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18,100
astro-ph/0001448
Wolfgang Vieser
Wolfgang Vieser and Gerhard Hensler
Evaporation and Condensation Processes of Giant Molecular Clouds in a Hot Plasma
to appear in: 1999, Proc. "Astrophysical Dynamics", eds. D. Berry et al., Astroph. Sp. Sci., in press
Astrophys.Space Sci. 272 (2000) 189-196
10.1023/A:1002684126855
null
astro-ph
null
2d hydrodynamical simulations are performed to examine the evaporation and condensation processes of giant molecular clouds in the hot phase of the interstellar medium. The evolution of cold and dense clouds is calculated in the subsonic stream of a hot tenuous plasma. Our code includes self-gravity, heating and cooling processes and heat conduction by electrons. Significant differences occur between simulations with and without heat conduction.
[{'version': 'v1', 'created': 'Wed, 26 Jan 2000 09:11:21 GMT'}]
2009-10-31
[array(['Vieser', 'Wolfgang', ''], dtype=object) array(['Hensler', 'Gerhard', ''], dtype=object)]
18,101
math-ph/0011027
George Leontaris
E.G. Floratos, G.K. Leontaris
World volume Supermembrane Instantons in the light-cone frame
Talk, Ioannina 98, Symmetries in intermediate and high energy physics
null
null
null
math-ph math.MP
null
In this review we present the octonionic duality for membranes. We start with a discussion on the relation of the Yang Mills theories and the supermembrane Hamiltonian in the light-cone gauge. We further derive the self-duality equations for the membranes and discuss the integrability of the system in 7 and 3 dimensions. Finally, we present classical Euclidean time solutions of these equations and examine the supersymmetries left intact by the self-duality equations.
[{'version': 'v1', 'created': 'Thu, 16 Nov 2000 16:13:17 GMT'}]
2007-05-23
[array(['Floratos', 'E. G.', ''], dtype=object) array(['Leontaris', 'G. K.', ''], dtype=object)]
18,102
cond-mat/9910428
J. S. Sa' Martins
J.S. Sa' Martins
Simulated Coevolution in a Mutating Ecology
4 pages, 3 figures, minor revision in text and 2 added references
Phys. Rev. E 61, R2212 (2000)
10.1103/PhysRevE.61.R2212
null
cond-mat.stat-mech q-bio
null
The bit-string Penna Model is used to simulate the competition between an asexual parthenogenetic and a sexual population sharing the same environment. A new-born of either population can mutate and become a part of the other with some probability. In a stable environment the sexual population soon dies out. When an infestation by fastly mutating genetically coupled parasites is introduced however, sexual reproduction prevails, as predicted by the so-called Red Queen hypothesis for the evolution of sex.
[{'version': 'v1', 'created': 'Tue, 26 Oct 1999 17:55:40 GMT'} {'version': 'v2', 'created': 'Wed, 8 Mar 2000 21:13:08 GMT'}]
2009-10-31
[array(['Martins', "J. S. Sa'", ''], dtype=object)]
18,103
1505.05937
Shigeru Hanba
Shigeru Hanba
Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems
This work was supported by the Japan Society for the Promotion of Science under Grant-in-Aid for Scientific Research (C) 23560535. This document is the accepted version of the manuscript published in Automatica. Copyright 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Automatica, Vol. 75, pp. 154-157, 2017
10.1016/j.automatica.2016.09.046
null
math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The problem of state-feedback stabilizability of discrete-time nonlinear systems has been considered in this note. Two assertions have been proved. First, if the system is $N$-step controllable to the origin, then there is a state feedback control law for which the trajectory of the closed-loop system converges to the origin in $N$ steps. Second, if the system is asymptotically controllable to the origin and satisfies the controllability rank condition at the origin, then there is a state feedback control law for which the trajectory of the closed-loop system converges to the origin in finite steps.
[{'version': 'v1', 'created': 'Fri, 22 May 2015 02:54:39 GMT'} {'version': 'v2', 'created': 'Wed, 18 Apr 2018 06:00:50 GMT'}]
2018-04-19
[array(['Hanba', 'Shigeru', ''], dtype=object)]
18,104
1411.4876
Stella Riad
Johannes Bergstrom and Stella Riad
Bayesian Model comparison of Higgs couplings
24 pages, 4 figures
Phys. Rev. D 91, 075008 (2015)
10.1103/PhysRevD.91.075008
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the possibility of contributions from physics beyond the Standard Model (SM) to the Higgs couplings, in the light of the LHC data. The work is performed within an interim framework where the magnitude of the Higgs production and decay rates are rescaled though Higgs coupling scale factors. We perform Bayesian parameter inference on these scale factors, concluding that there is good compatibility with the SM. Furthermore, we carry out Bayesian model comparison on all models where any combination of scale factors can differ from their SM values and find that typically models with fewer free couplings are strongly favoured. We consider the evidence that each coupling individually equals the SM value, making the minimal assumptions on the other couplings. Finally, we make a comparison of the SM against a single "not-SM" model, and find that there is moderate to strong evidence for the SM.
[{'version': 'v1', 'created': 'Tue, 18 Nov 2014 15:36:16 GMT'} {'version': 'v2', 'created': 'Thu, 1 Oct 2015 10:07:12 GMT'}]
2015-10-02
[array(['Bergstrom', 'Johannes', ''], dtype=object) array(['Riad', 'Stella', ''], dtype=object)]
18,105
2205.12947
Matthew Habermann
Matthew Habermann
A note on homological Berglund-H\"ubsch-Henningson mirror symmetry for curve singularities
35 pages, 8 figures. Comments welcome. V2 minor updates
null
null
null
math.SG math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this note, we establish homological Berglund--H\"ubsch mirror symmetry for curve singularities where the A-model incorporates equivariance, otherwise known as homological Berglund-H\"ubsch-Henningson mirror symmetry. More precisely, we prove a conjecture of Futaki and Ueda in arXiv:1004.0078 which posits that the equivariance in the A-model can be incorporated by pulling back the superpotential to the total space of the corresponding crepant resolution. Our approach is predicated on the fact that the Morsifications used in arXiv:1903.01351 are equivariant with respect to the group actions appearing on the A-side of the conjecture. Along the way, we show that the category of matrix factorisations of the mirror has a tilting object whose length is the dimension of the state space of the FJRW A--model, which might also be of independent interest.
[{'version': 'v1', 'created': 'Wed, 25 May 2022 17:53:24 GMT'} {'version': 'v2', 'created': 'Mon, 28 Nov 2022 18:18:09 GMT'}]
2022-11-29
[array(['Habermann', 'Matthew', ''], dtype=object)]
18,106
2211.05668
Haifeng Wang
Hai-Feng Wang, \v{Z}ofia Chrob\'akov\'a, Mart\'in L\'opez-Corredoira, Francesco Sylos Labini
Mapping the Milky Way Disk with Gaia DR3: 3D extended kinematic maps and rotation curve to $\approx 30$ kpc
14 pages, 10 figures, 1 table. Accepted for publication in The Astrophysical Journal
null
10.3847/1538-4357/aca27c
null
astro-ph.GA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply a statistical deconvolution of the parallax errors based on Lucy's inversion method (LIM) to the Gaia-DR3 sources to measure their three dimensional velocity components in the range of Galactocentric distances $R$ between 8 kpc and 30 kpc with their corresponding errors and root mean square values. We find results that are consistent with those obtained by applying LIM to the Gaia-DR2 sources, and we conclude that the method gives convergent and more accurate results by improving the statistics of the data-set and lowering observational errors. The kinematic maps reconstructed with LIM up to $R \approx 30$ kpc show that the Milky Way is characterized by asymmetrical motions with significant gradients in all velocity components. Furthermore, we determine the Galaxy rotation curve $V_C(R)$ up to $\approx 27.5$ kpc with the cylindrical Jeans equation assuming an axisymmetric gravitational potential. We find that $V_C(R)$ is significantly declining up to the largest radius investigated. Finally, we also measure $V_C(R)$ at different vertical heights, showing that, for $R <15$ kpc, there is a marked dependence on $Z$, whereas at larger $R$ the dependence on $Z$ is negligible.
[{'version': 'v1', 'created': 'Thu, 10 Nov 2022 16:05:57 GMT'} {'version': 'v2', 'created': 'Wed, 7 Dec 2022 08:15:54 GMT'}]
2023-01-04
[array(['Wang', 'Hai-Feng', ''], dtype=object) array(['Chrobáková', 'Žofia', ''], dtype=object) array(['López-Corredoira', 'Martín', ''], dtype=object) array(['Labini', 'Francesco Sylos', ''], dtype=object)]
18,107
1707.03809
Alexander Magazinov
Alexander Magazinov
A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
v.2: final version, accepted in Adv.Geom
null
null
null
math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this short note we prove a sharp lower bound for the second moment of a lattice Voronoi cell in terms of the respective covering radius. This gives an affirmative answer to a conjecture by Haviv, Lyubashevsky and Regev. We also characterize those lattice Voronoi cells for which this lower bound is attained.
[{'version': 'v1', 'created': 'Wed, 12 Jul 2017 17:32:05 GMT'} {'version': 'v2', 'created': 'Sat, 14 Apr 2018 20:27:37 GMT'}]
2018-04-17
[array(['Magazinov', 'Alexander', ''], dtype=object)]
18,108
1804.01168
Octavio Mendoza Hernandez
Eduardo Marcos, Octavio Mendoza and Corina S\'aenz
Cokernels of the Cartan Matrix and Stratifying Systems
null
null
null
null
math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the cokernel of the application given by the Cartan Matrix $C_\Lambda$ of a finite dimensional $k$-algebra $\Lambda.$ This produces a finitely generated abelian group, the Cartan group $G_\Lambda,$ which is invariant under derived equivalences. We are interested in the case when $G_\Lambda$ is finite. For a standardly stratified algebra, it is shown that this group is always finite and some interesting connections with the standard modules are found. As a consequence, it is got that $G_\Lambda$ can be seen as a measure of how far is a standardly stratified algebra $\Lambda$ to be quasi-hereditary. Finally, it is also shown that any finite abelian group can be realized as the Cartan group of some standardly stratified algebra.
[{'version': 'v1', 'created': 'Tue, 3 Apr 2018 20:58:47 GMT'}]
2018-04-05
[array(['Marcos', 'Eduardo', ''], dtype=object) array(['Mendoza', 'Octavio', ''], dtype=object) array(['Sáenz', 'Corina', ''], dtype=object)]
18,109
astro-ph/0205184
Didier Barret
Didier Barret (CESR, Toulouse) and Jean-Francois Olive (CESR, Toulouse)
A peculiar spectral state transition of 4U1705--44: when an Atoll looks like a Z
23 pages, 11 figures, 2 tables, to appear in the Astrophysical Journal
Astrophys.J. 576 (2002) 391-401
10.1086/341626
null
astro-ph
null
We report on a clear spectral state transition of the neutron star low-mass X-ray binary 4U1705-44 observed by the Rossi X-ray Timing Explorer. In the X-ray color-color diagram (CCD), the source, classified as an Atoll, samples the upper parts of a Z, starting from and returning to the left bottom of the Z. We follow the path of 4U1705-44 on its CCD, model its broad band X-ray/hard X-ray spectrum, and compute the Fourier power density spectrum of its X-ray variability. The spectral transitions of 4U1705-44 are shown to be primarily associated with changes in the temperature of the Comptonizing electrons. In the hard state (top branch of the Z), the source evolves from left to right on the CCD, while its luminosity smoothly increases. Our observations can be interpreted in the framework of a model made of a truncated accretion disk of varying inner radius and an inner flow merging smoothly with the neutron star boundary layer. The spectral evolution could be driven by changes in the truncation radius of the disk; e.g. the soft to hard transition could be caused by the disk moving outwards. If this model is correct, then our data show that the disk truncation radius is not set by the instantaneous mass accretion rate, as derived from the source bolometric luminosity. Comparing the power density spectra of 4U1705-44 and Z sources when they occupy similar branches of the Z, we show that the most significant difference is on the diagonal branch, on which the power density spectra of 4U1705-44 remain similar to the ones measured on the top branch of the Z (hard state).
[{'version': 'v1', 'created': 'Mon, 13 May 2002 15:46:18 GMT'}]
2009-11-07
[array(['Barret', 'Didier', '', 'CESR, Toulouse'], dtype=object) array(['Olive', 'Jean-Francois', '', 'CESR,\n Toulouse'], dtype=object)]
18,110
1209.2971
Leslie Wade IV
Leslie Wade, Xavier Siemens, David L. Kaplan, Benjamin Knispel, and Bruce Allen
Continuous Gravitational Waves from Isolated Galactic Neutron Stars in the Advanced Detector Era
Accepted for publication by Physical Review D, 8 pages, 5 figures
Phys. Rev. D 86, 124011 (2012)
10.1103/PhysRevD.86.124011
null
gr-qc astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a simulated population of isolated Galactic neutron stars. The rotational frequency of each neutron star evolves through a combination of electromagnetic and gravitational wave emission. The magnetic field strength dictates the dipolar emission, and the ellipticity (a measure of a neutron star's deformation) dictates the gravitational wave emission. Through both analytic and numerical means, we assess the detectability of the Galactic neutron star population and bound the magnetic field strength and ellipticity parameter space of Galactic neutron stars with or without a direct gravitational wave detection. While our simulated population is primitive, this work establishes a framework by which future efforts can be conducted.
[{'version': 'v1', 'created': 'Thu, 13 Sep 2012 17:34:58 GMT'} {'version': 'v2', 'created': 'Thu, 15 Nov 2012 16:39:03 GMT'} {'version': 'v3', 'created': 'Fri, 16 Nov 2012 19:46:00 GMT'}]
2013-10-25
[array(['Wade', 'Leslie', ''], dtype=object) array(['Siemens', 'Xavier', ''], dtype=object) array(['Kaplan', 'David L.', ''], dtype=object) array(['Knispel', 'Benjamin', ''], dtype=object) array(['Allen', 'Bruce', ''], dtype=object)]
18,111
nlin/0507047
Andrea Trombettoni
R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani
Propagation of Discrete Solitons in Inhomogeneous Networks
null
Chaos 15, 043501 (2005)
10.1063/1.2049147
null
nlin.PS cond-mat.stat-mech
null
In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated by the insertion of a finite discrete network on the chain. For networks connected by a link to a single site of the chain, we derive a general criterion yielding the momenta for perfect reflection and transmission of traveling solitons and we discuss solitonic motion on chains with topological inhomogeneities.
[{'version': 'v1', 'created': 'Fri, 22 Jul 2005 23:59:19 GMT'}]
2009-11-11
[array(['Burioni', 'R.', ''], dtype=object) array(['Cassi', 'D.', ''], dtype=object) array(['Sodano', 'P.', ''], dtype=object) array(['Trombettoni', 'A.', ''], dtype=object) array(['Vezzani', 'A.', ''], dtype=object)]
18,112
2101.06384
Erik Fredenberg
Erik Fredenberg, Bjorn Cederstrom, Carolina Ribbing, Mats Danielsson
Prism-array lenses for energy filtering in medical x-ray imaging
null
Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 65100S (7 March 2007)
10.1117/12.713767
null
physics.med-ph
http://creativecommons.org/licenses/by-nc-nd/4.0/
Conventional energy filters for x-ray imaging are based on absorbing materials which attenuate low energy photons, sometimes combined with an absorption edge, thus also discriminating towards photons of higher energies. These filters are fairly inefficient, in particular for photons of higher energies, and other methods for achieving a narrower bandwidth have been proposed. Such methods include various types of monochromators, based on for instance mosaic crystals or refractive multi-prism x-ray lenses (MPL's). Prism-array lenses (PAL's) are similar to MPL's, but are shorter, have larger apertures, and higher transmission. A PAL consists of a number of small prisms arranged in columns perpendicular to the optical axis. The column height decreases along the optical axis so that the projection of lens material is approximately linear with a Fresnel phase-plate pattern superimposed on it. The focusing effect is one dimensional, and the lens is chromatic. Hence, unwanted energies can be blocked by placing a slit in the image plane of a desired energy. We present the first experimental and theoretical results on an energy filter based on a silicon PAL. The study includes an evaluation of the spectral shaping properties of the filter as well as a quantification of the achievable increase in dose efficiency compared to standard methods. Previously, PAL's have been investigated with synchrotron radiation, but in this study a medical imaging setup, based on a regular x-ray tube, is considered.
[{'version': 'v1', 'created': 'Sat, 16 Jan 2021 06:54:58 GMT'}]
2021-01-19
[array(['Fredenberg', 'Erik', ''], dtype=object) array(['Cederstrom', 'Bjorn', ''], dtype=object) array(['Ribbing', 'Carolina', ''], dtype=object) array(['Danielsson', 'Mats', ''], dtype=object)]
18,113
1006.3518
Slaven Garaj
S. Garaj, W. Hubbard, A. Reina, J. Kong, D. Branton and J. A. Golovchenko
Graphene: A sub-nanometer trans-electrode membrane
Submitted 12 April 2010 to Nature, where it is under review
Nature 467, 190-193 (2010)
10.1038/nature09379
null
cond-mat.mes-hall physics.bio-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Isolated, atomically thin conducting membranes of graphite, called graphene, have recently been the subject of intense research with the hope that practical applications in fields ranging from electronics to energy science will emerge. Here, we show that when immersed in ionic solution, a layer of graphene takes on new electrochemical properties that make it a trans-electrode. The trans-electrode's properties are the consequence of the atomic scale proximity of its two opposing liquid-solid interfaces together with graphene's well known in-plane conductivity. We show that several trans-electrode properties are revealed by ionic conductivity measurements on a CVD grown graphene membrane that separates two aqueous ionic solutions. Despite this membrane being only one to two atomic layers thick, we find it is a remarkable ionic insulator with a very small stable conductivity that depends on the ion species in solution. Electrical measurements on graphene membranes in which a single nanopore has been drilled show that the membrane's effective insulating thickness is less than one nanometer. This small effective thickness makes graphene an ideal substrate for very high-resolution, high throughput nanopore based single molecule detectors. Sensors based on modulation of graphene's in-plane electronic conductivity in response to trans-electrode environments and voltage biases will provide new insights into atomic processes at the electrode surfaces.
[{'version': 'v1', 'created': 'Thu, 17 Jun 2010 16:58:36 GMT'}]
2010-09-17
[array(['Garaj', 'S.', ''], dtype=object) array(['Hubbard', 'W.', ''], dtype=object) array(['Reina', 'A.', ''], dtype=object) array(['Kong', 'J.', ''], dtype=object) array(['Branton', 'D.', ''], dtype=object) array(['Golovchenko', 'J. A.', ''], dtype=object)]
18,114
1510.02801
Ryan Cooke
Ryan Cooke (University of California, Santa Cruz)
Big Bang Nucleosynthesis and the Helium Isotope Ratio
5 pages, 2 figures, Accepted for publication in The Astrophysical Journal Letters
(2015) ApJL, 812, L12
10.1088/2041-8205/812/1/L12
null
astro-ph.CO nucl-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The conventional approach to search for departures from the standard model of physics during Big Bang Nucleosynthesis involves a careful, and subtle measurement of the mass fraction of baryons consisting of helium. Recent measurements of this quantity tentatively support new physics beyond the standard model but, historically, this method has suffered from hidden systematic uncertainties. In this letter, I show that a combined measurement of the primordial deuterium abundance and the primordial helium isotope ratio has the potential to provide a complementary and reliable probe of new physics beyond the standard model. Using the recent determination of the primordial deuterium abundance and assuming that the measured pre-solar 3He/4He meteoritic abundance reflects the primordial value, a bound can be placed on the effective number of neutrino species, Neff(BBN) = 3.01 (+0.95 -0.76, with 95 per cent confidence). Although this value of Neff supports the standard model, it is presently unclear if the pre-solar 3He/4He ratio reflects the primordial value. New astrophysical measurements of the helium isotope ratio in near-pristine environments, together with updated calculations and experimental values of several important nuclear reactions (some of which are already being attempted), will lead to much improved limits on possible departures from the standard model. To this end, I describe an analysis strategy to measure the 3He I flux emitted from nearby low metallicity H II regions. The proposed technique can be attempted with the next generation of large telescopes, and will be easier to realize in metal-poor H II regions with quiescent kinematics.
[{'version': 'v1', 'created': 'Fri, 9 Oct 2015 20:04:15 GMT'}]
2015-10-13
[array(['Cooke', 'Ryan', '', 'University of California, Santa Cruz'], dtype=object) ]
18,115
astro-ph/9501006
Peter Biermann
Peter L. Biermann
The origin of cosmic rays
Lecture at the meeting Trends in Astroparticle Physics, Stockholm September 1994, 8 pages, uuencoded
Nucl.Phys.Proc.Suppl.43:221-228,1995
10.1016/0920-5632(95)00478-R
MPIfR 616
astro-ph
null
The search for the origin of cosmic rays is a quest of almost a hundred years. A recent theoretical proposal gives quantitative predictions, which can be tested with data. Specifically, it has been suggested, that all cosmic rays can be attributed to just three source sites: i) supernova explosions into the interstellar medium, ii) supernova explosions into a stellar wind, and iii) powerful radiogalaxies. The cosmic rays from any extragalactic source suffer from interaction with the microwave background, leading to the Greisen-Zatsepin-Kuzmin cutoff. While the particle energies, the spectrum and the chemical composition of cosmic rays over the energy range from about GeV to about 100 EeV can be interpreted in the theory, there are exciting measurements now: New measurements show that there are cosmic ray events beyond the Greisen-Zatsepin-Kuzmin cutoff. We discuss here possible sources, and specifically ask whether powerful radiogalaxies are suitable candidates. The basic concepts used here are the minimal hypothesis that the intergalactic magnetic field is given by the galaxy distribution, and the observation that radio galaxies also cluster like galaxies.
[{'version': 'v1', 'created': 'Wed, 4 Jan 1995 11:47:02 GMT'}]
2016-08-30
[array(['Biermann', 'Peter L.', ''], dtype=object)]
18,116
astro-ph/0512026
Mario Gliozzi
M. Gliozzi (1), I.E. Papadakis (2), C. Raeth (3) ((1) GMU, (2) University of Crete, (3) MPE)
Correlated spectral and temporal changes in 3C 390.3: a new link between AGN and Galactic Black Hole Binaries?
15 pages, 12 figures, accepted for publication in A&A
null
10.1051/0004-6361:20041307
null
astro-ph
null
This work presents the results from a systematic search for evidence of temporal changes (i.e., non-stationarity) associated with spectral variations in 3C 390.3, using data from a two-year intensive RXTE monitoring campaign of this broad-line radio galaxy. In order to exploit the potential information contained in a time series more efficiently, we adopt a multi-technique approach, making use of linear and non-linear techniques. All the methods show suggestive evidences for non-stationarity in the temporal properties of 3C 390.3 between 1999 and 2000, in the sense that the characteristic time-scale of variability decreases as the energy spectrum of the source softens. However, only the non-linear, "scaling index method" is able to show conclusively that the temporal characteristics of the source do vary, although the physical interpretation of this result is not clear at the moment. Our results indicate that the variability properties of 3C 390.3 may vary with time, in the same way as they do in Galactic black holes in the hard state, strengthening the analogy between the X-ray variability properties of the two types of object. This is the first time that such a behavior is detected in an AGN X-ray light curve. Further work is needed in order to investigate whether this is a common behavior in AGN, just like in the Galactic binaries, or not.
[{'version': 'v1', 'created': 'Thu, 1 Dec 2005 16:08:27 GMT'} {'version': 'v2', 'created': 'Fri, 2 Dec 2005 15:30:53 GMT'}]
2009-11-11
[array(['Gliozzi', 'M.', ''], dtype=object) array(['Papadakis', 'I. E.', ''], dtype=object) array(['Raeth', 'C.', ''], dtype=object)]
18,117
math-ph/9911039
Alexander G. Ramm
A.G.Ramm
Stability estimates in inverse scattering
null
Acta Appl Math., 28 N1, (1992), 1-42
null
null
math-ph math.AP math.MP math.NA
null
Mathematically rigorous inversion method is developed to recover compactly supported potentials from the fixed-energy scattering data in three dimensions. Error estimates are given for the solution. An algorithm for inversion of noisy discrete fixed-energy #D scattering data is developed and its error estimates are obtained
[{'version': 'v1', 'created': 'Fri, 26 Nov 1999 17:55:46 GMT'}]
2007-05-23
[array(['Ramm', 'A. G.', ''], dtype=object)]
18,118
astro-ph/0606022
P. S. Negi
P. S. Negi
Necessary and sufficient condition for hydrostatic equilibrium in general relativity
31 pages (double-spaced) revtex style, 1 figure in `ps' format
Int.J.Mod.Phys.D16:35-52,2007
10.1142/S0218271807009292
null
astro-ph
null
We present explicit examples to show that the `compatibility criterion' is capable of providing a {\em necessary} and {\em sufficient} condition for any regular configuration to be compatible with the state of hydrostatic equilibrium. This conclusion is drawn on the basis of the finding that the $M-R$ relation gives the necessary and sufficient condition for dynamical stability of equilibrium configurations only when the compatibility criterion for these configurations is appropriately satisfied. In this regard, we construct an appropriate sequence composed of core-envelope models on the basis of compatibility criterion, such that each member of this sequence satisfies the extreme case of causality condition $v = c = 1$ at the centre. The maximum stable value of $u \simeq 0.3389$ (which occurs for the model corresponding to the maximum value of mass in the mass-radius relation) and the corresponding central value of the local adiabatic index, $(\Gamma_1)_0 \simeq 2.5911$, of this model are found fully consistent with those of the corresponding {\em absolute} values, $u_{\rm max} \leq 0.3406$, and $(\Gamma_1)_0 \leq 2.5946$, which impose strong constraints on these parameters of such models. In addition to this example, we also study dynamical stability of pure adiabatic polytropic configurations on the basis of variational method for the choice of the `trial function', $\xi =re^{\nu/4}$, as well as the mass-central density relation, since the compatibility criterion is appropriately satisfied for these models. The results of this example provide additional proof in favour of the statement regarding compatibility criterion mentioned above.
[{'version': 'v1', 'created': 'Thu, 1 Jun 2006 11:12:18 GMT'}]
2008-11-26
[array(['Negi', 'P. S.', ''], dtype=object)]
18,119
1911.08166
Yang Liu
Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
Finite element methods based on two families of second-order numerical formulas for the fractional Cable model with smooth solutions
24 pages, 9 figures
null
null
null
math.NA cs.NA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply two families of novel fractional $\theta$-methods, the FBT-$\theta$ and FBN-$\theta$ methods developed by the authors in previous work, to the fractional Cable model, in which the time direction is approximated by the fractional $\theta$-methods, and the space direction is approximated by the finite element method. Some positivity properties of the coefficients for both of these methods are derived, which are crucial for the proof of the stability estimates. We analyse the stability of the scheme and derive an optimal convergence result with $O(\tau^2+h^{r+1})$ for smooth solutions, where $\tau$ is the time mesh size and $h$ is the spatial mesh size. Some numerical experiments with smooth and nonsmooth solutions are conducted to confirm our theoretical analysis. To overcome the singularity at initial value, the starting part is added to restore the second-order convergence rate in time.
[{'version': 'v1', 'created': 'Tue, 19 Nov 2019 09:24:30 GMT'} {'version': 'v2', 'created': 'Wed, 10 Jun 2020 12:24:35 GMT'}]
2020-06-11
[array(['Yin', 'Baoli', ''], dtype=object) array(['Liu', 'Yang', ''], dtype=object) array(['Li', 'Hong', ''], dtype=object) array(['Zhang', 'Zhimin', ''], dtype=object)]
18,120
1812.03838
Gowtham Raghunath Kurri
Deepesh Data, Gowtham R. Kurri, Jithin Ravi, Vinod M. Prabhakaran
Interactive Secure Function Computation
30 pages. Revised based on comments from the reviewers
null
10.1109/TIT.2020.2980789
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider interactive computation of randomized functions between two users with the following privacy requirement: the interaction should not reveal to either user any extra information about the other user's input and output other than what can be inferred from the user's own input and output. We also consider the case where privacy is required against only one of the users. For both cases, we give single-letter expressions for feasibility and optimal rates of communication. Then we discuss the role of common randomness and interaction in both privacy settings. We also study perfectly secure non-interactive computation when only one of the users computes a randomized function based on a single transmission from the other user. We characterize randomized functions which can be perfectly securely computed in this model and obtain tight bounds on the optimal message lengths in all the privacy settings.
[{'version': 'v1', 'created': 'Mon, 10 Dec 2018 14:48:26 GMT'} {'version': 'v2', 'created': 'Sat, 28 Dec 2019 09:53:44 GMT'} {'version': 'v3', 'created': 'Mon, 9 Mar 2020 17:53:35 GMT'}]
2020-08-06
[array(['Data', 'Deepesh', ''], dtype=object) array(['Kurri', 'Gowtham R.', ''], dtype=object) array(['Ravi', 'Jithin', ''], dtype=object) array(['Prabhakaran', 'Vinod M.', ''], dtype=object)]
18,121
astro-ph/0007267
Armando Gil de Paz
A. Gil de Paz (1), J. Zamorano (1), J. Gallego (1), F. de B. Dominguez (2) ((1) Dept.Astrofisica, UCM, (2) OTRI, UC3)
Mapping the star formation history of Mrk86: I. Data and models
21 pages, 14 figures, 2 landscape tables, accepted for publication in Astronomy & Astrophysics Supplement Series, for higher resolution images see ftp://cutrex.fis.ucm.es/pub/OUT/gil/PAPERS/aa00_I.ps.gz
null
10.1051/aas:2000355
null
astro-ph
null
We have obtained optical (BVR, [OIII]5007 and Halpha), near infrared (JHK) imaging and long-slit optical spectroscopy for the Blue Compact Dwarf galaxy Mrk86 (NGC2537). In this paper, the first of two, we present optical-near- infrared colors and emission-line fluxes for the currently star-forming regions, intemediate aged starburst and underlying stellar population. We also describe the evolutionary synthesis models used in Paper II. The R and Halpha luminosity distributions of the galaxy star-forming regions show maxima at M_R=-9.5 and L_Halpha=10^37.3 erg s^-1. The underlying stellar population shows an exponential surface brigthness profile with central value, mu_E,0=21.5 mag arcsec^-2, and scale, alpha=0.88 kpc, both measured in the R-band image. In the galaxy outer regions, dominated by this component, no significant color gradients are observed. Finally, a set of evolutionary synthesis models have been developed, covering a wide range in metallicity and burst strength.
[{'version': 'v1', 'created': 'Tue, 18 Jul 2000 15:38:59 GMT'}]
2009-10-31
[array(['de Paz', 'A. Gil', '', 'Dept.Astrofisica, UCM'], dtype=object) array(['Zamorano', 'J.', '', 'Dept.Astrofisica, UCM'], dtype=object) array(['Gallego', 'J.', '', 'Dept.Astrofisica, UCM'], dtype=object) array(['Dominguez', 'F. de B.', '', 'OTRI, UC3'], dtype=object)]
18,122
1109.6821
Jean Van Schaftingen
Jean Van Schaftingen
Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem
5 pages
Amer. Math. Monthly 120 (2013), no. 8, 737-742
10.4169/amer.math.monthly.120.08.737
null
math.RA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I propose a proof of the existence of the existence of eigenvectors and eigenvalues in the spirit of Argand's proof of the fundamental theorem of algebra. The proof only relies on Weierstrass's theorem, the definition of the inverse of a linear operator and algebraic identities.
[{'version': 'v1', 'created': 'Thu, 29 Sep 2011 07:33:29 GMT'}]
2013-07-10
[array(['Van Schaftingen', 'Jean', ''], dtype=object)]
18,123
1709.10038
Hyungsik Roger Moon
Khai X. Chiong, Hyungsik Roger Moon
Estimation of Graphical Models using the $L_{1,2}$ Norm
null
null
null
null
econ.EM stat.ME
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Gaussian graphical models are recently used in economics to obtain networks of dependence among agents. A widely-used estimator is the Graphical Lasso (GLASSO), which amounts to a maximum likelihood estimation regularized using the $L_{1,1}$ matrix norm on the precision matrix $\Omega$. The $L_{1,1}$ norm is a lasso penalty that controls for sparsity, or the number of zeros in $\Omega$. We propose a new estimator called Structured Graphical Lasso (SGLASSO) that uses the $L_{1,2}$ mixed norm. The use of the $L_{1,2}$ penalty controls for the structure of the sparsity in $\Omega$. We show that when the network size is fixed, SGLASSO is asymptotically equivalent to an infeasible GLASSO problem which prioritizes the sparsity-recovery of high-degree nodes. Monte Carlo simulation shows that SGLASSO outperforms GLASSO in terms of estimating the overall precision matrix and in terms of estimating the structure of the graphical model. In an empirical illustration using a classic firms' investment dataset, we obtain a network of firms' dependence that exhibits the core-periphery structure, with General Motors, General Electric and U.S. Steel forming the core group of firms.
[{'version': 'v1', 'created': 'Thu, 28 Sep 2017 16:15:30 GMT'} {'version': 'v2', 'created': 'Sun, 1 Oct 2017 21:32:41 GMT'}]
2017-10-03
[array(['Chiong', 'Khai X.', ''], dtype=object) array(['Moon', 'Hyungsik Roger', ''], dtype=object)]
18,124
1912.01825
Lars Ruthotto
Lars Ruthotto, Stanley Osher, Wuchen Li, Levon Nurbekyan, Samy Wu Fung
A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems
21 pages, 13 figures, 2 table
null
10.1073/pnas.1922204117
null
cs.LG cs.NA math.NA math.OC stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Mean field games (MFG) and mean field control (MFC) are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents. Their areas of application span topics in economics, finance, game theory, industrial engineering, crowd motion, and more. In this paper, we provide a flexible machine learning framework for the numerical solution of potential MFG and MFC models. State-of-the-art numerical methods for solving such problems utilize spatial discretization that leads to a curse-of-dimensionality. We approximately solve high-dimensional problems by combining Lagrangian and Eulerian viewpoints and leveraging recent advances from machine learning. More precisely, we work with a Lagrangian formulation of the problem and enforce the underlying Hamilton-Jacobi-Bellman (HJB) equation that is derived from the Eulerian formulation. Finally, a tailored neural network parameterization of the MFG/MFC solution helps us avoid any spatial discretization. Our numerical results include the approximate solution of 100-dimensional instances of optimal transport and crowd motion problems on a standard work station and a validation using an Eulerian solver in two dimensions. These results open the door to much-anticipated applications of MFG and MFC models that were beyond reach with existing numerical methods.
[{'version': 'v1', 'created': 'Wed, 4 Dec 2019 06:59:59 GMT'} {'version': 'v2', 'created': 'Wed, 18 Dec 2019 18:41:41 GMT'} {'version': 'v3', 'created': 'Sat, 15 Feb 2020 01:15:01 GMT'}]
2022-06-08
[array(['Ruthotto', 'Lars', ''], dtype=object) array(['Osher', 'Stanley', ''], dtype=object) array(['Li', 'Wuchen', ''], dtype=object) array(['Nurbekyan', 'Levon', ''], dtype=object) array(['Fung', 'Samy Wu', ''], dtype=object)]
18,125
2006.01159
Kate Alexander
Kate D. Alexander (Northwestern/CIERA, NASA Einstein Fellow), Sjoert van Velzen (NYU), Assaf Horesh (Racah Institute), B. Ashley Zauderer (NSF, DARK)
Radio Properties of Tidal Disruption Events
Resubmitted for publication in Springer Space Science Reviews following referee comments. Chapter in ISSI review "The Tidal Disruption of Stars by Massive Black Holes" vol. 79. Table 2 is available in machine-readable format upon request
null
10.1007/s11214-020-00702-w
null
astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Radio observations of tidal disruption events (TDEs) probe material ejected by the disruption of stars by supermassive black holes (SMBHs), uniquely tracing the formation and evolution of jets and outflows, revealing details of the disruption hydrodynamics, and illuminating the environments around previously-dormant SMBHs. To date, observations reveal a surprisingly diverse population. A small fraction of TDEs (at most a few percent) have been observed to produce radio-luminous mildly relativistic jets. The remainder of the population are radio quiet, producing less luminous jets, non-relativistic outflows or, possibly, no radio emission at all. Here, we review the radio observations that have been made of TDEs to date and discuss possible explanations for their properties, focusing on detected sources and, in particular, on the two best-studied events: Sw J1644+57 and ASASSN-14li. We also discuss what we have learned about the host galaxies of TDEs from radio observations and review constraints on the rates of bright and faint radio outflows in TDEs. Upcoming X-ray, optical, near-IR, and radio surveys will greatly expand the sample of TDEs, and technological advances open the exciting possibility of discovering a sample of TDEs in the radio band unbiased by host galaxy extinction.
[{'version': 'v1', 'created': 'Mon, 1 Jun 2020 18:00:14 GMT'}]
2020-07-08
[array(['Alexander', 'Kate D.', '', 'Northwestern/CIERA, NASA Einstein Fellow'], dtype=object) array(['van Velzen', 'Sjoert', '', 'NYU'], dtype=object) array(['Horesh', 'Assaf', '', 'Racah Institute'], dtype=object) array(['Zauderer', 'B. Ashley', '', 'NSF,\n DARK'], dtype=object)]
18,126
2003.06935
Christoph Kawan
Christoph Kawan
Control of chaos with minimal information transfer
null
null
null
null
math.OC math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper studies set-invariance and stabilization of hyperbolic sets over rate-limited channels for discrete-time control systems. We first investigate structural and control-theoretic properties of hyperbolic sets, in particular such that arise by adding small control terms to uncontrolled systems admitting (classical) hyperbolic sets. Then we derive a lower bound on the invariance entropy of a hyperbolic set in terms of the difference between the unstable volume growth rate and the measure-theoretic fiber entropy of associated random dynamical systems. We also prove that our lower bound is tight in two extreme cases. Furthermore, we apply our techniques to the problem of local uniform stabilization to a hyperbolic set. Finally, we discuss an example built on the H\'enon horseshoe.
[{'version': 'v1', 'created': 'Sun, 15 Mar 2020 21:56:58 GMT'} {'version': 'v2', 'created': 'Wed, 8 Jul 2020 09:36:12 GMT'} {'version': 'v3', 'created': 'Sun, 26 Jul 2020 08:03:50 GMT'} {'version': 'v4', 'created': 'Wed, 19 May 2021 07:11:09 GMT'}]
2021-05-20
[array(['Kawan', 'Christoph', ''], dtype=object)]
18,127
1209.5088
Lazhar Dhaouadi
Lazhar Dhaouadi, Saidani Islem and Hedi Elmonser
$q$-Bessel Fourier Transform and Variation Diminishing kernel
null
null
null
null
math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we study the variation diminishing kernel as a part of the $q$-calculus. We introduce the $q$-Macdonald function a newborne in the family of the $q$-special functions which play a central role in this study.
[{'version': 'v1', 'created': 'Sun, 23 Sep 2012 17:12:37 GMT'} {'version': 'v2', 'created': 'Mon, 29 Oct 2012 18:02:06 GMT'} {'version': 'v3', 'created': 'Tue, 22 Oct 2019 08:44:16 GMT'} {'version': 'v4', 'created': 'Thu, 30 Apr 2020 09:51:15 GMT'}]
2020-05-01
[array(['Dhaouadi', 'Lazhar', ''], dtype=object) array(['Islem', 'Saidani', ''], dtype=object) array(['Elmonser', 'Hedi', ''], dtype=object)]
18,128
physics/0606096
Michael Scalora
Michael Scalora, Giuseppe D'Aguanno, Neset Akozbek, Marco Centini, Domenico de Ceglia, Mirko Cappeddu, Nadia Mattiucci, Joseph W. Haus, Mark J. Bloemer
Negative refraction and sub-wavelength imaging using transparent metal-dielectric stacks
null
null
10.1364/OE.15.000508
null
physics.optics
null
Negative refraction is known to occur in materials that simultaneously possess a negative electric permittivity and magnetic permeability; hence they are termed negative index materials. However, there are no known natural materials that exhibit a negative index of refraction. In large part, interest in these materials is due to speculation that they could be used as perfect lenses with superresolution. We propose a new way of achieving negative refraction with currently available technology, based on transparent, metallo-dielectric multilayer structures. The advantage of these structures is that both tunability and transmission (well above 50%) can be achieved in the visible wavelength regime. We demonstrate both negative refraction and superresolution in these structures. Our findings point to a simpler way to fabricate a material that exhibits negative refraction. This opens up an entirely new path not only for negative refraction, but also to expand the exploration of wave propagation effects in metals.
[{'version': 'v1', 'created': 'Sun, 11 Jun 2006 21:05:08 GMT'} {'version': 'v2', 'created': 'Sat, 15 Jul 2006 11:22:23 GMT'}]
2015-06-26
[array(['Scalora', 'Michael', ''], dtype=object) array(["D'Aguanno", 'Giuseppe', ''], dtype=object) array(['Akozbek', 'Neset', ''], dtype=object) array(['Centini', 'Marco', ''], dtype=object) array(['de Ceglia', 'Domenico', ''], dtype=object) array(['Cappeddu', 'Mirko', ''], dtype=object) array(['Mattiucci', 'Nadia', ''], dtype=object) array(['Haus', 'Joseph W.', ''], dtype=object) array(['Bloemer', 'Mark J.', ''], dtype=object)]
18,129
1012.1746
Benjamin Reinhard
Jens Neu, Bernd Krolla, Oliver Paul, Benjamin Reinhard, Ren\'e Beigang, Marco Rahm
Metamaterial-based gradient index lens with strong focusing in the THz frequency range
6 pages, 4 figures
Optics Express 18, 27748-27757 (2010)
10.1364/OE.18.027748
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The development of innovative terahertz (THz) imaging systems has recently moved in the focus of scientific efforts due to the ability to screen substances through textiles or plastics. The invention of THz imaging systems with high spatial resolution is of increasing interest for applications in the realms of quality control, spectroscopy in dusty environment and security inspections. One of the main restrictions of current THz imaging systems is the low spatial resolution which is limited by a lack of THz lenses with strong focusing capabilities. Here we present the design, fabrication and the measurement of the optical properties of spectrally broadband metamaterial-based gradient index (GRIN) lenses that allow one to focus THz radiation to a spot diameter smaller than the wavelength. Due to the subwavelength thickness and the high focusing strength the presented GRIN lenses are an important step towards compact THz imaging systems with strongly improved spatial resolution.
[{'version': 'v1', 'created': 'Wed, 8 Dec 2010 12:00:47 GMT'}]
2010-12-21
[array(['Neu', 'Jens', ''], dtype=object) array(['Krolla', 'Bernd', ''], dtype=object) array(['Paul', 'Oliver', ''], dtype=object) array(['Reinhard', 'Benjamin', ''], dtype=object) array(['Beigang', 'René', ''], dtype=object) array(['Rahm', 'Marco', ''], dtype=object)]
18,130
math/0509229
Jens Wirth
Jens Wirth
Modified scattering for a wave equation with weak dissipation
7 pages
null
null
null
math.AP math.CA
null
We consider the Cauchy problem for the weakly dissipative wave equation $$ \square u+\frac\mu{1+t} u_t=0 $$ with parameter $\mu\ge2$. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; {\bf 27}:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory.
[{'version': 'v1', 'created': 'Sat, 10 Sep 2005 06:19:01 GMT'}]
2007-05-23
[array(['Wirth', 'Jens', ''], dtype=object)]
18,131
1605.02342
Alvar Daza
Alvar Daza, Alexandre Wagemakers, Bertrand Georgeot, David Gu\'ery-Odelin, Miguel A.F. Sanju\'an
Basin entropy: a new tool to analyze uncertainty in dynamical systems
The supplementary information of this article can be found in: http://www.nature.com/article-assets/npg/srep/2016/160812/srep31416/extref/srep31416-s1.pdf
Scientific Reports, 6, 31416, 2016
10.1038/srep31416
null
nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In nonlinear dynamics, basins of attraction link a given set of initial conditions to its corresponding final states. This notion appears in a broad range of applications where several outcomes are possible, which is a common situation in neuroscience, economy, astronomy, ecology and many other disciplines. Depending on the nature of the basins, prediction can be difficult even in systems that evolve under deterministic rules. From this respect, a proper classification of this unpredictability is clearly required. To address this issue, we introduce the basin entropy, a measure to quantify this uncertainty. Its application is illustrated with several paradigmatic examples that allow us to identify the ingredients that hinder the prediction of the final state. The basin entropy provides an efficient method to probe the behavior of a system when different parameters are varied. Additionally, we provide a sufficient condition for the existence of fractal basin boundaries: when the basin entropy of the boundaries is larger than $\log 2 $, the basin is fractal.
[{'version': 'v1', 'created': 'Sun, 8 May 2016 17:40:40 GMT'} {'version': 'v2', 'created': 'Tue, 30 Aug 2016 12:29:28 GMT'} {'version': 'v3', 'created': 'Thu, 1 Sep 2016 09:37:30 GMT'}]
2016-09-02
[array(['Daza', 'Alvar', ''], dtype=object) array(['Wagemakers', 'Alexandre', ''], dtype=object) array(['Georgeot', 'Bertrand', ''], dtype=object) array(['Guéry-Odelin', 'David', ''], dtype=object) array(['Sanjuán', 'Miguel A. F.', ''], dtype=object)]
18,132
2209.11463
Kathl\'en Kohn
Adrian Becedas, Kathl\'en Kohn, Lorenzo Venturello
Voronoi diagrams of algebraic varieties under polyhedral norms
null
null
null
null
math.AG math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties, we count their full-dimensional Voronoi cells. As an application, we consider the polyhedral Wasserstein distance between discrete probability distributions.
[{'version': 'v1', 'created': 'Fri, 23 Sep 2022 08:01:06 GMT'}]
2022-09-26
[array(['Becedas', 'Adrian', ''], dtype=object) array(['Kohn', 'Kathlén', ''], dtype=object) array(['Venturello', 'Lorenzo', ''], dtype=object)]
18,133
cond-mat/0001223
Yves-Patrick Pellgerini
Yves-Patrick Pellegrini and Marc Barthelemy
Self-Consistent Effective-Medium Approximations with Path Integrals
18 pages, 6 eps figures
Physical Review E 61, 3547 (2000)
10.1103/PhysRevE.61.3547
null
cond-mat.mtrl-sci cond-mat.dis-nn
null
We study effective-medium approximations for linear composite media by means of a path integral formalism with replicas. We show how to recover the Bruggeman and Hori-Yonezawa effective-medium formulas. Using a replica-coupling ansatz, these formulas are extended into new ones which have the same percolation thresholds as that of the Bethe lattice and Potts model of percolation, and critical exponents s=0 and t=2 in any space dimension d>= 2. Like the Bruggeman and Hori-Yonezawa formulas, the new formulas are exact to second order in the weak-contrast and dilute limits. The dimensional range of validity of the four effective-medium formulas is discussed, and it is argued that the new ones are of better relevance than the classical ones in dimensions d=3,4 for systems obeying the Nodes-Links-Blobs picture, such as random-resistor networks.
[{'version': 'v1', 'created': 'Mon, 17 Jan 2000 11:25:59 GMT'}]
2008-04-17
[array(['Pellegrini', 'Yves-Patrick', ''], dtype=object) array(['Barthelemy', 'Marc', ''], dtype=object)]
18,134
1405.6791
Vitaly Feldman
Vitaly Feldman and Pravesh Kothari
Agnostic Learning of Disjunctions on Symmetric Distributions
null
null
null
null
cs.LG cs.CC cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the problem of approximating and learning disjunctions (or equivalently, conjunctions) on symmetric distributions over $\{0,1\}^n$. Symmetric distributions are distributions whose PDF is invariant under any permutation of the variables. We give a simple proof that for every symmetric distribution $\mathcal{D}$, there exists a set of $n^{O(\log{(1/\epsilon)})}$ functions $\mathcal{S}$, such that for every disjunction $c$, there is function $p$, expressible as a linear combination of functions in $\mathcal{S}$, such that $p$ $\epsilon$-approximates $c$ in $\ell_1$ distance on $\mathcal{D}$ or $\mathbf{E}_{x \sim \mathcal{D}}[ |c(x)-p(x)|] \leq \epsilon$. This directly gives an agnostic learning algorithm for disjunctions on symmetric distributions that runs in time $n^{O( \log{(1/\epsilon)})}$. The best known previous bound is $n^{O(1/\epsilon^4)}$ and follows from approximation of the more general class of halfspaces (Wimmer, 2010). We also show that there exists a symmetric distribution $\mathcal{D}$, such that the minimum degree of a polynomial that $1/3$-approximates the disjunction of all $n$ variables is $\ell_1$ distance on $\mathcal{D}$ is $\Omega( \sqrt{n})$. Therefore the learning result above cannot be achieved via $\ell_1$-regression with a polynomial basis used in most other agnostic learning algorithms. Our technique also gives a simple proof that for any product distribution $\mathcal{D}$ and every disjunction $c$, there exists a polynomial $p$ of degree $O(\log{(1/\epsilon)})$ such that $p$ $\epsilon$-approximates $c$ in $\ell_1$ distance on $\mathcal{D}$. This was first proved by Blais et al. (2008) via a more involved argument.
[{'version': 'v1', 'created': 'Tue, 27 May 2014 05:33:19 GMT'} {'version': 'v2', 'created': 'Mon, 25 May 2015 21:58:56 GMT'}]
2015-05-27
[array(['Feldman', 'Vitaly', ''], dtype=object) array(['Kothari', 'Pravesh', ''], dtype=object)]
18,135
1701.02252
Hans-Thomas Elze
Hans-Thomas Elze
Quantum models as classical cellular automata
11 pages; based on invited talks at Testing Quantum Gravity (Torino, May 2016) and IARD 2016 (Ljubljana, June 2016), to appear in JPCS. arXiv admin note: text overlap with arXiv:1604.06652
Journal of Physics: Conf. Series 845 (2017) 012022
10.1088/1742-6596/845/1/012022
null
quant-ph math-ph math.MP nlin.CG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A synopsis is offered of the properties of discrete and integer-valued, hence "natural", cellular automata (CA). A particular class comprises the "Hamiltonian CA" with discrete updating rules that resemble Hamilton's equations. The resulting dynamics is linear like the unitary evolution described by the Schr\"odinger equation. Employing Shannon's Sampling Theorem, we construct an invertible map between such CA and continuous quantum mechanical models which incorporate a fundamental discreteness scale $l$. Consequently, there is a one-to-one correspondence of quantum mechanical and CA conservation laws. We discuss the important issue of linearity, recalling that nonlinearities imply nonlocal effects in the continuous quantum mechanical description of intrinsically local discrete CA - requiring locality entails linearity. The admissible CA observables and the existence of solutions of the $l$-dependent dispersion relation for stationary states are mentioned, besides the construction of multipartite CA obeying the Superposition Principle. We point out problems when trying to match the deterministic CA here to those envisioned in 't Hooft's CA Interpretation of Quantum Mechanics.
[{'version': 'v1', 'created': 'Mon, 9 Jan 2017 16:50:04 GMT'}]
2017-06-06
[array(['Elze', 'Hans-Thomas', ''], dtype=object)]
18,136
1001.3227
Jozef Smak I.
J. Smak
On the mass transfer rate in SS Cyg
7 pages, 1 figure. submitted to Acta Astronomica
Acta Astronomica, 60, 83-89, 2010
null
null
astro-ph.SR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The mass transfer rate in SS Cyg at quiescence, estimated from the observed luminosity of the hot spot, is log\dotM_tr=16.8+/-0.3. This is safely below the critical mass transfer rates of log\dotM_crit=18.1 (corresponding to logT^o_crit=3.88) or log\dotM_crit=17.2 (corresponding to the "revised value of logT^o_crit=3.65). The mass transfer rate during outbursts is strongly enhanced.
[{'version': 'v1', 'created': 'Tue, 19 Jan 2010 08:54:30 GMT'}]
2010-04-12
[array(['Smak', 'J.', ''], dtype=object)]
18,137
1207.5672
Gyorgy Dosa
Gyorgy Dosa and Zsolt Tuza
Bin Packing/Covering with Delivery: Some variations, theoretical results and efficient offline algorithms
16 pages
null
null
null
cs.DS cs.DM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the recent paper \cite{BDT10} we introduced a new problem that we call Bin Packing/Covering with Delivery, or BP/CD for short. Mainly we mean under this expression that we look for not only a good, but a "good and fast" packing or covering. In that paper we mainly dealt with only one possible online BP/CD model, and proposed a new method that we call the Evolution of Algorithms. In case of such methods a neighborhood structure is defined among algorithms, and using a metaheuristic (for example simulated annealing) in some sense the best algorithm is chosen to solve the problem. Now we turn to investigate the offline case. We define several ways to treat such a BP/CD problem, although we investigate only one of them here. For the analysis, a novel view on "offline optimum" is introduced, which appears to be relevant concerning all problems where a final solution is ordering-dependent. We prove that if the item sizes are not allowed to be arbitrarily close to zero, then an optimal offline solution can be found in polynomial time. On the other hand, for unrestricted problem instances, no polynomial-time algorithm can achieve an approximation ratio better than 6/7 if $P\ne NP$.
[{'version': 'v1', 'created': 'Tue, 24 Jul 2012 12:11:36 GMT'}]
2015-03-20
[array(['Dosa', 'Gyorgy', ''], dtype=object) array(['Tuza', 'Zsolt', ''], dtype=object)]
18,138
0904.0012
Paul Koerber
Paul Koerber
Coisotropic D-branes on AdS4 x CP3 and massive deformations
24 pages, 1 figure, v2: due to a serious mistake the claims of the paper had to be corrected
JHEP 0909:008,2009
10.1088/1126-6708/2009/09/008
MPP-2009-35
hep-th math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We scan for massive type IIA SU(3)-structure compactifications of the type AdS4 x CP3 with internal symmetry group SO(4). This group acts on CP3 with cohomogeneity one, so that one would expect new non-homogeneous solutions. We find however that all such solutions enhance their symmetry group to Sp(2) and form, in fact, the homogeneous family first described in arXiv:0712.1396. This is in accordance with arXiv:0901.0969, which argues from the CFT-side that although new vacua with SO(4) symmetry group and N=2 supersymmetry should exist, they fall outside our ansatz of strict SU(3)-structure, and instead have genuine SU(3)x SU(3)-structure. We do find that the SO(4)-invariant description, which singles out one preferential direction in the internal space, is well-adapted for describing the embedding of AdS4-filling supersymmetric D8-branes on both the original ABJM configuration as its massive Sp(2)-symmetric deformations.Supersymmetry requires these D-branes to be of the coisotropic type, which means in particular that their world-volume gauge field must be non-trivial.
[{'version': 'v1', 'created': 'Wed, 1 Apr 2009 14:51:12 GMT'} {'version': 'v2', 'created': 'Fri, 5 Jun 2009 13:43:24 GMT'}]
2009-09-28
[array(['Koerber', 'Paul', ''], dtype=object)]
18,139
0907.4611
Theodoros Gaitanos
V. Prassa, T. Gaitanos, G. Ferini, M. Di Toro, G.A. Lalazissis, H.H. Wolter
Isospin Effects on Strangeness in Heavy-Ion Collisions
15 papes, 5 figures. Accepted for publication in Nuclear Physics
Nucl.Phys.A832:88-99,2010
10.1016/j.nuclphysa.2009.11.009
null
nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Kaon properties are studied within the framework of a fully covariant transport approach. The kaon-nucleon potential is evaluated in two schemes, a chiral perturbative approach and an effective One-Boson-Exchange model. Isospin effects are explicitly accounted for in both models. The transport calculations indicate a significant sensitivity of momentum distributions and total yields of $K^{0,+}$ isospin states on the choice of the kaon-nucleon interaction. Furthermore, isospin effects are rather moderate on absolute kaon yields, but appear on strangeness ratios. This is an important issue in determining the high density symmetry energy from studies of strangeness production in heavy-ion collisions.
[{'version': 'v1', 'created': 'Mon, 27 Jul 2009 12:14:19 GMT'} {'version': 'v2', 'created': 'Tue, 10 Nov 2009 10:22:26 GMT'}]
2010-01-15
[array(['Prassa', 'V.', ''], dtype=object) array(['Gaitanos', 'T.', ''], dtype=object) array(['Ferini', 'G.', ''], dtype=object) array(['Di Toro', 'M.', ''], dtype=object) array(['Lalazissis', 'G. A.', ''], dtype=object) array(['Wolter', 'H. H.', ''], dtype=object)]
18,140
2003.09588
Eric Lescano
Eric Lescano and Nahuel Mir\'on-Granese
On the phase space in Double Field Theory
33 pages. Published version
J. High Energ. Phys. 2020, 239 (2020)
10.1007/JHEP07(2020)239
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a model of (double) kinetic theory which paves the way to describe matter in a Double Field Theory background. Generalized diffeomorphisms acting on double phase space tensors are introduced. The generalized covariant derivative is replaced by a generalized Liouville operator as it happens in relativistic kinetic theory. The section condition is consistently extended and the closure of the generalized transformations is still given by the C-bracket. In this context we propose a generalized Boltzmann equation and compute the moments of the latter, obtaining an expression for the generalized energy-momentum tensor and its conservation law.
[{'version': 'v1', 'created': 'Sat, 21 Mar 2020 06:15:55 GMT'} {'version': 'v2', 'created': 'Fri, 19 Jun 2020 17:39:34 GMT'} {'version': 'v3', 'created': 'Sun, 23 Aug 2020 01:58:25 GMT'}]
2020-08-25
[array(['Lescano', 'Eric', ''], dtype=object) array(['Mirón-Granese', 'Nahuel', ''], dtype=object)]
18,141
0810.1034
Afshin Shafiee Dr.
Afshin Shafiee, Abouzar Massoudi and Mohammad Bahrami
On A New Formulation of Micro-phenomena: The Double-slit Experiment
17 pages, 6 figures and 1 appendix
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Based on the novel view that a micro-entity could be considered as a particle associated with a field partaking of the energy of particle which are both described by deterministic causal equations of motion, we examine the success of our new theory in elucidating the underlying physics of the double-slit experiment. Here, we explain with clear details how each micro-particle scatters from one of the slits at a given time. After the scattering through one of the slits, the particle shares some of its energy with its surrounding field and a particle-field system is again formed which its motion is governed by a deterministic dynamics during its flight towards the detecting screen. The interference pattern is then explained by showing how the final location of each particle-field system at the time of reaching the detecting screen is distributed according to an angular distribution (equal to the what quantum theory predicts for the fringe effects in a two-slit experiment). The probabilistic nature of such a distribution can be explained by considering the variations of the kinetic energy of the particle-field system at different local situations.
[{'version': 'v1', 'created': 'Mon, 6 Oct 2008 18:25:36 GMT'}]
2008-10-07
[array(['Shafiee', 'Afshin', ''], dtype=object) array(['Massoudi', 'Abouzar', ''], dtype=object) array(['Bahrami', 'Mohammad', ''], dtype=object)]
18,142
0807.3428
Sergei Maydanyuk
Sergei P. Maydanyuk (Institute for Nuclear Research, National Academy of Sciences of Ukraine)
Bremsstrahlung during $\alpha$-decay: quantum multipolar model
38 pages, 6 file of figure in EPS format
null
null
null
nucl-th hep-ph nucl-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper the improved multipolar model of bremsstrahlung accompanied the $\alpha$-decay is presented. The angular formalism of calculations of the matrix elements, being enough complicated component of the model, is stated in details. A new definition of the angular (differential) probability of the photon emission in the $\alpha$-decay is proposed where direction of motion of the $\alpha$-particle outside (with its tunneling inside barrier) is defined on the basis of angular distribution of its spacial wave function. In such approach, the model gives values of the angular probability of the photons emission in absolute scale, without its normalization on experimental data. Effectiveness of the proposed definition and accuracy of the spectra calculations of the bremsstrahlung spectra are analyzed in their comparison with experimental data for the $^{210}{\rm Po}$, $^{214}{\rm Po}$, $^{226}{\rm Ra}$ and $^{244}{\rm Cm}$ nuclei, and for some other nuclei predictions are performed (in absolute scale). With a purpose to find characteristics taking influence on the bremsstrahlung probability strongly, a dependence of the bremsstrahlung probability on effective charge of the decaying system is analyzed. As a natural result, as supposed type of decaying system the emission of proton from nucleus is studied, for which the effective charge is essentially larger in a comparison with $\alpha$-decay. For some proton emitters estimations of the bremsstrahlung probability are obtained (at first time, in fully quantum approach). Also the bremsstrahlung in fission of the $^{252}{\rm Cf}$ nucleus is analyzed.
[{'version': 'v1', 'created': 'Tue, 22 Jul 2008 09:20:41 GMT'}]
2008-07-24
[array(['Maydanyuk', 'Sergei P.', '', 'Institute for Nuclear Research, National Academy\n of Sciences of Ukraine'], dtype=object) ]
18,143
1511.00878
Christian Schneider
M. Klaas, H. Flayac, M. Amthor, I.G. Savenko, S. Brodbeck, T. Ala-Nissila, S. Klembt, C. Schneider, S. H\"ofling
Evolution of temporal coherence in confined polariton condensates
null
null
10.1103/PhysRevLett.120.017401
null
cond-mat.quant-gas
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the influence of spatial confinement on the second-order temporal coherence of the emission from a semiconductor microcavity in the strong coupling regime. The confinement, provided by etched micropillars, has a favorable impact on the temporal coherence of solid state quasi-condensates that evolve in our device above threshold. By fitting the experimental data with a microscopic quantum theory based on a quantum jump approach, we scrutinize the influence of pump power and confinement and find that phonon-mediated transitions are enhanced in the case of a confined structure, in which the modes split into a discrete set. By increasing the pump power beyond the condensation threshold, temporal coherence significantly improves in devices with increased spatial confinement, as revealed in the transition from thermal to coherent statistics of the emitted light.
[{'version': 'v1', 'created': 'Tue, 3 Nov 2015 12:28:59 GMT'} {'version': 'v2', 'created': 'Wed, 9 May 2018 17:56:45 GMT'}]
2018-10-30
[array(['Klaas', 'M.', ''], dtype=object) array(['Flayac', 'H.', ''], dtype=object) array(['Amthor', 'M.', ''], dtype=object) array(['Savenko', 'I. G.', ''], dtype=object) array(['Brodbeck', 'S.', ''], dtype=object) array(['Ala-Nissila', 'T.', ''], dtype=object) array(['Klembt', 'S.', ''], dtype=object) array(['Schneider', 'C.', ''], dtype=object) array(['Höfling', 'S.', ''], dtype=object)]
18,144
1907.09112
EPTCS
Roman Kuznets (TU Wien), Laurent Prosperi (ENS Paris-Saclay), Ulrich Schmid (TU Wien), Krisztina Fruzsa (TU Wien)
Causality and Epistemic Reasoning in Byzantine Multi-Agent Systems
In Proceedings TARK 2019, arXiv:1907.08335
EPTCS 297, 2019, pp. 293-312
10.4204/EPTCS.297.19
null
cs.MA cs.DC cs.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Causality is an important concept both for proving impossibility results and for synthesizing efficient protocols in distributed computing. For asynchronous agents communicating over unreliable channels, causality is well studied and understood. This understanding, however, relies heavily on the assumption that agents themselves are correct and reliable. We provide the first epistemic analysis of causality in the presence of byzantine agents, i.e., agents that can deviate from their protocol and, thus, cannot be relied upon. Using our new framework for epistemic reasoning in fault-tolerant multi-agent systems, we determine the byzantine analog of the causal cone and describe a communication structure, which we call a multipede, necessary for verifying preconditions for actions in this setting.
[{'version': 'v1', 'created': 'Mon, 22 Jul 2019 03:18:05 GMT'}]
2019-07-23
[array(['Kuznets', 'Roman', '', 'TU Wien'], dtype=object) array(['Prosperi', 'Laurent', '', 'ENS Paris-Saclay'], dtype=object) array(['Schmid', 'Ulrich', '', 'TU Wien'], dtype=object) array(['Fruzsa', 'Krisztina', '', 'TU Wien'], dtype=object)]
18,145
1011.6355
Marek Arendarczyk
Marek Arendarczyk, Krzysztof Debicki
Exact asymptotics of supremum of a stationary Gaussian process over a random interval
null
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $\{X(t) : t \in [0, \infty) \}$ be a centered stationary Gaussian process. We study the exact asymptotics of $\pr (\sup_{s \in [0,T]} X(t) > u)$, as $u \to \infty$, where $T$ is an independent of \{X(t)\} nonnegative random variable. It appears that the heaviness of $T$ impacts the form of the asymptotics, leading to three scenarios: the case of integrable $T$, the case of $T$ having regularly varying tail distribution with parameter $\lambda\in(0,1)$ and the case of $T$ having slowly varying tail distribution.
[{'version': 'v1', 'created': 'Mon, 29 Nov 2010 20:21:47 GMT'}]
2010-11-30
[array(['Arendarczyk', 'Marek', ''], dtype=object) array(['Debicki', 'Krzysztof', ''], dtype=object)]
18,146
2301.03663
Tuomas Takko M.Sc.
Tuomas Takko, Kunal Bhattacharya and Kimmo Kaski
Modelling exposure between populations using networks of mobility during Covid-19
Supplementary information appended to manuscript. Contents: 15+3 pages, 5+3 figures, 2+1 tables. Submitted to Frontiers in Physics, Social Physics
null
null
null
physics.soc-ph cs.SI
http://creativecommons.org/licenses/by/4.0/
The use of mobile phone call detail records and device location data for the calling patterns, movements, and social contacts of individuals, has proven to be valuable for devising models and understanding of their mobility and behaviour patterns. In this study we investigate weighted exposure-networks of human daily activities in the capital region of Finland as a proxy for contacts between postal code areas during the pre-pandemic year 2019 and pandemic years 2020, 2021 and early 2022. We investigate the suitability of gravity and radiation type models for reconstructing the exposure-networks based on geo-spatial and population mobility information. For this we use a mobile phone dataset of aggregated daily visits from a postal code area to cellphone grid locations, and treat it as a bipartite network to create weighted one mode projections using a weighted co-occurrence function. We fit a gravitation model and a radiation model to the averaged weekly and yearly projection networks with geo-spatial and socioeconomic variables of the postal code areas and their populations. We also consider an extended gravity type model comprising of additional postal area information such as distance via public transportation and population density. The results show that the co-occurrence of human activities, or exposure, between postal code areas follows both the gravity and radiation type interactions, once fitted to the empirical network. The effects of the pandemic beginning in 2020 can be observed as a decrease of the overall activity as well as of the exposure of the projected networks. In general, the results show that the postal code level networks changed to be more proximity weighted after the pandemic began, following the government imposed non-pharmaceutical interventions, with differences based on the geo-spatial and socioeconomic structure of the areas.
[{'version': 'v1', 'created': 'Mon, 9 Jan 2023 20:15:54 GMT'} {'version': 'v2', 'created': 'Mon, 17 Apr 2023 08:32:47 GMT'}]
2023-04-18
[array(['Takko', 'Tuomas', ''], dtype=object) array(['Bhattacharya', 'Kunal', ''], dtype=object) array(['Kaski', 'Kimmo', ''], dtype=object)]
18,147
2011.01100
Benjamin Donovan
Benjamin D. Donovan, Randall L. McEntaffer, Casey T. DeRoo, James H. Tutt, Fabien Gris\'e, Chad M. Eichfel, Oren Z. Gall, Vadim Burwitz, Gisela Hartner, Carlo Pelliciari, and Marlis-Madeleine La Caria
Performance Testing of a Large-Format Reflection Grating Prototype for a Suborbital Rocket Payload
25 pages, 16 figures, preprint of an article accepted for publication in the Journal of Astronomical Instrumentation \copyright 2020 [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/jai]
null
null
null
astro-ph.IM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The soft X-ray grating spectrometer on board the Off-plane Grating Rocket Experiment (OGRE) hopes to achieve the highest resolution soft X-ray spectrum of an astrophysical object when it is launched via suborbital rocket. Paramount to the success of the spectrometer are the performance of the $>250$ reflection gratings populating its reflection grating assembly. To test current grating fabrication capabilities, a grating prototype for the payload was fabricated via electron-beam lithography at The Pennsylvania State University's Materials Research Institute and was subsequently tested for performance at Max Planck Institute for Extraterrestrial Physics' PANTER X-ray Test Facility. Bayesian modeling of the resulting data via Markov chain Monte Carlo (MCMC) sampling indicated that the grating achieved the OGRE single-grating resolution requirement of $R_{g}(\lambda/\Delta\lambda)>4500$ at the 94% confidence level. The resulting $R_g$ posterior probability distribution suggests that this confidence level is likely a conservative estimate though, since only a finite $R_g$ parameter space was sampled and the model could not constrain the upper bound of $R_g$ to less than infinity. Raytrace simulations of the system found that the observed data can be reproduced with a grating performing at $R_g=\infty$. It is therefore postulated that the behavior of the obtained $R_g$ posterior probability distribution can be explained by a finite measurement limit of the system and not a finite limit on $R_g$. Implications of these results and improvements to the test setup are discussed.
[{'version': 'v1', 'created': 'Mon, 2 Nov 2020 16:34:03 GMT'}]
2020-11-03
[array(['Donovan', 'Benjamin D.', ''], dtype=object) array(['McEntaffer', 'Randall L.', ''], dtype=object) array(['DeRoo', 'Casey T.', ''], dtype=object) array(['Tutt', 'James H.', ''], dtype=object) array(['Grisé', 'Fabien', ''], dtype=object) array(['Eichfel', 'Chad M.', ''], dtype=object) array(['Gall', 'Oren Z.', ''], dtype=object) array(['Burwitz', 'Vadim', ''], dtype=object) array(['Hartner', 'Gisela', ''], dtype=object) array(['Pelliciari', 'Carlo', ''], dtype=object) array(['La Caria', 'Marlis-Madeleine', ''], dtype=object)]
18,148
1405.0810
Stephane Seuret
St\'ephane Seuret and Adri\'an Ubis
Local $L^2$-regularity of Riemann's Fourier series
21 pages, 1 figure
null
null
null
math.FA math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We are interested in the convergence and the local regularity of the lacunary Fourier series $F_s(x) = \sum_{n=1}^{+\infty} \frac{e^{2i\pi n^2 x}}{n^s}$. In the 1850's, Riemann introduced the series $F_2$ as a possible example of nowhere differentiable function, and the study of this function has drawn the interest of many mathematicians since then. We focus on the case when $1/2<s\leq 1$, and we prove that $F_s(x)$ converges when $x$ satisfies a Diophantine condition. We also study the $L^2$- local regularity of $F_s$, proving that the local $L^2$-norm of $F_s$ around a point $x$ behave differently around different $x$, according again to Diophantine conditions on $x$.
[{'version': 'v1', 'created': 'Mon, 5 May 2014 07:47:08 GMT'}]
2014-05-06
[array(['Seuret', 'Stéphane', ''], dtype=object) array(['Ubis', 'Adrián', ''], dtype=object)]
18,149
hep-ex/0509020
Minzu Wang
K. Abe, et al. (for the Belle Collaboration)
Study of Charmonium Decays into Baryon-Antibaryon Pairs
11 pagpes, 6 figures, for LP2005 and EPS2005
null
null
BELLE-CONF0534
hep-ex
null
We study the baryonic charmonium decays of $B$ mesons, $B^+ \to \eta_c K^+$ and $B^+ \to J/\psi K^+$, where $\eta_c$ and $J/\psi$ subsequently decay into a $p\bar p$ or $\Lambda\bar\Lambda$ pair. The charmonium produced in the above $B$ meson decays is fully polarized. The polar angular distributions of the baryon-antibaryon pairs are presented, along with fit results to a $1 + \alpha_B\cos^2\theta$ parametrization. Comparisons are made with the results from $e^+e^- \to J/\psi$ formation experiments. We also report the firstobservation of $\eta_c \to \Lambda\bar\Lambdar$. The measured branching fraction is ${\mathcal B}(\eta_c \to \Lambda\bar\Lambda) = (0.87^{+0.24}_{-0.21} \pm 0.14 \pm 0.27) \times 10^{-3}$. This study is based on a $357~fb^{-1}$ data sample recorded on the $\Upsilon({\rm 4S})$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider.
[{'version': 'v1', 'created': 'Fri, 16 Sep 2005 04:04:51 GMT'}]
2019-08-14
[array(['Abe', 'K.', ''], dtype=object)]
18,150
1509.04328
Neeraj Misra Kumar
Neeraj Kumar Misra, Subodh Wairya and Vinod Kumar Singh
Evolution of structure of some binary group based n bit comparator, n-to-2n decoder by reversible technique
22 pages, 19 figure, journal
International Journal of VLSI design & Communication Systems (VLSICS) Vol.5, No.5, October 2014
10.5121/vlsic.2014.5502
null
cs.ET
http://creativecommons.org/licenses/by-sa/4.0/
Reversible logic has attracted substantial interest due to its low power consumption which is the main concern of low power VLSI circuit design. In this paper, a novel 4x4 reversible gate called inventive gate has been introduced and using this gate 1-bit, 2-bit, 8-bit, 32-bit and n-bit group-based reversible comparator have been constructed with low value of reversible parameters. The MOS transistor realizations of 1-bit, 2- bit, and 8-bit of reversible comparator are also presented and finding power, delay and power delay product (PDP) with appropriate aspect ratio W/L. Novel inventive gate has the ability to use as an n-to-2n decoder. Different proposed novel reversible circuit design style is compared with the existing ones. The relative results shows that the novel reversible gate wide utility, group-based reversible comparator outperforms the present design style in terms of number of gates, garbage outputs and constant input.
[{'version': 'v1', 'created': 'Fri, 11 Sep 2015 16:06:51 GMT'}]
2015-09-16
[array(['Misra', 'Neeraj Kumar', ''], dtype=object) array(['Wairya', 'Subodh', ''], dtype=object) array(['Singh', 'Vinod Kumar', ''], dtype=object)]
18,151
astro-ph/9402041
Paul Steinhardt
J. Richard Bond, Richard L. Davis, and Paul J. Steinhardt
How Well Can Cosmological Parameters Be Estimated from CMB Observations?
9 pages, Penn Preprint UPR-0604T
Astrophys.Lett.Commun.32:53-62,1995
null
null
astro-ph gr-qc
null
The CMB anisotropy depends sensitively upon the slope and amplitude of primordial density and gravitational wave fluctuations, the baryon density, the Hubble constant, the cosmological constant, the ionization history, {\it etc.} We report on recent work showing how well multi-scale measurements of the anisotropy power spectrum can resolve these factors. We identify a hypersurface in cosmic parameter space that can be accurately localized by observations, but along which the likelihood will hardly vary. Other cosmic observations will be needed to break this degeneracy.
[{'version': 'v1', 'created': 'Wed, 16 Feb 1994 15:08:00 GMT'}]
2009-09-25
[array(['Bond', 'J. Richard', ''], dtype=object) array(['Davis', 'Richard L.', ''], dtype=object) array(['Steinhardt', 'Paul J.', ''], dtype=object)]
18,152
2305.11164
Joel Casta\~no Fern\'andez
Joel Casta\~no, Silverio Mart\'inez-Fern\'andez, Xavier Franch, Justus Bogner
Exploring the Carbon Footprint of Hugging Face's ML Models: A Repository Mining Study
null
null
null
null
cs.LG cs.CY cs.IR stat.ML
http://creativecommons.org/licenses/by/4.0/
The rise of machine learning (ML) systems has exacerbated their carbon footprint due to increased capabilities and model sizes. However, there is scarce knowledge on how the carbon footprint of ML models is actually measured, reported, and evaluated. In light of this, the paper aims to analyze the measurement of the carbon footprint of 1,417 ML models and associated datasets on Hugging Face, which is the most popular repository for pretrained ML models. The goal is to provide insights and recommendations on how to report and optimize the carbon efficiency of ML models. The study includes the first repository mining study on the Hugging Face Hub API on carbon emissions. This study seeks to answer two research questions: (1) how do ML model creators measure and report carbon emissions on Hugging Face Hub?, and (2) what aspects impact the carbon emissions of training ML models? The study yielded several key findings. These include a decreasing proportion of carbon emissions-reporting models, a slight decrease in reported carbon footprint on Hugging Face over the past 2 years, and a continued dominance of NLP as the main application domain. Furthermore, the study uncovers correlations between carbon emissions and various attributes such as model size, dataset size, and ML application domains. These results highlight the need for software measurements to improve energy reporting practices and promote carbon-efficient model development within the Hugging Face community. In response to this issue, two classifications are proposed: one for categorizing models based on their carbon emission reporting practices and another for their carbon efficiency. The aim of these classification proposals is to foster transparency and sustainable model development within the ML community.
[{'version': 'v1', 'created': 'Thu, 18 May 2023 17:52:58 GMT'}]
2023-05-19
[array(['Castaño', 'Joel', ''], dtype=object) array(['Martínez-Fernández', 'Silverio', ''], dtype=object) array(['Franch', 'Xavier', ''], dtype=object) array(['Bogner', 'Justus', ''], dtype=object)]
18,153
1706.09491
Serkant Ali Cetin
Serkant Ali \c{C}etin, Evangelos N. Gazis, Bora I\c{s}ildak, Fatih \"Omer \.Ilday, Konstantinos Kordas, Chariclia Petridou, Yannis K. Semertzidis, Saleh Sultansoy, G\"okhan \"Unel, Konstantin Zioutas
"Higgs" Factory at the Greek-Turkish Border
6 pages, 2 figures, 1 table, contribution to the Open Symposium - European Strategy Preparatory Group, 2012, Krakow, Poland
Turkish Journal of Nuclear Sciences (2018), Volume:30, Issue:1., pages:24-31
null
null
physics.acc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We would like to propose the construction of the photon collider based "Higgs factory" in the coming years at the Greek-Turkish border, starting from its test facility with a high energy photon beam. This proposal was among the contributions to the Open Symposium of the ESPG'12.
[{'version': 'v1', 'created': 'Wed, 28 Jun 2017 21:32:43 GMT'}]
2019-11-15
[array(['Çetin', 'Serkant Ali', ''], dtype=object) array(['Gazis', 'Evangelos N.', ''], dtype=object) array(['Işildak', 'Bora', ''], dtype=object) array(['İlday', 'Fatih Ömer', ''], dtype=object) array(['Kordas', 'Konstantinos', ''], dtype=object) array(['Petridou', 'Chariclia', ''], dtype=object) array(['Semertzidis', 'Yannis K.', ''], dtype=object) array(['Sultansoy', 'Saleh', ''], dtype=object) array(['Ünel', 'Gökhan', ''], dtype=object) array(['Zioutas', 'Konstantin', ''], dtype=object)]
18,154
1303.3565
Thomas K. Gaisser
Thomas K. Gaisser, Todor Stanev and Serap Tilav
Cosmic Ray Energy Spectrum from Measurements of Air Showers
11 pages, 5 figures, review for Frontiers of Physics
null
null
null
astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This review focuses on high-energy cosmic rays in the PeV energy range and above. Of particular interest is the knee of the spectrum around 3 PeV and the transition from cosmic rays of Galactic origin to particles from extra-galactic sources. Our goal is to establish a baseline spectrum from 10^14 to 10^20 eV by combining the results of many measurements at different energies. In combination with measurements of the nuclear composition of the primaries, the shape of the energy spectrum places constraints on the number and spectra of sources that may contribute to the observed spectrum.
[{'version': 'v1', 'created': 'Thu, 14 Mar 2013 19:34:01 GMT'}]
2013-03-15
[array(['Gaisser', 'Thomas K.', ''], dtype=object) array(['Stanev', 'Todor', ''], dtype=object) array(['Tilav', 'Serap', ''], dtype=object)]
18,155
cond-mat/9911310
Oleg Bulashenko
O. M. Bulashenko, J. M. Rubi, V. A. Kochelap
Self-consistent theory of shot noise in nondegenerate ballistic conductors
21 pages, 11 figs, minor changes
Phys. Rev. B 61 (2000) 5511-5529
10.1103/PhysRevB.61.5511
null
cond-mat.mes-hall
null
A self-consistent theory of shot noise in ballistic two-terminal conductors under the action of long-range Coulomb correlations is presented. Analytical formulas for the electron distribution function and its fluctuation along the conductor, which account for the Coulomb correlations, have been derived. Based upon these formulas, the current-noise reduction factor has been obtained for biases ranging from thermal to shot-noise limits as dependent on two parameters: the ratio between the length of the sample and the Debye screening length \lambda=d/L_D and the applied voltage qU/k_BT. The difference with the formulas for a vacuum diode is discussed.
[{'version': 'v1', 'created': 'Fri, 19 Nov 1999 16:16:59 GMT'} {'version': 'v2', 'created': 'Tue, 26 Sep 2000 09:23:22 GMT'}]
2009-10-31
[array(['Bulashenko', 'O. M.', ''], dtype=object) array(['Rubi', 'J. M.', ''], dtype=object) array(['Kochelap', 'V. A.', ''], dtype=object)]
18,156
1403.6041
Hannah Price
Hannah M. Price, Tomoki Ozawa and Iacopo Carusotto
Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
null
Phys. Rev. Lett. 113, 190403 (2014)
10.1103/PhysRevLett.113.190403
null
cond-mat.quant-gas cond-mat.mes-hall quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study systems directly relevant to ultracold gases and photonics. Given the exchanged roles of momentum and position, we demonstrate that the global topology of momentum space is crucially important. We propose an experiment to study the Harper-Hofstadter Hamiltonian with a harmonic trap that will illustrate the advantages of this approach and that will also constitute the first realization of magnetism on a torus.
[{'version': 'v1', 'created': 'Mon, 24 Mar 2014 17:01:50 GMT'} {'version': 'v2', 'created': 'Wed, 4 Jun 2014 12:57:04 GMT'} {'version': 'v3', 'created': 'Wed, 19 Nov 2014 16:04:41 GMT'}]
2014-11-20
[array(['Price', 'Hannah M.', ''], dtype=object) array(['Ozawa', 'Tomoki', ''], dtype=object) array(['Carusotto', 'Iacopo', ''], dtype=object)]
18,157
1306.1074
Martin Nuss
Martin Nuss and Markus Aichhorn
Effective model for electronic properties of the quasi one-dimensional purple bronze Li0.9Mo6O17 based on ab-initio calculations
14 pages, 9 figures
Phys. Rev. B 89, 045125 (2014)
10.1103/PhysRevB.89.045125
null
cond-mat.str-el cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the electronic structure of the strongly anisotropic, quasi low dimensional purple bronze Li0.9Mo6O17. Building on all-electron ab-initio band structure calculations we obtain an effective model in terms of four maximally localized Wannier orbitals, which turn out to be far from atomic like. We find two half-filled orbitals arranged in chains running along one crystallographic direction, and two full orbitals in perpendicular directions, respectively. The possibility to reduce this model to only two orbitals forming two chains per unit cell with inter-chain coupling is discussed. Transport properties of these models show high anisotropy, reproducing trends of the experimentally determined values for the dc conductivity. We also consider basic effects of electron-electron interactions using the (extended) Variational Cluster Approach and Dynamical Mean Field Theory. We find good agreement with experimental photo emission data upon adding moderate on-site interaction of the order of the band width to the ab-initio derived tight-binding Hamiltonian. The obtained models provide a profound basis for further investigations on low-energy Luttinger liquid properties or to study electronic correlations within computational many-body theory.
[{'version': 'v1', 'created': 'Wed, 5 Jun 2013 12:11:17 GMT'} {'version': 'v2', 'created': 'Mon, 20 Jan 2014 08:18:45 GMT'}]
2014-01-21
[array(['Nuss', 'Martin', ''], dtype=object) array(['Aichhorn', 'Markus', ''], dtype=object)]
18,158
2005.12304
Arun Madhav Thalapillil
Arindam Das, Diptimoy Ghosh, Carlo Giunti, and Arun Thalapillil
Neutrino charge constraints from scattering to the weak gravity conjecture to neutron stars
9 pages. Changes in exposition and additional details. Published version
Phys. Rev. D 102, 115009 (2020)
10.1103/PhysRevD.102.115009
null
hep-ph astro-ph.HE hep-ex hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In various extensions of the Standard Model of particle physics, and intriguingly even in the three-generation Standard Model without neutrino masses, neutrinos are allowed to have very tiny electric charges. After a review of the theoretical scenarios that allow the emergence of such charges, we discuss the existing observational limits and we derive new stringent direct upper bounds for the charges of the muon and tau neutrinos. We also point out a flavor-universal lower bound on neutrino charges which is obtained from the weak gravity conjecture, that is based on the hypothesis that gravity is the weakest force. We finally present a new flavor-universal upper bound on neutrino charges based on astrophysical observations of Magnetars.
[{'version': 'v1', 'created': 'Mon, 25 May 2020 18:00:18 GMT'} {'version': 'v2', 'created': 'Mon, 7 Dec 2020 18:02:43 GMT'}]
2021-01-04
[array(['Das', 'Arindam', ''], dtype=object) array(['Ghosh', 'Diptimoy', ''], dtype=object) array(['Giunti', 'Carlo', ''], dtype=object) array(['Thalapillil', 'Arun', ''], dtype=object)]
18,159
2205.04810
Lukas Edman
Lukas Edman, Antonio Toral, Gertjan van Noord
The Importance of Context in Very Low Resource Language Modeling
null
null
null
null
cs.CL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper investigates very low resource language model pretraining, when less than 100 thousand sentences are available. We find that, in very low resource scenarios, statistical n-gram language models outperform state-of-the-art neural models. Our experiments show that this is mainly due to the focus of the former on a local context. As such, we introduce three methods to improve a neural model's performance in the low-resource setting, finding that limiting the model's self-attention is the most effective one, improving on downstream tasks such as NLI and POS tagging by up to 5% for the languages we test on: English, Hindi, and Turkish.
[{'version': 'v1', 'created': 'Tue, 10 May 2022 11:19:56 GMT'}]
2022-05-11
[array(['Edman', 'Lukas', ''], dtype=object) array(['Toral', 'Antonio', ''], dtype=object) array(['van Noord', 'Gertjan', ''], dtype=object)]
18,160
1706.08296
Flor Allaert
F. Allaert (1), G. Gentile (2), M. Baes (1) ((1) Sterrenkundig Observatorium, Universiteit Gent, (2) Department of Physics and Astrophysics, Vrije Universiteit Brussel)
Testing baryon-induced core formation in $\Lambda$CDM: A comparison of the DC14 and coreNFW dark matter halo models on galaxy rotation curves
19 pages, 12 figures, accepted for publication in A&A
A&A 605, A55 (2017)
10.1051/0004-6361/201730402
null
astro-ph.GA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent cosmological hydrodynamical simulations suggest that baryonic processes, and in particular supernova feedback after bursts of star formation, can alter the structure of dark matter haloes and transform primordial cusps into shallower cores. To assess whether this mechanism offers a solution to the cusp-core controversy, simulated haloes must be compared to real dark matter haloes inferred from galaxy rotation curves. For this purpose, two new dark matter density profiles were recently derived from simulations of galaxies in complementary mass ranges: the DC14 halo ($10^{10} < M_{\text{halo}}/M_{\odot} < 8 \times 10^{11}$) and the coreNFW halo ($10^{7} < M_{\text{halo}}/M_{\odot} < 10^{9}$). Both models have individually been found to give good fits to observed rotation curves. For the DC14 model, however, the agreement of the predicted halo properties with cosmological scaling relations was confirmed by one study, but strongly refuted by another. A next question is whether the two models converge to the same solution in the mass range where both should be appropriate. To investigate this, we tested the DC14 and cNFW halo models on the rotation curves of a selection of galaxies with halo masses in the range $4 \times 10^{9}$ - $7 \times 10^{10}$ $M_{\odot}$. We further applied the DC14 model to a set of rotation curves at higher halo masses, up to $9 \times 10^{11}$ $M_{\odot}$, to verify the agreement with the cosmological scaling relations. We find that both models are generally able to reproduce the observed rotation curves, in line with earlier results, and the predicted dark matter haloes are consistent with the cosmological $c-M_{\text{halo}}$ and $M_{*}-M_{\text{halo}}$ relations. The DC14 and cNFW models are also in fairly good agreement with each other, even though DC14 tends to predict slightly less extended cores and somewhat more concentrated haloes than cNFW.
[{'version': 'v1', 'created': 'Mon, 26 Jun 2017 09:15:23 GMT'}]
2017-09-13
[array(['Allaert', 'F.', ''], dtype=object) array(['Gentile', 'G.', ''], dtype=object) array(['Baes', 'M.', ''], dtype=object)]
18,161
1204.2287
Mihail Croitoru
M. D. Croitoru, M. Houzet, and A. I. Buzdin
In-plane magnetic field anisotropy of the FFLO state in layered superconductors
null
Phys. Rev. Lett. 108, 207005 (2012)
10.1103/PhysRevLett.108.207005
null
cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
There are strong experimental evidences of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state formation in layered organic superconductors in parallel magnetic field. We study theoretically the interplay between the orbital effect and the FFLO modulation in this case and demonstrate that the in-plane critical field anisotropy drastically changes at the transition to the FFLO state. The very peculiar angular dependence of the superconducting onset temperature which is predicted may serve for unambiguous identification of the FFLO modulation. The obtained results permit us to suggest the modulated phase stabilization as the origin of the magnetic-field angle dependence of the onset of superconductivity experimentally observed in (TMTSF)$_{2}$ClO$_{4}$ organic conductors.
[{'version': 'v1', 'created': 'Tue, 10 Apr 2012 21:35:05 GMT'}]
2015-06-04
[array(['Croitoru', 'M. D.', ''], dtype=object) array(['Houzet', 'M.', ''], dtype=object) array(['Buzdin', 'A. I.', ''], dtype=object)]
18,162
1507.08066
Georges Kordopatis
G. Kordopatis, R.F.G. Wyse, G. Gilmore, A. Recio-Blanco, P. de Laverny, V. Hill, V. Adibekyan, U. Heiter, I. Minchev, B. Famaey, T. Bensby, S. Feltzing, G. Guiglion, A.J. Korn, S. Mikolaitis, A. Vallenari, A. Bayo, G. Carraro, E. Flaccomio, E. Franciosini, A. Hourihane, P. Jofre, S.E. Koposov, C. Lardo, J. Lewis, K. Lind, L. Magrini, L. Morbidelli, E. Pancino, S. Randich, G.G. Sacco, C.C. Worley, S. Zaggia
The Gaia-ESO Survey: Characterisation of the [alpha/Fe] sequences in the Milky Way discs
21 pages, 18 figures, accepted for publication in Astronomy & Astrophysics
A&A 582, A122 (2015)
10.1051/0004-6361/201526258
null
astro-ph.GA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate, using the Gaia-ESO Survey internal Data-Release 2, the properties of the double sequence of the Milky Way discs (defined chemically as the high-alpha and low-alpha populations), and discuss their compatibility with discs defined by other means such as metallicity, kinematics or positions. This investigation uses two different approaches: in velocity space for stars located in the extended Solar neighbourhood, and in chemical space for stars at different ranges of Galactocentric radii and heights from the plane. The separation we find in velocity space allows us to investigate, in a novel manner, the extent in metallicity of each of the two sequences, identifying them with the two discs, without making any assumption about the shape of their metallicity distribution functions. Then, using the separation in chemical space, we characterise the spatial variation of the slopes of the [alpha/Fe] - [Fe/H] sequences for the thick and thin discs and the way in which the relative proportions of the two discs change across the Galaxy. We find that the thick disc (high-alpha sequence), extends up to [Fe/H]~ +0.2 and the thin disc (low-alpha sequence), at least down to [Fe/H]~ -0.8. Radial and vertical gradients in alpha-abundances are found for the thin disc, with mild spatial variations in its [alpha/Fe] - [Fe/H] paths, whereas for the thick disc we do not detect any such spatial variations. The small variations in the spatial [alpha/Fe] - [Fe/H] paths of the thin disc do not allow us to distinguish between formation models of this structure. On the other hand, the lack of radial gradients and [alpha/Fe] - [Fe/H] variations for the thick disc indicate that the mechanism responsible for the mixing of the metals in the young Galaxy (e.g. radial stellar migration or turbulent gaseous disc) was more efficient before the (present) thin disc started forming.
[{'version': 'v1', 'created': 'Wed, 29 Jul 2015 08:57:53 GMT'}]
2015-10-28
[array(['Kordopatis', 'G.', ''], dtype=object) array(['Wyse', 'R. F. G.', ''], dtype=object) array(['Gilmore', 'G.', ''], dtype=object) array(['Recio-Blanco', 'A.', ''], dtype=object) array(['de Laverny', 'P.', ''], dtype=object) array(['Hill', 'V.', ''], dtype=object) array(['Adibekyan', 'V.', ''], dtype=object) array(['Heiter', 'U.', ''], dtype=object) array(['Minchev', 'I.', ''], dtype=object) array(['Famaey', 'B.', ''], dtype=object) array(['Bensby', 'T.', ''], dtype=object) array(['Feltzing', 'S.', ''], dtype=object) array(['Guiglion', 'G.', ''], dtype=object) array(['Korn', 'A. J.', ''], dtype=object) array(['Mikolaitis', 'S.', ''], dtype=object) array(['Vallenari', 'A.', ''], dtype=object) array(['Bayo', 'A.', ''], dtype=object) array(['Carraro', 'G.', ''], dtype=object) array(['Flaccomio', 'E.', ''], dtype=object) array(['Franciosini', 'E.', ''], dtype=object) array(['Hourihane', 'A.', ''], dtype=object) array(['Jofre', 'P.', ''], dtype=object) array(['Koposov', 'S. E.', ''], dtype=object) array(['Lardo', 'C.', ''], dtype=object) array(['Lewis', 'J.', ''], dtype=object) array(['Lind', 'K.', ''], dtype=object) array(['Magrini', 'L.', ''], dtype=object) array(['Morbidelli', 'L.', ''], dtype=object) array(['Pancino', 'E.', ''], dtype=object) array(['Randich', 'S.', ''], dtype=object) array(['Sacco', 'G. G.', ''], dtype=object) array(['Worley', 'C. C.', ''], dtype=object) array(['Zaggia', 'S.', ''], dtype=object)]
18,163
1311.2608
Antonio Tortora
Gustavo A. Fernandez-Alcober, Leire Legarreta, Antonio Tortora and Maria Tota
Some restrictions on normalizers or centralizers in finite p-groups
null
null
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study three restrictions on normalizers or centralizers in finite p-groups, namely: (i) |N_G(H) : H| <= p^k for every H non-normal in G, (ii) |N_G(<g>) : <g>| <= p^k for every <g> non-normal in G, and (iii) |C_G(g) : <g>| <= p^k for every <g> non-normal in G. We prove that (i) and (ii) are equivalent, and that the order of a non-Dedekind finite p-group satisfying any of these three conditions is bounded for p>2. More precisely, we get the best possible bound for the order of G in all three cases, which is |G| <= p^{2k+2}. The order of the group cannot be bounded for p=2, but we are able to identify two infinite families of 2-groups out of which |G| <= 2^{f(k)} for some function f(k) depending only on k.
[{'version': 'v1', 'created': 'Mon, 11 Nov 2013 21:16:32 GMT'}]
2013-11-13
[array(['Fernandez-Alcober', 'Gustavo A.', ''], dtype=object) array(['Legarreta', 'Leire', ''], dtype=object) array(['Tortora', 'Antonio', ''], dtype=object) array(['Tota', 'Maria', ''], dtype=object)]
18,164
hep-ph/9411284
Jean-Bruno Erismann
Pierre Chiappetta
Latest Developments on the Bess Model
17 pages,LaTeX
null
null
CPT-94/P.3075
hep-ph
null
The idea of a strongly interacting sector as responsible for the electroweak symmetry breaking is tested through an effective lagrangian description, called the BESS model, constructed on the standing point of custodial symmetry and gauge invariance, without specifing any dynamical scheme.
[{'version': 'v1', 'created': 'Mon, 14 Nov 1994 08:20:55 GMT'}]
2007-05-23
[array(['Chiappetta', 'Pierre', ''], dtype=object)]
18,165
2102.06772
Konstantinos Dovelos
Konstantinos Dovelos, Michail Matthaiou, Hien Quoc Ngo, and Boris Bellalta
Channel Estimation and Hybrid Combining for Wideband Terahertz Massive MIMO Systems
Submitted to IEEE JSAC; minor revision
null
null
null
cs.IT eess.SP math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terahertz (THz) communication is widely considered as a key enabler for future 6G wireless systems. However, THz links are subject to high propagation losses and inter-symbol interference due to the frequency selectivity of the channel. Massive multiple-input multiple-output (MIMO) along with orthogonal frequency division multiplexing (OFDM) can be used to deal with these problems. Nevertheless, when the propagation delay across the base station (BS) antenna array exceeds the symbol period, the spatial response of the BS array varies across the OFDM subcarriers. This phenomenon, known as beam squint, renders narrowband combining approaches ineffective. Additionally, channel estimation becomes challenging in the absence of combining gain during the training stage. In this work, we address the channel estimation and hybrid combining problems in wideband THz massive MIMO with uniform planar arrays. Specifically, we first introduce a low-complexity beam squint mitigation scheme based on true-time-delay. Next, we propose a novel variant of the popular orthogonal matching pursuit (OMP) algorithm to accurately estimate the channel with low training overhead. Our channel estimation and hybrid combining schemes are analyzed both theoretically and numerically. Moreover, the proposed schemes are extended to the multi-antenna user case. Simulation results are provided showcasing the performance gains offered by our design compared to standard narrowband combining and OMP-based channel estimation.
[{'version': 'v1', 'created': 'Fri, 12 Feb 2021 21:04:01 GMT'}]
2021-02-16
[array(['Dovelos', 'Konstantinos', ''], dtype=object) array(['Matthaiou', 'Michail', ''], dtype=object) array(['Ngo', 'Hien Quoc', ''], dtype=object) array(['Bellalta', 'Boris', ''], dtype=object)]
18,166
0907.2002
Eilon Solan
Dinah Rosenberg, Eilon Solan, Nicolas Vieille
On the Optimal Amount of Experimentation in Sequential Decision Problems
null
null
null
null
math.PR math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a tight bound on the amount of experimentation under the optimal strategy in sequential decision problems. We show the applicability of the result by providing a bound on the cut-off in a one-arm bandit problem.
[{'version': 'v1', 'created': 'Sun, 12 Jul 2009 04:02:19 GMT'}]
2009-07-14
[array(['Rosenberg', 'Dinah', ''], dtype=object) array(['Solan', 'Eilon', ''], dtype=object) array(['Vieille', 'Nicolas', ''], dtype=object)]
18,167
astro-ph/9811085
Pierluigi Monaco
Pierluigi Monaco (Institute of Astronomy, Cambridge, UK)
Dynamics in the cosmological mass function (or, why does the Press & Schechter work?)
12 pages, Latex, uses paspconf.sty and epsf, figures included To be published in "Observational Cosmology: The Development of Galaxy Systems", ed. Giuricin et al., ASP Conf. Ser
null
null
null
astro-ph
null
The Press & Schechter ``numerical recipe'' is briefly reviewed, together with the recently proposed dynamical mass function theory, in which the mass function is constructed by using the powerful Lagrangian perturbation theory. The dynamical mass function is found in good agreement with the recent N-body simulations of Governato et al. (1998), in the case of an Einstein-de Sitter Universe. The definition of collapse, the relation between mass and smoothing radius, and the definition of structure in 1D Universes are discussed. A detailed comparison of the dynamical mass function to simulations reveals that the orbit-crossed regions in the simulation are correctly reproduced, while the fragmentation of the collapsed medium into structures cannot be done in a univocal way. Finally, we try to answer the question: why the hell does the Press & Schechter work?
[{'version': 'v1', 'created': 'Wed, 4 Nov 1998 20:22:05 GMT'}]
2007-05-23
[array(['Monaco', 'Pierluigi', '', 'Institute of Astronomy, Cambridge, UK'], dtype=object) ]
18,168
1405.4488
Hugo Luiz Mariano
Hugo Luiz Mariano, Andr\'es Villaveces, Pedro Hernan Zambrano
A global approach to AECs
10 pages
null
null
null
math.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we present some general categorial ideas on Abstract Elementary Classes (AECs) %\cite{She}, inspired by the totality of AECs of the form $(Mod(T), \preceq)$, for a first-order theory T: (i) we define a natural notion of (funtorial) morphism between AECs; (ii) explore the following constructions of AECs: "generalized" theories, pullbacks of AECs, (Galois) types as AECs; (iii) apply categorial and topological ideas to encode model-theoretic notions on spaces of types %(see Michael Lieberman Phd thesis) ; (iv) present the "local" axiom for AECs here called "local Robinson's property" and an application (Robinson's diagram method); (v) introduce the category $AEC$ of Grothendieck's gluings of all AECs (with change of basis); (vi) introduce the "global" axioms of "tranversal Robinson's property" (TRP) and "global Robinson's property" (GRP) and prove that TRP is equivalent to GRP and GRP entails a natural version of Craig interpolation property.
[{'version': 'v1', 'created': 'Sun, 18 May 2014 10:49:51 GMT'}]
2014-05-20
[array(['Mariano', 'Hugo Luiz', ''], dtype=object) array(['Villaveces', 'Andrés', ''], dtype=object) array(['Zambrano', 'Pedro Hernan', ''], dtype=object)]
18,169
1912.04738
Hanyuan Hang
Hanyuan Hang, Zhouchen Lin, Xiaoyu Liu, Hongwei Wen
Histogram Transform Ensembles for Large-scale Regression
arXiv admin note: text overlap with arXiv:1911.11581
null
null
null
stat.ML cs.LG math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a novel algorithm for large-scale regression problems named histogram transform ensembles (HTE), composed of random rotations, stretchings, and translations. First of all, we investigate the theoretical properties of HTE when the regression function lies in the H\"{o}lder space $C^{k,\alpha}$, $k \in \mathbb{N}_0$, $\alpha \in (0,1]$. In the case that $k=0, 1$, we adopt the constant regressors and develop the na\"{i}ve histogram transforms (NHT). Within the space $C^{0,\alpha}$, although almost optimal convergence rates can be derived for both single and ensemble NHT, we fail to show the benefits of ensembles over single estimators theoretically. In contrast, in the subspace $C^{1,\alpha}$, we prove that if $d \geq 2(1+\alpha)/\alpha$, the lower bound of the convergence rates for single NHT turns out to be worse than the upper bound of the convergence rates for ensemble NHT. In the other case when $k \geq 2$, the NHT may no longer be appropriate in predicting smoother regression functions. Instead, we apply kernel histogram transforms (KHT) equipped with smoother regressors such as support vector machines (SVMs), and it turns out that both single and ensemble KHT enjoy almost optimal convergence rates. Then we validate the above theoretical results by numerical experiments. On the one hand, simulations are conducted to elucidate that ensemble NHT outperform single NHT. On the other hand, the effects of bin sizes on accuracy of both NHT and KHT also accord with theoretical analysis. Last but not least, in the real-data experiments, comparisons between the ensemble KHT, equipped with adaptive histogram transforms, and other state-of-the-art large-scale regression estimators verify the effectiveness and accuracy of our algorithm.
[{'version': 'v1', 'created': 'Sun, 8 Dec 2019 16:39:02 GMT'}]
2019-12-11
[array(['Hang', 'Hanyuan', ''], dtype=object) array(['Lin', 'Zhouchen', ''], dtype=object) array(['Liu', 'Xiaoyu', ''], dtype=object) array(['Wen', 'Hongwei', ''], dtype=object)]
18,170
1304.6152
Rodrigo de Lamare
Jingjing Liu, Peng Li and Rodrigo C. de Lamare
Iterative Detection and Decoding for MIMO Systems with Knowledge-Aided Message Passing Algorithms
3 figures. Asilomar 2012
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we consider the problem of iterative detection and decoding (IDD) for multi-antenna systems using low-density parity-check (LDPC) codes. The proposed IDD system consists of a soft-input soft-output parallel interference (PIC) cancellation scheme with linear minimum mean-square error (MMSE) receive filters and two novel belief propagation (BP) decoding algorithms. The proposed BP algorithms exploit the knowledge of short cycles in the graph structure and the reweighting factors derived from the hypergraph's expansion. Simulation results show that when used to perform IDD for multi-antenna systems both proposed BP decoding algorithms can consistently outperform existing BP techniques with a small number of decoding iterations.
[{'version': 'v1', 'created': 'Tue, 23 Apr 2013 02:43:36 GMT'}]
2013-04-24
[array(['Liu', 'Jingjing', ''], dtype=object) array(['Li', 'Peng', ''], dtype=object) array(['de Lamare', 'Rodrigo C.', ''], dtype=object)]
18,171
2304.01781
Marek Eli\'a\v{s}
Antonios Antoniadis and Christian Coester and Marek Eli\'a\v{s} and Adam Polak and Bertrand Simon
Mixing predictions for online metric algorithms
null
null
null
null
cs.LG cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A major technique in learning-augmented online algorithms is combining multiple algorithms or predictors. Since the performance of each predictor may vary over time, it is desirable to use not the single best predictor as a benchmark, but rather a dynamic combination which follows different predictors at different times. We design algorithms that combine predictions and are competitive against such dynamic combinations for a wide class of online problems, namely, metrical task systems. Against the best (in hindsight) unconstrained combination of $\ell$ predictors, we obtain a competitive ratio of $O(\ell^2)$, and show that this is best possible. However, for a benchmark with slightly constrained number of switches between different predictors, we can get a $(1+\epsilon)$-competitive algorithm. Moreover, our algorithms can be adapted to access predictors in a bandit-like fashion, querying only one predictor at a time. An unexpected implication of one of our lower bounds is a new structural insight about covering formulations for the $k$-server problem.
[{'version': 'v1', 'created': 'Tue, 4 Apr 2023 13:18:00 GMT'}]
2023-04-05
[array(['Antoniadis', 'Antonios', ''], dtype=object) array(['Coester', 'Christian', ''], dtype=object) array(['Eliáš', 'Marek', ''], dtype=object) array(['Polak', 'Adam', ''], dtype=object) array(['Simon', 'Bertrand', ''], dtype=object)]
18,172
2107.09943
Zheng Sun
Zhenhuan Li, Zheng Sun
Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
9 pages; v2: typos, JHEP pre-publication version
JHEP 10 (2021) 170
10.1007/JHEP10(2021)170
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Counterexample models to the Nelson-Seiberg theorem have been discovered, and their features have been studied in previous literature. All currently known counterexamples have generic superpotentials respecting the R-symmetry, and more R-charge 2 fields than R-charge 0 fields. But they give supersymmetric vacua with spontaneous R-symmetry breaking, thus violate both the Nelson-Seiberg theorem and its revisions. This work proves that the other type of counterexamples do not exist. When there is no R-symmetry, or there are no more R-charge 2 fields than R-charge 0 fields in models with R-symmetries, generic superpotentials always give supersymmetric vacua. There exists no specific arrangement of R-charges or non-R symmetry representations which makes a counterexample with a supersymmetry breaking vacuum. This nonexistence theorem contributes to a refined classification of R-symmetric Wess-Zumino models.
[{'version': 'v1', 'created': 'Wed, 21 Jul 2021 08:37:55 GMT'} {'version': 'v2', 'created': 'Wed, 27 Oct 2021 08:35:51 GMT'}]
2021-10-28
[array(['Li', 'Zhenhuan', ''], dtype=object) array(['Sun', 'Zheng', ''], dtype=object)]
18,173
1708.09489
Yusuke Maeda
Tatsuya Fukuyama, Sho Nakama, Yusuke T. Maeda
Thermal Molecular Focusing: Tunable Cross Effect of Phoresis and Advection
5 pages, 4 figures, and 8 pages for supplemental materials
Soft Matter 14, 5519-5524 (2018)
10.1039/C8SM00754C
null
cond-mat.soft physics.flu-dyn
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The control of solute fluxes through either microscopic phoresis or hydrodynamic advection is a fundamental way to transport molecules, which are ubiquitously present in nature and technology. We study the transport of large solute such as DNA driven by a time-dependent thermal field in a polymer solution. Heat propagation of a single heat spot moving back and forth gives rise to the molecular focusing of DNA with frequency-tunable control. We developed a theoretical model, where heat conduction, viscoelastic expansion of walls, and the viscosity gradient of a smaller solute are coupled, and that can explain the underlying hydrodynamic focusing and its interplay with phoretic transports. This cross effect may allow one to design a unique miniaturized pump in microfluidics.
[{'version': 'v1', 'created': 'Wed, 30 Aug 2017 22:12:23 GMT'} {'version': 'v2', 'created': 'Tue, 26 Sep 2017 14:52:58 GMT'}]
2021-09-29
[array(['Fukuyama', 'Tatsuya', ''], dtype=object) array(['Nakama', 'Sho', ''], dtype=object) array(['Maeda', 'Yusuke T.', ''], dtype=object)]
18,174
2102.07130
K.P. Krishnaraj
K. P. Krishnaraj
Emergence of preferred subnetwork for correlated transport in spatial networks: On the ubiquity of force chains in dense disordered granular materials
Includes Supplemental Material
null
null
null
cond-mat.soft cond-mat.dis-nn nlin.PS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Stress in dense granular materials and other athermal particle aggregates is transmitted through a visually striking subnetwork of interparticle contacts, the filamentary segments of which are referred to as force chains. The emergence of such preferred subnetwork in structurally disordered media with constituents interacting primarily by physical contact is not fully understood. In this work, we study locally correlated transport in Random Geometric Graphs (RGGs), and show the spontaneous emergence of preferred subnetwork. Our findings reveal that, despite structural disorder, system spanning localization of fluxes transmitted through a spatial network can emerge from short ranged correlations. The spatial and statistical features of the subnetwork are surprisingly similar to the strong force network in simulated grain assemblies, and provides insights on the structure and spatial scale of significance of the force chains.
[{'version': 'v1', 'created': 'Sun, 14 Feb 2021 11:25:43 GMT'}]
2021-02-16
[array(['Krishnaraj', 'K. P.', ''], dtype=object)]
18,175
math/0602149
Josephine Yu
Peter Huggins, Bernd Sturmfels, Josephine Yu, Debbie Yuster
The Hyperdeterminant and Triangulations of the 4-Cube
30 pages, 6 figures; An author's name changed, typos fixed
Mathematics of Computation 77 (2008), no. 263, 1653--1679
10.1090/S0025-5718-08-02073-5
null
math.CO math.AG
null
The hyperdeterminant of format 2 x 2 x 2 x 2 is a polynomial of degree 24 in 16 unknowns which has 2894276 terms. We compute the Newton polytope of this polynomial and the secondary polytope of the 4-cube. The 87959448 regular triangulations of the 4-cube are classified into 25448 D-equivalence classes, one for each vertex of the Newton polytope. The 4-cube has 80876 coarsest regular subdivisions, one for each facet of the secondary polytope, but only 268 of them come from the hyperdeterminant.
[{'version': 'v1', 'created': 'Wed, 8 Feb 2006 04:22:24 GMT'} {'version': 'v2', 'created': 'Tue, 3 Oct 2006 16:40:08 GMT'}]
2015-06-26
[array(['Huggins', 'Peter', ''], dtype=object) array(['Sturmfels', 'Bernd', ''], dtype=object) array(['Yu', 'Josephine', ''], dtype=object) array(['Yuster', 'Debbie', ''], dtype=object)]
18,176
0802.4053
Bill Poirier
Corey Trahan and Bill Poirier
Reconciling Semiclassical and Bohmian Mechanics: III. Scattering states for continuous potentials
16 pages and 14 figures
C. Trahan and B. Poirier, J. Chem. Phys. 124, 034116 (2006)
10.1063/1.2145923
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a previous paper [J. Chem. Phys. 121 4501 (2004)] a unique bipolar decomposition, Psi = Psi1 + Psi2 was presented for stationary bound states Psi of the one-dimensional Schroedinger equation, such that the components Psi1 and Psi2 approach their semiclassical WKB analogs in the large action limit. The corresponding bipolar quantum trajectories, as defined in the usual Bohmian mechanical formulation, are classical-like and well-behaved, even when Psi has many nodes, or is wildly oscillatory. A modification for discontinuous potential stationary stattering states was presented in a second paper [J. Chem. Phys. 124 034115 (2006)], whose generalization for continuous potentials is given here. The result is an exact quantum scattering methodology using classical trajectories. For additional convenience in handling the tunneling case, a constant velocity trajectory version is also developed.
[{'version': 'v1', 'created': 'Wed, 27 Feb 2008 19:59:16 GMT'}]
2009-11-13
[array(['Trahan', 'Corey', ''], dtype=object) array(['Poirier', 'Bill', ''], dtype=object)]
18,177
0902.0682
Andrew Meulenberg Jr.
K. P. Sinha and A. Meulenberg
Radiative-field quantum-coupling between closely-spaced surfaces
10 pages, 5 figures; extension of work reported in arXiv:cond-mat/0606184 with a new section on computational analysis and results; submitted to JRSE
null
null
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A quantum-mechanical formulation of energy transfer between closely-spaced surfaces is given. Coupling between the two surfaces arises from the atomic dipole-dipole interaction involving transverse-photon exchange. The exchange of photons at resonance greatly enhances the radiation transfer. The spacing (distance) dependence is derived for the quantum well - quantum well situation. The interaction between two planar quantum wells, separated by a gap is found to be proportional to the 4th power of the wavelength-to-gapwidth ratio and to the radiation tunneling factor for the evanescent waves. Expressions for the net power transfer, in the near-field regime, from hot to cold surface for this case is given and evaluated for representative materials. Computational modeling of selected, but realizable, emitter and detector structures and materials shows the benefits of both near-field and resonance coupling (e.g., with 0.1 micron gaps).
[{'version': 'v1', 'created': 'Wed, 4 Feb 2009 11:16:05 GMT'}]
2009-08-10
[array(['Sinha', 'K. P.', ''], dtype=object) array(['Meulenberg', 'A.', ''], dtype=object)]
18,178
1105.0699
Andreas Baldi
Morteza Zahedi, Ali Reza Manashty
Robust Sign Language Recognition System Using ToF Depth Cameras
6 Pages
World of Computer Science and Information Technology Journal (WCSIT), Vol. 1, No. 3, 50-55, 2011
null
null
cs.MM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sign language recognition is a difficult task, yet required for many applications in real-time speed. Using RGB cameras for recognition of sign languages is not very successful in practical situations and accurate 3D imaging requires expensive and complex instruments. With introduction of Time-of-Flight (ToF) depth cameras in recent years, it has become easier to scan the environment for accurate, yet fast depth images of the objects without the need of any extra calibrating object. In this paper, a robust system for sign language recognition using ToF depth cameras is presented for converting the recorded signs to a standard and portable XML sign language named SiGML for easy transferring and converting to real-time 3D virtual characters animations. Feature extraction using moments and classification using nearest neighbor classifier are used to track hand gestures and significant result of 100% is achieved for the proposed approach.
[{'version': 'v1', 'created': 'Tue, 3 May 2011 21:57:18 GMT'}]
2011-05-05
[array(['Zahedi', 'Morteza', ''], dtype=object) array(['Manashty', 'Ali Reza', ''], dtype=object)]
18,179
2306.15232
Lea Gassab
Lea Gassab, Onur Pusuluk and \"Ozg\"ur E. M\"ustecapl{\i}o\u{g}lu
Geometrical optimization of spin clusters for the preservation of quantum coherence
null
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the influence of geometry on the preservation of quantum coherence in spin clusters subjected to a thermal environment. Assuming weak inter-spin coupling, we explore the various buffer network configurations that can be embedded in a plane. Our findings reveal that the connectivity of the buffer network is crucial in determining the preservation duration of quantum coherence in an individual central spin. Specifically, we observe that the maximal planar graph yields the longest preservation time for a given number of buffer spins. Interestingly, our results demonstrate that the preservation time does not consistently increase with an increasing number of buffer spins. Employing a quantum master equation in our simulations, we further demonstrate that a tetrahedral geometry comprising a four-spin buffer network provides optimal protection against environmental effects.
[{'version': 'v1', 'created': 'Tue, 27 Jun 2023 06:16:44 GMT'}]
2023-06-28
[array(['Gassab', 'Lea', ''], dtype=object) array(['Pusuluk', 'Onur', ''], dtype=object) array(['Müstecaplıoğlu', 'Özgür E.', ''], dtype=object)]
18,180
1203.6384
Sachith Dissanayake
S. E. Dissanayake, C. Chan, S. Ji, J. Lee, Y. Qiu, K. C. Rule, B. Lake, M. Green, M. Hagihala, X. G. Zheng, T. K. Ng, S.-H. Lee
Magnetic field-induced instability of the cooperative paramagnetic state in Zn$_x$Co$_{4-x}$(OD)$_6$Cl$_2$
5 pages, 4 figures, 1 table
Phys. Rev. B 85, 174435 (2012)
10.1103/PhysRevB.85.174435
null
cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using elastic and inelastic neutron scattering techniques with and without application of an external magnetic field $H$, the magnetic ground states of Zn$_x$Co$_{4-x}$(OD)$_6$Cl$_2$ ($x=0,1$) were studied. Our results show that for $x=0$, the ground state is a magnetic long-range ordered (LRO) state where each tetrahedron forms an "umbrella"-type structure. On the other hand, for $x=1$, no static ordering was observed down to 1.5 K, which resembles the behavior found in the isostructural quantum system Zn$_x$Cu$_{4-x}$(OD)$_6$Cl$_2$. When $H$ field is applied, however the $x=1$ system develops the same LRO state as $x=0$. This indicates that the $x=1$ disordered state is in the vicinity of the $x=0$ ordered state.
[{'version': 'v1', 'created': 'Wed, 28 Mar 2012 21:27:45 GMT'}]
2016-01-29
[array(['Dissanayake', 'S. E.', ''], dtype=object) array(['Chan', 'C.', ''], dtype=object) array(['Ji', 'S.', ''], dtype=object) array(['Lee', 'J.', ''], dtype=object) array(['Qiu', 'Y.', ''], dtype=object) array(['Rule', 'K. C.', ''], dtype=object) array(['Lake', 'B.', ''], dtype=object) array(['Green', 'M.', ''], dtype=object) array(['Hagihala', 'M.', ''], dtype=object) array(['Zheng', 'X. G.', ''], dtype=object) array(['Ng', 'T. K.', ''], dtype=object) array(['Lee', 'S. -H.', ''], dtype=object)]
18,181
0805.0701
Otmar Stahl
O. Stahl, G. Wade, V. Petit, B. Stober, L. Schanne
Long-term monitoring of theta1 OriC: the spectroscopic orbit and an improved rotational period
13 pages, 6 figures, accepted for publication in A&A
null
10.1051/0004-6361:200809935
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The young O-type star theta1 OriC, the brightest star of the Trapezium cluster in Orion, is one of only two known magnetic rotators among the O stars. However, not all spectroscopic variations of this star can be explained by the magnetic rotator model. We present results from a long-term monitoring to study these unexplained variations and to improve the stellar rotational period. We want to study long-term trends of the radial velocity of theta1 OriC, to search for unusual changes, to improve the established rotational period and to check for possible period changes. We combine a large set of published spectroscopic data with new observations and analyze the spectra in a homogeneous way. We study the radial velocity from selected photo-spheric lines and determine the equivalent width of the Halpha and HeII4686 lines. We find evidence for a secular change of the radial velocity of theta1 OriC that is consistent with the published interferometric orbit. We refine the rotational period of theta1 OriC and discuss the possibility of detecting period changes in the near future.
[{'version': 'v1', 'created': 'Tue, 6 May 2008 11:40:32 GMT'} {'version': 'v2', 'created': 'Fri, 13 Jun 2008 11:01:42 GMT'}]
2009-11-13
[array(['Stahl', 'O.', ''], dtype=object) array(['Wade', 'G.', ''], dtype=object) array(['Petit', 'V.', ''], dtype=object) array(['Stober', 'B.', ''], dtype=object) array(['Schanne', 'L.', ''], dtype=object)]
18,182
1605.03003
John Imbrie
John Z Imbrie
Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
5 pages, 1 figure. To appear in Phys. Rev. Lett
Phys. Rev. Lett. 117, 027201 (2016)
10.1103/PhysRevLett.117.027201
null
math-ph cond-mat.dis-nn math.MP math.SP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of eigenvalues. In a KAM-style construction, a sequence of local unitary transformations is used to diagonalize the Hamiltonian by deforming the initial tensor product basis into a complete set of exact many-body eigenfunctions.
[{'version': 'v1', 'created': 'Tue, 10 May 2016 13:30:56 GMT'}]
2016-07-07
[array(['Imbrie', 'John Z', ''], dtype=object)]
18,183
2301.13673
Devojyoti Kansabanik Kansabanik
Devojyoti Kansabanik, Surajit Mondal, Divya Oberoi, Puja Majee
Space Weather Research using Spectropolarimetric Radio Imaging Combined With Aditya-L1 and PUNCH Missions
Conference proceedings, The 21st Cambridge Workshop on Cool Stars, Stellar Systems, and the Sun (CS21)(7 pages, 4 figures)
null
10.5281/zenodo.7586149
null
astro-ph.SR astro-ph.IM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Low-frequency radio observations have been expected to serve as a powerful tool for Space Weather (SW) observations for decades. Radio observations are sensitive to a wide range of SW-related observations ranging from emissions from coronal mass ejections (CMEs) to the solar wind. Ground-based radio observatories allow one gathering of high-sensitivity data at high time and spectral resolution for an extended period, which remains a challenge for most space-based observatories. While radio techniques like Interplanetary Scintillation (IPS) are well established, radio imaging studies have remained technically challenging. This is now changing with the confluence of data from instruments, like the Murchison Widefield Array (MWA), and robust unsupervised analysis pipelines. This pipeline delivers full Stokes radio images with unprecedented fidelity and dynamic range. This will serve as a powerful tool for coronal and heliospheric studies. We present the recent developments and achievements to measure the magnetic fields of the CME plasma and shock front at coronal heights and also share the current status of the objective to measure the heliospheric Faraday rotation towards numerous background linearly polarised radio sources with the Sun in the field of view. We envision that in the coming years, the availability of new-generation radio instruments combined with the Aditya-L1 and PUNCH mission will mark the start of a new era in Space Weather modeling and prediction.
[{'version': 'v1', 'created': 'Tue, 31 Jan 2023 14:45:18 GMT'}]
2023-02-01
[array(['Kansabanik', 'Devojyoti', ''], dtype=object) array(['Mondal', 'Surajit', ''], dtype=object) array(['Oberoi', 'Divya', ''], dtype=object) array(['Majee', 'Puja', ''], dtype=object)]
18,184
2105.02948
Mariano Su\'arez-\'Alvarez
Mariano Su\'arez-\'Alvarez
A simple homological characterization of string algebras of finite representation type
13 pages, 4 figures
null
null
null
math.RT math.KT
http://creativecommons.org/licenses/by-sa/4.0/
We prove that among the finite dimensional algebras of finite representation type those that are string algebras are precisely the ones that have the property that the middle term of an arbitrary extension of indecomposable modules has at most two direct factors. On the other hand, we show that non-domestic string algebras are very far from having that property.
[{'version': 'v1', 'created': 'Thu, 6 May 2021 20:57:36 GMT'}]
2021-05-10
[array(['Suárez-Álvarez', 'Mariano', ''], dtype=object)]
18,185
1610.06921
Yao Shen
Yao Shen and Yu-Zhu Chen
Optical Properties of Synthetic Cannabinoids with Negative Indexes
13 pages, 8 figures
null
10.1007/s11433-017-9042-5
null
physics.chem-ph physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Some kinds of psychoactive drugs have the structures which are called split-ring resonators (SRRs). SRRs might result in negative permittivity and permeability simultaneously in electromagnetic field. Simultaneous negative indexes can lead to the famous phenomenon of negative refraction. This optical property makes it possible to distinguish synthetic cannabinoids from other abusive psychoactive drugs in the UV-vis region. This optical method is non-damaged and superior in forensic science. In this paper, we use tight-binding model calculating the permittivity and permeability of the main ingredients of synthetic cannabinoids. At the same time, we give two more results of zolpidem and caffeine. Further we discuss the negative refraction of the category of zepam qualitatively.
[{'version': 'v1', 'created': 'Fri, 21 Oct 2016 04:17:08 GMT'}]
2017-05-29
[array(['Shen', 'Yao', ''], dtype=object) array(['Chen', 'Yu-Zhu', ''], dtype=object)]
18,186
hep-ph/0012046
Kang Sin Kyu
Sin Kyu Kang and C. S. Kim
Majorana Neutrino Masses and Neutrino Oscillations
14 pages, RevTex
Phys.Rev. D63 (2001) 113010
10.1103/PhysRevD.63.113010
null
hep-ph
null
We examine some patterns of Majorana neutrino mass matrix which is compatible with the phenomenological lepton flavor mixing matrix and non-observation of neutrinoless double beta decay. Imposing $(M_{\nu})_{ee}=0$ for the Majorana neutrino mass matrix in the leading order, we obtain a relationship between the solar mixing angle and the neutrino masses $m_1$ and $m_2$. Additional possible texture zeros are assigned to the mass matrix so as for the nonvanishing $\theta_{13}$ to be predictable in terms of neutrino masses. We also show how three neutrino masses can be predicted from the solar mixing angle and the experimental results of $\Delta m^2_{sol}$ and $\Delta m^2_{atm}$ in this framework, and we discuss naturality of the forms of the mass matrix found in our work.
[{'version': 'v1', 'created': 'Tue, 5 Dec 2000 10:22:09 GMT'}]
2009-10-31
[array(['Kang', 'Sin Kyu', ''], dtype=object) array(['Kim', 'C. S.', ''], dtype=object)]
18,187
2109.13608
Jakub Zakrzewski
Piotr Sierant and Jakub Zakrzewski
Challenges to observation of many-body localization
Author accepted version to appear in PRB
Phys. Rev. B 105, 224203 (2022)
10.1103/PhysRevB.105.224203
null
cond-mat.dis-nn cond-mat.quant-gas cond-mat.stat-mech quant-ph
http://creativecommons.org/licenses/by/4.0/
We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of many-body localization (MBL), a phenomenon that is expected to freeze the dynamics of the system and prevent it from reaching thermal equilibrium. Performing extensive numerical simulations of the imbalance, a quantity often employed in the experimental studies of MBL, we show that the regime of a slow power-law decay of imbalance persists to disorder strengths exceeding by at least a factor of 2 the current estimates of the critical disorder strength for MBL. Even though we investigate time evolution up to few thousands tunneling times, we observe no signs of the saturation of imbalance that would suggest freezing of system dynamics and provide a smoking gun evidence of MBL. We demonstrate that the situation is qualitatively different when the disorder is replaced by a quasiperiodic potential. In this case, we observe an emergence of a pattern of oscillations of the imbalance that is stable with respect to changes in the system size. This suggests that the dynamics of quasiperiodic systems remain fully local at the longest time scales we reach provided that the quasiperiodic potential is sufficiently strong. Our study identifies challenges in an unequivocal experimental observation of the phenomenon of MBL.
[{'version': 'v1', 'created': 'Tue, 28 Sep 2021 10:48:00 GMT'} {'version': 'v2', 'created': 'Fri, 4 Feb 2022 10:20:19 GMT'} {'version': 'v3', 'created': 'Sun, 5 Jun 2022 12:29:43 GMT'}]
2022-08-02
[array(['Sierant', 'Piotr', ''], dtype=object) array(['Zakrzewski', 'Jakub', ''], dtype=object)]
18,188
1601.06757
John Malcolm
John D. Malcolm and Elisabeth J. Nicol
Frequency-dependent polarizability, plasmons, and screening in the 2D pseudospin-1 dice lattice
Revised version correcting an error; 8 pages, 8 figures; Submitted for publication in PRB
Phys. Rev. B 93, 165433 (2016)
10.1103/PhysRevB.93.165433
null
cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We calculate the dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing a Dirac-cone plus flat-band dispersion. Due to the presence of the flat band, the polarizability shows key differences to that of graphene (the pseudospin-1/2 Dirac material). We find that the plasmon branch is pinched in to a single point, $\omega_p=q=\mu$, independent of the background dielectric constant. Finally, screening effects are discussed with regard to impurities.
[{'version': 'v1', 'created': 'Mon, 25 Jan 2016 20:29:49 GMT'} {'version': 'v2', 'created': 'Fri, 11 Mar 2016 22:52:10 GMT'}]
2016-05-04
[array(['Malcolm', 'John D.', ''], dtype=object) array(['Nicol', 'Elisabeth J.', ''], dtype=object)]
18,189
1307.7106
Matthew Tucker-Simmons
Ulrich Kraehmer and Matthew Tucker-Simmons
On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces
25 pages
null
null
null
math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quantizing the Dolbeault-Dirac operator associated to the canonical spin^c structure.
[{'version': 'v1', 'created': 'Fri, 26 Jul 2013 17:29:12 GMT'} {'version': 'v2', 'created': 'Sun, 21 Dec 2014 19:41:37 GMT'}]
2014-12-23
[array(['Kraehmer', 'Ulrich', ''], dtype=object) array(['Tucker-Simmons', 'Matthew', ''], dtype=object)]
18,190
1605.05033
Ikuko Hamamoto
Ikuko Hamamoto
Shell-structure of one-particle resonances in deformed potentials
16 pages and 3 figures
Phys. Rev. C93, 054328 (2016)
10.1103/PhysRevC.93.054328
null
nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Shell structure of low-lying neutron resonant levels in axially-symmetric quadrupole-deformed potentials is discussed, which seems analogous to that of weakly-bound neutrons. As numerical examples, nuclei slightly outside the neutron-drip-line, $^{39}_{12}$Mg$_{27}$ and $^{21}_{6}$C$_{15}$, are studied. For the lowest resonance I obtain $I^{\pi}$ = $\Omega^{\pi}$ = 5/2$^{-}$ for $^{39}$Mg which is likely to be prolately deformed, while $I^{\pi}$ = $\Omega^{\pi}$ = 1/2$^{+}$ may be assigned to the nucleus $^{21}$C which may be oblately deformed. Consequently, $^{21}$C will not be observed as a recognizable resonant state, in agreement with the experimental information.
[{'version': 'v1', 'created': 'Tue, 17 May 2016 06:48:07 GMT'}]
2016-06-22
[array(['Hamamoto', 'Ikuko', ''], dtype=object)]
18,191
1006.2585
Alexander Roitershtein
Iddo Ben-Ari, Anastasios Matzavinos, and Alexander Roitershtein
On a species survival model
null
null
null
null
math.PR q-bio.PE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we provide some sharp asymptotic results for a stochastic model of species survival recently proposed by Guiol, Marchado, and Schinazi.
[{'version': 'v1', 'created': 'Mon, 14 Jun 2010 01:27:32 GMT'}]
2010-06-15
[array(['Ben-Ari', 'Iddo', ''], dtype=object) array(['Matzavinos', 'Anastasios', ''], dtype=object) array(['Roitershtein', 'Alexander', ''], dtype=object)]
18,192
physics/0102005
R. M. Kiehn
R. M. Kiehn
Instability patterns, wakes and topological limnit sets
16 pages pdf
null
null
null
physics.flu-dyn
null
Many hydrodynamic instability patterns can be put into correspondence with a subset of characteristic surfaces of tangential discontinuities. These topological limits sets to systems of hyperbolic PDE's are locally unstable, but a certain subset associated with minimal surfaces are globally stabilized, persistent and non-dissipative. Sections of these surfaces are the spiral scrolls so often observed in hydrodynamic wakes. This method of wake production does not depend explicitly upon viscosity.
[{'version': 'v1', 'created': 'Sat, 3 Feb 2001 21:22:06 GMT'}]
2007-05-23
[array(['Kiehn', 'R. M.', ''], dtype=object)]
18,193
hep-th/9710124
Jaime Gomis
Duiliu-Emanuel Diaconescu and Jaume Gomis (Rutgers University)
Neveu-Schwarz Five-Branes And Matrix String Theory On K3
harvmac, 12 pages, some changes in the T-duality on K3 section
Phys.Lett. B426 (1998) 287-293
10.1016/S0370-2693(98)00285-8
RU-97-80
hep-th
null
The Matrix theory description of Type IIA string theory on a compact K3 surface as the theory of Neveu-Schwarz five-branes on $\tilde{K3}\times S^1$ is analyzed. The full multiplet of space-time BPS states is identified in the five-brane world-volume as fluxes.
[{'version': 'v1', 'created': 'Wed, 15 Oct 1997 21:35:13 GMT'} {'version': 'v2', 'created': 'Tue, 6 Jan 1998 17:10:08 GMT'} {'version': 'v3', 'created': 'Mon, 12 Jan 1998 18:08:13 GMT'}]
2009-10-30
[array(['Diaconescu', 'Duiliu-Emanuel', '', 'Rutgers University'], dtype=object) array(['Gomis', 'Jaume', '', 'Rutgers University'], dtype=object)]
18,194
2302.07748
Seyed Mahed Mousavi
Seyed Mahed Mousavi, Shohei Tanaka, Gabriel Roccabruna, Koichiro Yoshino, Satoshi Nakamura, Giuseppe Riccardi
Whats New? Identifying the Unfolding of New Events in Narratives
null
null
null
null
cs.CL
http://creativecommons.org/licenses/by-nc-sa/4.0/
Narratives include a rich source of events unfolding over time and context. Automatic understanding of these events provides a summarised comprehension of the narrative for further computation (such as reasoning). In this paper, we study the Information Status (IS) of the events and propose a novel challenging task: the automatic identification of \textit{new} events in a narrative. We define an event as a triplet of subject, predicate, and object. The event is categorized as new with respect to the discourse context and whether it can be inferred through commonsense reasoning. We annotated a publicly available corpus of narratives with the new events at sentence level using human annotators. We present the annotation protocol and study the quality of the annotation and the difficulty of the task. We publish the annotated dataset, annotation materials, and machine learning baseline models for the task of new event extraction for narrative understanding.
[{'version': 'v1', 'created': 'Wed, 15 Feb 2023 15:54:01 GMT'} {'version': 'v2', 'created': 'Mon, 20 Feb 2023 16:25:57 GMT'} {'version': 'v3', 'created': 'Thu, 25 May 2023 10:24:53 GMT'}]
2023-05-26
[array(['Mousavi', 'Seyed Mahed', ''], dtype=object) array(['Tanaka', 'Shohei', ''], dtype=object) array(['Roccabruna', 'Gabriel', ''], dtype=object) array(['Yoshino', 'Koichiro', ''], dtype=object) array(['Nakamura', 'Satoshi', ''], dtype=object) array(['Riccardi', 'Giuseppe', ''], dtype=object)]
18,195
2302.09341
Kai Sun
Kaiyang Huang, Min Xiong, Yang Liu, Kai Sun, Feng Qiu
A Heterogeneous Multiscale Method for Power System Simulation Considering Electromagnetic Transients
Accepted by IEEE PES General Meeting, July 16-20, 2023, Orlando, Florida
null
null
null
math.DS cs.NA cs.SY eess.SY math.NA
http://creativecommons.org/licenses/by-nc-nd/4.0/
Traditional dynamic security assessment faces challenges as power systems are experiencing a transformation to inverter-based-resource (IBR) dominated systems, for which electromagnetic transient (EMT) dynamics have to be considered. However, EMT simulation is time-consuming especially for a large power grid because the mathematical model based on detailed component modeling is highly stiff and needs to be integrated at tiny time steps due to numerical stability. This paper proposes a heterogeneous multiscale method (HMM) to address the simulation of a power system considering EMT dynamics as a multiscale problem. The method aims to accurately simulate the macroscopic dynamics of the system even when EMT dynamics are dominating. By force estimation using a kernel function, the proposed method automatically generates a macro model on the fly of simulation based on the micro model of EMT dynamics. It can flexibly switch between the micro- and macro-models to capture important EMT dynamics during some time intervals while skipping over other time intervals of less interest to achieve a superior simulation speed. The method is illustrated by a case study on a two-machine EMT model to demonstrate its potential for power system simulation.
[{'version': 'v1', 'created': 'Sat, 18 Feb 2023 14:15:04 GMT'}]
2023-02-21
[array(['Huang', 'Kaiyang', ''], dtype=object) array(['Xiong', 'Min', ''], dtype=object) array(['Liu', 'Yang', ''], dtype=object) array(['Sun', 'Kai', ''], dtype=object) array(['Qiu', 'Feng', ''], dtype=object)]
18,196
1508.00460
Artur De Araujo
Artue de Araujo
Generalized Quivers, Orthogonal and Symplectic Representations, and Hitchin-Kobayashi Correspondences
null
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review the theory of quiver bundles over a K\"ahler manifold, and then introduce the concept of generalized quiver bundles for an arbitrary reductive group G. We first study the case when G=O(V) or Sp(V), interpreting them as orthogonal (resp. symplectic) bundle representations of the symmetric quivers introduced by Derksen-Weyman. We also study supermixed quivers, which simultaneously involve both orthogonal and symplectic symmetries. Finally, we discuss Hitchin-Kobayashi correspondences for these objects.
[{'version': 'v1', 'created': 'Mon, 3 Aug 2015 15:53:14 GMT'}]
2015-08-04
[array(['de Araujo', 'Artue', ''], dtype=object)]
18,197
2202.03103
Dennis Klau
Matthias Engelbach, Dennis Klau, Jens Drawehn, Maximilien Kintz
Combining Deep Learning and Reasoning for Address Detection in Unstructured Text Documents
5 pages, 1 figure, submitted to AAAI-22 workshop CLeaR, peer reviewed
null
null
null
cs.AI cs.IR cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Extracting information from unstructured text documents is a demanding task, since these documents can have a broad variety of different layouts and a non-trivial reading order, like it is the case for multi-column documents or nested tables. Additionally, many business documents are received in paper form, meaning that the textual contents need to be digitized before further analysis. Nonetheless, automatic detection and capturing of crucial document information like the sender address would boost many companies' processing efficiency. In this work we propose a hybrid approach that combines deep learning with reasoning for finding and extracting addresses from unstructured text documents. We use a visual deep learning model to detect the boundaries of possible address regions on the scanned document images and validate these results by analyzing the containing text using domain knowledge represented as a rule based system.
[{'version': 'v1', 'created': 'Mon, 7 Feb 2022 12:32:00 GMT'}]
2022-02-08
[array(['Engelbach', 'Matthias', ''], dtype=object) array(['Klau', 'Dennis', ''], dtype=object) array(['Drawehn', 'Jens', ''], dtype=object) array(['Kintz', 'Maximilien', ''], dtype=object)]
18,198
nucl-ex/0011001
Peter Senger
C. Sturm, I. Boettcher, M. Debowski, A. Foerster, E. Grosse, P. Koczon, B. Kohlmeyer, F. Laue, M. Mang, L. Naumann, H. Oeschler, F. Puehlhofer, E. Schwab, P. Senger, Y. Shin, J. Speer, H. Stroebele, G. Surowka, F. Uhlig, A. Wagner, W. Walus
Evidence for a Soft Nuclear Equation-of-State from Kaon Production in Heavy Ion Collisions
14 pages, 2 figures, accepted for publication in Phys. Rev. Lett
Phys.Rev.Lett.86:39-42,2001
10.1103/PhysRevLett.86.39
null
nucl-ex
null
The production of pions and kaons has been measured in Au+Au collisions at beam energies from 0.6 to 1.5 AGeV with the Kaon Spectrometer at SIS/GSI. The K+ meson multiplicity per nucleon is enhanced in Au+Au collisions by factors up to 6 relative to C+C reactions whereas the corresponding pion ratio is reduced. The ratio of the K+ meson excitation functions for Au+Au and C+C collisions increases with decreasing beam energy. This behavior is expected for a soft nuclear equation-of-state.
[{'version': 'v1', 'created': 'Wed, 1 Nov 2000 11:08:43 GMT'}]
2008-11-26
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18,199
1903.04750
Wen Zhang
Wen Zhang, Bibek Paudel, Wei Zhang, Abraham Bernstein and Huajun Chen
Interaction Embeddings for Prediction and Explanation in Knowledge Graphs
This paper is accepted by WSDM2019
null
10.1145/3289600.3291014
null
cs.AI cs.CL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Knowledge graph embedding aims to learn distributed representations for entities and relations, and is proven to be effective in many applications. Crossover interactions --- bi-directional effects between entities and relations --- help select related information when predicting a new triple, but haven't been formally discussed before. In this paper, we propose CrossE, a novel knowledge graph embedding which explicitly simulates crossover interactions. It not only learns one general embedding for each entity and relation as most previous methods do, but also generates multiple triple specific embeddings for both of them, named interaction embeddings. We evaluate embeddings on typical link prediction tasks and find that CrossE achieves state-of-the-art results on complex and more challenging datasets. Furthermore, we evaluate embeddings from a new perspective --- giving explanations for predicted triples, which is important for real applications. In this work, an explanation for a triple is regarded as a reliable closed-path between the head and the tail entity. Compared to other baselines, we show experimentally that CrossE, benefiting from interaction embeddings, is more capable of generating reliable explanations to support its predictions.
[{'version': 'v1', 'created': 'Tue, 12 Mar 2019 07:12:46 GMT'}]
2019-03-13
[array(['Zhang', 'Wen', ''], dtype=object) array(['Paudel', 'Bibek', ''], dtype=object) array(['Zhang', 'Wei', ''], dtype=object) array(['Bernstein', 'Abraham', ''], dtype=object) array(['Chen', 'Huajun', ''], dtype=object)]