kado-Fong
|
Erin Kado-Fong, Jenny E. Greene, Song Huang, Rachael Beaton, Andy D.
Goulding, Yutaka Komiyama
|
Tracing the Intrinsic Shapes of Dwarf Galaxies out to Four Effective
Radii: Clues to Low-Mass Stellar Halo Formation
|
23 pages, 15 figures. Submitted to ApJ
| null | null | null |
astro-ph.GA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Though smooth, extended spheroidal stellar outskirts have long been observed
around nearby dwarf galaxies, it is unclear whether dwarfs generically host an
extended stellar halo. We use imaging from the Hyper Suprime-Cam Subaru
Strategic Program (HSC-SSP) to measure the shapes of dwarf galaxies out to four
effective radii for a sample of dwarfs at 0.005<z<0.2 and
10^7<M_star/M_sun<10^9.6. We find that dwarfs are slightly triaxial, with a
<B/A> >~ 0.75 (where the ellipsoid is characterized by three principle
semi-axes constrained by C<=B<=A). At M_star>10^8.5 M_sun, the galaxies grow
from thick disk-like near their centers towards the spheroidal extreme at four
effective radii. We also see that although blue dwarfs are, on average,
characterized by thinner discs than red dwarfs, both blue and red dwarfs grow
more spheroidal as a function of radius. This relation also holds true for a
comparison between field and satellite dwarfs. This uniform trend towards
relatively spheroidal shapes as a function of radius is consistent with an
in-situ formation mechanism for stellar outskirts around low-mass galaxies, in
agreement with proposed models where star formation feedback produces round
stellar outskirts around dwarfs.
|
[{'version': 'v1', 'created': 'Mon, 20 Jul 2020 18:00:02 GMT'}]
|
2020-07-22
|
[array(['Kado-Fong', 'Erin', ''], dtype=object)
array(['Greene', 'Jenny E.', ''], dtype=object)
array(['Huang', 'Song', ''], dtype=object)
array(['Beaton', 'Rachael', ''], dtype=object)
array(['Goulding', 'Andy D.', ''], dtype=object)
array(['Komiyama', 'Yutaka', ''], dtype=object)]
|
18,095 |
2207.04419
|
Azrul Pohan
|
Michael Joyce, Azrul Pohan
|
Cosmological perturbation theory using generalized Einstein de Sitter
cosmologies
|
revised version accepted in Phys. Rev. D., additional detailed
comparison with previous works, new summary table, additional references
| null |
10.1103/PhysRevD.107.103510
| null |
astro-ph.CO
|
http://creativecommons.org/licenses/by/4.0/
|
The separable analytical solution in standard perturbation theory for an
Einstein de Sitter (EdS) universe can be generalized to the wider class of such
cosmologies (``generalized EdS'', or gEdS) in which a fraction of the
pressure-less fluid does not cluster. We derive the corresponding kernels in
both Eulerian perturbation theory (EPT) and Lagrangian perturbation theory,
generalizing the canonical EdS expressions to a one-parameter family where the
parameter can be taken to be the exponent $\alpha$ of the growing mode linear
amplification $D(a) \propto a^{\alpha}$. For the power spectrum (PS) at one
loop in EPT, the contribution additional to standard EdS is given, for each of
the `13' and `22' terms, as a function of two infra-red safe integrals. In the
second part of the paper we show that the calculation of cosmology-dependent
corrections in perturbation theory in standard (e.g. LCDM-like) models can be
simplified, and their magnitude and parameter dependence better understood, by
relating them to our analytic results for gEdS models. At second order the time
dependent kernels are equivalent to the analytic kernels of the gEdS model with
$\alpha$ replaced by a single redshift dependent effective growth rate
$\alpha_2(z)$. At third order the time evolution can be conveniently
parametrized in terms of two additional such effective growth rates. For the PS
calculated at one loop order, the correction to the PS relative to the EdS
limit can be expressed in terms of just $\alpha_2(z)$, one additional effective
growth rate function and the four infra-red safe integrals of the gEdS limit.
This is much simplified compared to expressions in the literature that use six
or eight red-shift dependent functions and are not explicitly infra-red safe.
Using the analytic gEdS expression for the PS with $\alpha=\alpha_2(z)$ gives a
good approximation (to $\sim 25 \%$) for the exact result.
|
[{'version': 'v1', 'created': 'Sun, 10 Jul 2022 08:53:37 GMT'}
{'version': 'v2', 'created': 'Fri, 30 Dec 2022 22:01:20 GMT'}
{'version': 'v3', 'created': 'Mon, 17 Apr 2023 08:43:34 GMT'}]
|
2023-05-12
|
[array(['Joyce', 'Michael', ''], dtype=object)
array(['Pohan', 'Azrul', ''], dtype=object)]
|
18,096 |
1208.5434
|
Hiroaki Abuki
|
Hiroaki Abuki, Katsuhiko Suzuki
|
Ginzburg-Landau approach to inhomogeneous chiral phases of QCD
|
5 pages, 5 eps figures. Talk presented at QCD@Work 2012:
International Workshop on QCD - Theory and Experiment, June 18-21, Lecce,
Italy
| null |
10.1063/1.4763533
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the inhomogeneous chiral condensates in the proximity of the chiral
tricritical point (TCP) of two-flavor QCD. Deriving the Ginzburg-Landau (GL)
functional up to the eighth order in the order parameter and its spatial
derivative, we explore off the TCP and find that critical curves are bent by
non-linear effects. In the newly extend GL coupling space, we find the TCP
being realized as a multicritical point where five independent critical lines
meet up. We also present general analyses for the energies associated with
several higher dimensional crystal structures.
|
[{'version': 'v1', 'created': 'Mon, 27 Aug 2012 16:26:20 GMT'}]
|
2015-06-11
|
[array(['Abuki', 'Hiroaki', ''], dtype=object)
array(['Suzuki', 'Katsuhiko', ''], dtype=object)]
|
18,097 |
2006.04557
|
Viktor Iv\'ady
|
Gergely Barcza, Viktor Iv\'ady, Tibor Szilv\'asi, M\'arton V\"or\"os,
Libor Veis, \'Ad\'am Gali, \"Ors Legeza
|
DMRG on top of plane-wave Kohn-Sham orbitals: case study of defected
boron nitride
| null | null | null | null |
cond-mat.str-el physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we analyze the numerical aspects of the inherently
multi-reference density matrix renormalization group (DMRG) calculations on top
of the periodic Kohn-Sham density functional theory (DFT) using the complete
active space (CAS) approach. Following the technical outline related to the
computation of the Hamiltonian matrix elements and to the construction of the
active space, we illustrate the potential of the framework by studying the
vertical many-body energy spectrum of hexagonal boron nitride (hBN) nano-flakes
embedding a single boron vacancy point defect with prominent multi-reference
character. We investigate the consistency of the DMRG energy spectrum from the
perspective of sample size, basis size, and active space selection protocol.
Results obtained from standard quantum chemical atom-centered basis
calculations and plane-wave based counterparts show excellent agreement.
Furthermore, we also discuss the spectrum of the periodic sheet which is in
good agreement with extrapolated data of finite clusters. These results pave
the way toward applying DMRG method in extended correlated solid state systems,
such as point qubit in wide band gap semiconductors.
|
[{'version': 'v1', 'created': 'Mon, 8 Jun 2020 13:04:42 GMT'}]
|
2020-06-09
|
[array(['Barcza', 'Gergely', ''], dtype=object)
array(['Ivády', 'Viktor', ''], dtype=object)
array(['Szilvási', 'Tibor', ''], dtype=object)
array(['Vörös', 'Márton', ''], dtype=object)
array(['Veis', 'Libor', ''], dtype=object)
array(['Gali', 'Ádám', ''], dtype=object)
array(['Legeza', 'Örs', ''], dtype=object)]
|
18,098 |
0908.3996
|
Mikhail Braun
|
M.A.Braun
|
Loops in the gluon emission amplitude: reggeization from the Glauber
scattering
|
26 pages, 10 figures
|
Eur.Phys.J.C66:147-161,2010
|
10.1140/epjc/s10052-010-1235-4
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that in the Glauber scattering of a fast quark in the external
field loop corrections to the gluon emission amplitude due to virtual softer
gluon after renormalization coincide with a correction due to reggeization of
the exchanged gluon in the BFKL picture.
|
[{'version': 'v1', 'created': 'Thu, 27 Aug 2009 12:18:56 GMT'}]
|
2014-11-20
|
[array(['Braun', 'M. A.', ''], dtype=object)]
|
18,099 |
1008.3754
|
Hiroshi Shinaoka
|
Hiroshi Shinaoka and Masatoshi Imada
|
Theory of Electron Transport near Anderson-Mott Transitions
|
4 pages, 4 figures, 1 table
|
J. Phys. Soc. Jpn. 79 (2010) 113703
|
10.1143/JPSJ.79.113703
| null |
cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a theory of the DC electron transport in insulators near
Anderson-Mott transitions under the influence of coexisting electron
correlation and randomness. At sufficiently low temperatures, the DC electron
transport in Anderson-Mott insulators is determined by the single-particle
density of states (DOS) near the Fermi energy. Anderson insulators, caused by
randomness, are characterized by a nonzero DOS at the Fermi energy. However,
recently, the authors proposed that coexisting randomness and short-ranged
interaction in insulators open a soft Hubbard gap in the DOS, and the DOS
vanishes only at the Fermi energy. Based on the picture of the soft Hubbard
gap, we derive a formula for the critical behavior for the temperature
dependence of the DC resistivity. Comparisons of the present theory with
experimental results of electrostatic carrier doping into an organic conductor
kappa-(BEDT-TTF)_2Cu[N(CN)_2]Br demonstrate the evidence for the present
soft-Hubbard scaling.
|
[{'version': 'v1', 'created': 'Mon, 23 Aug 2010 05:45:58 GMT'}
{'version': 'v2', 'created': 'Wed, 13 Oct 2010 04:49:30 GMT'}]
|
2010-10-26
|
[array(['Shinaoka', 'Hiroshi', ''], dtype=object)
array(['Imada', 'Masatoshi', ''], dtype=object)]
|
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