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1403.1428
Sergey Pulkin A
S.A. Pulkin, A. Kalinichev, V. Arnautov, S.V. Uvarova, S. Savel'eva
Nonlinear Doppler - Free comb-spectroscopy in counter-propagating fields
null
null
null
null
physics.optics physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The method of Doppler - free comb - spectroscopy for dipole transitions was proposed. The calculations for susceptibility spectrum for moving two-level atoms driving by strong counter propagating combs have been done. The used theoretical method based on the Fourier expansion of the components of density matrix on two rows on kv (v-velocity of group of atoms, k-projection of wave vector) and {\Omega} (frequency between comb components). For testing of validity of this method the direct numerical integration was done. The narrow peaks with homogeneous width arise on the background of Doppler counter. The contrast of these peaks is large for largest amplitudes of comb-components. Power broadening is increasing with increase of field amplitudes. The spectral range of absorption spectrum is determined by the spectral range of comb generator and all homogeneous lines arise simultaneously. The spectral resolution is determined by the width of homogeneously-broadening lines. The physical nature of narrow peaks is in the existence of multi-photon transitions between manifolds of quasi-energy levels arising for different groups of atoms moving with velocities that satisfy to the resonant conditions 2kv= (n+l){\Omega}, where n, l - are integers and {\Omega} - frequency difference between comb teeth.
[{'version': 'v1', 'created': 'Thu, 6 Mar 2014 12:25:46 GMT'}]
2014-03-07
[array(['Pulkin', 'S. A.', ''], dtype=object) array(['Kalinichev', 'A.', ''], dtype=object) array(['Arnautov', 'V.', ''], dtype=object) array(['Uvarova', 'S. V.', ''], dtype=object) array(["Savel'eva", 'S.', ''], dtype=object)]
4,601
1509.09080
Laurent Thomann
Pierre Germain (CIMS), Laurent Thomann (IECL)
On the high frequency limit of the LLL equation
9 pages
null
null
null
math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive heuristically an integro-differential equation, as well as a shell model, governing the dynamics of the Lowest Landau Level equation in a high frequency regime.
[{'version': 'v1', 'created': 'Wed, 30 Sep 2015 08:48:20 GMT'}]
2015-10-01
[array(['Germain', 'Pierre', '', 'CIMS'], dtype=object) array(['Thomann', 'Laurent', '', 'IECL'], dtype=object)]
4,602
1611.05515
Alexandre Deur
A. Deur
Self-interacting scalar fields at high-temperature
33 pages, 19 figures. Version published in Eur. Phys. J. C
Eur. Phys. J. C77 (2017) no.6, 412
10.1140/epjc/s10052-017-4971-x
null
hep-ph astro-ph.GA gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study two self-interacting scalar field theories in their high-temperature limit using path integrals on a lattice. We first discuss the formalism and recover known potentials to validate the method. We then discuss how these theories can model, in the high-temperature limit, the strong interaction and General Relativity. For the strong interaction, the model recovers the known phenomenology of the nearly static regime of heavy quarkonia. The model also exposes a possible origin for the emergence of the confinement scale from the approximately conformal Lagrangian. Aside from such possible insights, the main purpose of addressing the strong interaction here --given that more sophisticated approaches already exist-- is mostly to further verify the pertinence of the model in the more complex case of General Relativity for which non-perturbative methods are not as developed. The results have important implications on the nature of Dark Matter. In particular, non-perturbative effects naturally provide flat rotation curves for disk galaxies, without need for non-baryonic matter, and explain as well other observations involving Dark Matter such as cluster dynamics or the dark mass of elliptical galaxies.
[{'version': 'v1', 'created': 'Thu, 17 Nov 2016 00:20:03 GMT'} {'version': 'v2', 'created': 'Thu, 15 Jun 2017 15:37:10 GMT'}]
2017-07-11
[array(['Deur', 'A.', ''], dtype=object)]
4,603
1606.04632
Tsutomu Fukuda
T. Fukuda (for the OPERA Collaboration)
Discovery of Tau Neutrino Appearance and Recent Results from OPERA
8 pages, 5 figures, 1 table, Proceedings of LaThuile2016, the XXXth Rencontres de Physique de la Vall\'ee d'Aoste, March 6-12, 2016, La Thuile, Aosta Valley, Italy. To be published by Nuovo Cimento C
null
10.1393/ncc/i2016-16315-9
null
hep-ex physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The OPERA experiment was designed to observe ${\nu_{\mu}}$ ${\rightarrow}$ ${\nu_{\tau}}$ oscillations through ${\nu_{\tau}}$ appearance at a baseline of 730 km in the CNGS beam. Newly developed emulsion analysis technology allows to measure ${\nu_e}$, ${\nu_{\mu}}$ and ${\nu_{\tau}}$ interactions with the largest emulsion detector ever made. OPERA has detected five ${\nu_{\tau}}$ candidates, allowing to reject the background-only hypothesis at 5.1 ${\sigma}$. The parameters for standard and non-standard oscillations are measured and constrained.
[{'version': 'v1', 'created': 'Wed, 15 Jun 2016 03:32:57 GMT'}]
2019-08-13
[array(['Fukuda', 'T.', '', 'for the OPERA Collaboration'], dtype=object)]
4,604
1906.08614
Daniel Daigle
Pierrette Cassou-Nogu\`es and Daniel Daigle
Field generators in two variables and birational endomorphisms of $\mathbb{A}^2$
Published in a volume in memory of Shreeram S. Abhyankar
J. Algebra Appl., Vol. 14, 2015
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This article is a survey of two subjects: the first part is devoted to field generators in two variables, and the second to birational endomorphisms of the affine plane. Each one of these subjects originated in Abhyankar's seminar in Purdue University in the 1970s. Note that the part on field generators is more than a survey, since it contains a considerable amount of new material.
[{'version': 'v1', 'created': 'Thu, 20 Jun 2019 13:44:53 GMT'}]
2019-06-21
[array(['Cassou-Noguès', 'Pierrette', ''], dtype=object) array(['Daigle', 'Daniel', ''], dtype=object)]
4,605
1910.05981
Wenhui Chen
Wenhui Chen and Ahmad Z. Fino
Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
null
null
10.1002/mma.7223
null
math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we consider the initial boundary value problem in an exterior domain for semilinear strongly damped wave equations with power nonlinear term of the derivative-type $|u_t|^q$ or the mixed-type $|u|^p+|u_t|^q$, where $p,q>1$. On one hand, employing the Banach fixed-point theorem we prove local (in time) existence of mild solutions. On the other hand, under some conditions for initial data and the exponents of power nonlinear terms, the blow-up results are derived by applying the test function method.
[{'version': 'v1', 'created': 'Mon, 14 Oct 2019 08:33:20 GMT'}]
2021-01-21
[array(['Chen', 'Wenhui', ''], dtype=object) array(['Fino', 'Ahmad Z.', ''], dtype=object)]
4,606
1406.4127
Christoph Mordasini
C. Mordasini
Grain opacity and the bulk composition of extrasolar planets. II. An analytical model for the grain opacity in protoplanetary atmospheres
33 pages, 19 figures. Accepted to A&A. Identical to V1 except for updated references
A&A 572, A118 (2014)
10.1051/0004-6361/201423702
null
astro-ph.EP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Context. We investigate the grain opacity k_gr in the atmosphere of protoplanets. This is important for the planetary mass-radius relation since k_gr affects the H/He envelope mass of low-mass planets and the critical core mass of giant planets. Aims. The goal of this study is to derive an analytical model for k_gr. Methods. Our model is based on the comparison of the timescales of microphysical processes like grain settling in the Stokes and Epstein regime, growth by Brownian motion coagulation and differential settling, grain evaporation, and grain advection due to envelope contraction. With these timescales we derive the grain size, abundance, and opacity. Results. We find that the main growth process is differential settling. In this regime, k_gr has a simple functional form and is given as 27 Q/8 H rho in the Epstein regime and as 2 Q/H rho for Stokes drag. Grain dynamics lead to a typical radial structure of k_gr with high ISM-like values in the top layers but a strong decrease in the deeper parts where the grain-free molecular opacities take over. Conclusions. In agreement with earlier results we find that k_gr is typically much lower than in the ISM. The equations also show that a higher dust input in the top layer does not strongly increase k_gr with two important implications. First, for a formation of giant planet cores via pebbles, there could be the issue that pebbles increase the grain input high in the atmosphere due to ablation. This could potentially increase k_gr hindering giant planet formation. Our study shows that this adverse effect should not occur. Second, it means that a higher stellar [Fe/H] which presumably leads to a higher surface density of planetesimals only favors giant planet formation without being detrimental to it due to an increased k_gr. This corroborates the result that core accretion explains the increase of the giant planet frequency with [Fe/H].
[{'version': 'v1', 'created': 'Mon, 16 Jun 2014 20:00:01 GMT'} {'version': 'v2', 'created': 'Sun, 29 Jun 2014 14:08:48 GMT'}]
2014-12-10
[array(['Mordasini', 'C.', ''], dtype=object)]
4,607
1010.4602
Xiaohui Ling
Xiaohui Ling, Zhixiang Tang, Hailu Luo, Huimin Dong, Zhaoming Luo, Shuangchun Wen and Dianyuan Fan
Zitterbewegung-like effect near the Dirac point in metamaterials and photonic crystals
5 pages, 5 figures
null
null
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a physical explanation of Zitterbewegung-like effect near the zero-refractive-index point in a metamaterial slab in this paper. Between the negative and positive refractive index regions centered at the zero-refractive-index point, the transmittance spectrum distribution of the metamaterial slab is asymmetrical. When a symmetrical pulse propagates through the metamaterial slab, its transmitted spectrum becomes asymmetrical due to the asymmetry of the transmittance spectrum of the slab, leading to a transmitted pulse with an asymmetrical temporal shape. The asymmetry manifests a kind of temporally tailed oscillations, i.e., the Zitterbewegung-like effect. Further, the effect of the temporal and spatial widths of pulse, and the thickness of metamaterial slab on the tailed oscillations of the transmitted pulse has also been discussed. Our results agree well with what the other researchers obtained on the strength of relativistic quantum concepts; however, the viewpoint of our analysis is classical and irrelevant to relativistic quantum mechanics.
[{'version': 'v1', 'created': 'Fri, 22 Oct 2010 01:07:32 GMT'} {'version': 'v2', 'created': 'Tue, 26 Oct 2010 02:57:10 GMT'}]
2010-10-27
[array(['Ling', 'Xiaohui', ''], dtype=object) array(['Tang', 'Zhixiang', ''], dtype=object) array(['Luo', 'Hailu', ''], dtype=object) array(['Dong', 'Huimin', ''], dtype=object) array(['Luo', 'Zhaoming', ''], dtype=object) array(['Wen', 'Shuangchun', ''], dtype=object) array(['Fan', 'Dianyuan', ''], dtype=object)]
4,608
1007.3958
Laurent Decreusefond
Laurent Decreusefond, Jean-St\'ephane Dhersin, Pascal Moyal, Viet Chi Tran
Large graph limit for an SIR process in random network with heterogeneous connectivity
Published in at http://dx.doi.org/10.1214/11-AAP773 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2012, Vol. 22, No. 2, 541-575
10.1214/11-AAP773
IMS-AAP-AAP773
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider an SIR epidemic model propagating on a configuration model network, where the degree distribution of the vertices is given and where the edges are randomly matched. The evolution of the epidemic is summed up into three measure-valued equations that describe the degrees of the susceptible individuals and the number of edges from an infectious or removed individual to the set of susceptibles. These three degree distributions are sufficient to describe the course of the disease. The limit in large population is investigated. As a corollary, this provides a rigorous proof of the equations obtained by Volz [Mathematical Biology 56 (2008) 293--310].
[{'version': 'v1', 'created': 'Thu, 22 Jul 2010 18:21:28 GMT'} {'version': 'v2', 'created': 'Sat, 5 Feb 2011 20:56:42 GMT'} {'version': 'v3', 'created': 'Sun, 26 Jun 2011 18:48:01 GMT'} {'version': 'v4', 'created': 'Tue, 8 May 2012 05:27:40 GMT'}]
2012-05-09
[array(['Decreusefond', 'Laurent', ''], dtype=object) array(['Dhersin', 'Jean-Stéphane', ''], dtype=object) array(['Moyal', 'Pascal', ''], dtype=object) array(['Tran', 'Viet Chi', ''], dtype=object)]
4,609
2205.13997
Mycal Tucker
Mycal Tucker, Julie Shah
Prototype Based Classification from Hierarchy to Fairness
null
null
null
null
cs.LG cs.AI
http://creativecommons.org/licenses/by/4.0/
Artificial neural nets can represent and classify many types of data but are often tailored to particular applications -- e.g., for "fair" or "hierarchical" classification. Once an architecture has been selected, it is often difficult for humans to adjust models for a new task; for example, a hierarchical classifier cannot be easily transformed into a fair classifier that shields a protected field. Our contribution in this work is a new neural network architecture, the concept subspace network (CSN), which generalizes existing specialized classifiers to produce a unified model capable of learning a spectrum of multi-concept relationships. We demonstrate that CSNs reproduce state-of-the-art results in fair classification when enforcing concept independence, may be transformed into hierarchical classifiers, or even reconcile fairness and hierarchy within a single classifier. The CSN is inspired by existing prototype-based classifiers that promote interpretability.
[{'version': 'v1', 'created': 'Fri, 27 May 2022 14:21:41 GMT'}]
2022-05-30
[array(['Tucker', 'Mycal', ''], dtype=object) array(['Shah', 'Julie', ''], dtype=object)]
4,610
2103.13752
Francesco Zanini
Francesco Zanini and Alessandro Chiuso
Estimating Koopman operators for nonlinear dynamical systems: a nonparametric approach
Pre-print submitted for 19th IFAC Symposium, System Identification: learning models for decision and control
null
null
null
cs.LG
http://creativecommons.org/licenses/by/4.0/
The Koopman operator is a mathematical tool that allows for a linear description of non-linear systems, but working in infinite dimensional spaces. Dynamic Mode Decomposition and Extended Dynamic Mode Decomposition are amongst the most popular finite dimensional approximation. In this paper we capture their core essence as a dual version of the same framework, incorporating them into the Kernel framework. To do so, we leverage the RKHS as a suitable space for learning the Koopman dynamics, thanks to its intrinsic finite-dimensional nature, shaped by data. We finally establish a strong link between kernel methods and Koopman operators, leading to the estimation of the latter through Kernel functions. We provide also simulations for comparison with standard procedures.
[{'version': 'v1', 'created': 'Thu, 25 Mar 2021 11:08:26 GMT'}]
2021-03-26
[array(['Zanini', 'Francesco', ''], dtype=object) array(['Chiuso', 'Alessandro', ''], dtype=object)]
4,611
1907.03728
Ziyue Xu
Ziyue Xu, Xiaosong Wang, Hoo-Chang Shin, Dong Yang, Holger Roth, Fausto Milletari, Ling Zhang, Daguang Xu
Correlation via synthesis: end-to-end nodule image generation and radiogenomic map learning based on generative adversarial network
null
null
null
null
cs.CV eess.IV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Radiogenomic map linking image features and gene expression profiles is useful for noninvasively identifying molecular properties of a particular type of disease. Conventionally, such map is produced in three separate steps: 1) gene-clustering to "metagenes", 2) image feature extraction, and 3) statistical correlation between metagenes and image features. Each step is independently performed and relies on arbitrary measurements. In this work, we investigate the potential of an end-to-end method fusing gene data with image features to generate synthetic image and learn radiogenomic map simultaneously. To achieve this goal, we develop a generative adversarial network (GAN) conditioned on both background images and gene expression profiles, synthesizing the corresponding image. Image and gene features are fused at different scales to ensure the realism and quality of the synthesized image. We tested our method on non-small cell lung cancer (NSCLC) dataset. Results demonstrate that the proposed method produces realistic synthetic images, and provides a promising way to find gene-image relationship in a holistic end-to-end manner.
[{'version': 'v1', 'created': 'Mon, 8 Jul 2019 17:17:18 GMT'}]
2019-07-09
[array(['Xu', 'Ziyue', ''], dtype=object) array(['Wang', 'Xiaosong', ''], dtype=object) array(['Shin', 'Hoo-Chang', ''], dtype=object) array(['Yang', 'Dong', ''], dtype=object) array(['Roth', 'Holger', ''], dtype=object) array(['Milletari', 'Fausto', ''], dtype=object) array(['Zhang', 'Ling', ''], dtype=object) array(['Xu', 'Daguang', ''], dtype=object)]
4,612
1508.00838
Peter Bl\"umler
Andreas Maul, Peter Bl\"umler, Werner Heil, Anna Nikiel, Ernst Otten, Andreas Petrich, Thomas Schmidt
Spherical Fused Silica Cells Filled with Pure Helium for NMR-Magnetometry
17 pages, 4 figures
null
10.1063/1.4938251
null
physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
High magnetic fields (> 1 T) are measured by NMR magnetometers with un-rivaled precision if the precessing spin sample provides long coherence times. The longest coherence times are found in diluted ${}^{3}$He samples, which can be hyperpolarized for sufficient signal strength. In order to have minimal influence on the homogeneity and value of the measured magnetic field the optimal container for the ${}^{3}$He should be a perfect sphere. A fused silica sphere with an inner diameter of 8 mm and an outer diameter of 12 mm was made from two hemispheres by diffusion bonding leaving only a small hole for cleaning and evacuation. This hole was closed in vacuum by a CO${}_{2}$ laser and the inner volume was filled with a few mbars of ${}^3$He via wall permeation. NMR-measurements on such a sample had coherence times of 5 min. While the hemispheres were produced with < 1 $\mu$m deviation from sphericity, the bonding left a step of ca. 50 $\mu$m at maximum. The influence of such a mismatch, its orientation and materials in the direct vicinity of the sample are analyzed by FEM-simulations and discussed in view of coherence times and absolute fields.
[{'version': 'v1', 'created': 'Tue, 4 Aug 2015 17:13:19 GMT'} {'version': 'v2', 'created': 'Wed, 9 Sep 2015 10:50:50 GMT'}]
2016-01-20
[array(['Maul', 'Andreas', ''], dtype=object) array(['Blümler', 'Peter', ''], dtype=object) array(['Heil', 'Werner', ''], dtype=object) array(['Nikiel', 'Anna', ''], dtype=object) array(['Otten', 'Ernst', ''], dtype=object) array(['Petrich', 'Andreas', ''], dtype=object) array(['Schmidt', 'Thomas', ''], dtype=object)]
4,613
1312.1240
Carmine Vittoria -
Carmine Vittoriaa, Somu Sivasubramanianb and Allan Widomc
Tensor Properties of the Magneto-electric Coupling in Hexaferrites
7 Pages
Phys. Rev. B 89, 134413 (2014)
10.1103/PhysRevB.89.134413
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent data reported on the magneto-electric coupling,{\alpha}, of hexaferrite materials is very high, and they have the potential to impact future technologies in a major way. The fundamental question addressed in this paper is what does {\alpha} depend on and, therefore, to what extent can {\alpha} increase in future experiments. Mathematical formulation of a microscopic theory would be rather complex, especially for a complex crystal structure as the Z-type hexaferrite, for example. We have opted for a thermodynamic argument in which a functional relationship between {\alpha} and material parameters was derived. We find that {\alpha} is best described as a tensor property proportional to the product of the magnetostriction and piezoelectric strain tensors. Quantitative estimates of {\alpha} are given for hexaferrites and composites.
[{'version': 'v1', 'created': 'Wed, 4 Dec 2013 16:45:47 GMT'}]
2014-04-23
[array(['Vittoriaa', 'Carmine', ''], dtype=object) array(['Sivasubramanianb', 'Somu', ''], dtype=object) array(['Widomc', 'Allan', ''], dtype=object)]
4,614
0709.0215
Arnold O. Benz
A. O. Benz (1), P. Staeuber (1), T. L. Bourke (3) F.F.S. vanderTak (3 and 4), E. F. van Dishoeck (5) and J. K. Joergensen (2) ((1) ETH Zurich, (2) CfA Cambridge, (3) MPI Bonn, (4) SRON Groningen, (5) Obs. Leiden)
Energetic radiation and the sulfur chemistry of protostellar envelopes: Submillimeter interferometry of AFGL 2591
Astronomy and Astrophysics, in press
null
10.1051/0004-6361:20078032
null
astro-ph
null
CONTEXT: The chemistry in the inner few thousand AU of accreting envelopes around young stellar objects is predicted to vary greatly with far-UV and X-ray irradiation by the central star. Aim We search for molecular tracers of high-energy irradiation by the protostar in the hot inner envelope. METHODS: The Submillimeter Array (SMA) has observed the high-mass star forming region AFGL 2591 in lines of CS, SO, HCN, HCN(v2=1), and HC15N with 0.6" resolution at 350 GHz probing radial scales of 600-3500 AU for an assumed distance of 1 kpc. The SMA observations are compared with the predictions of a chemical model fitted to previous single-dish observations. RESULTS: The CS and SO main peaks are extended in space at the FWHM level, as predicted in the model assuming protostellar X-rays. However, the main peak sizes are found smaller than modeled by nearly a factor of 2. On the other hand, the lines of CS, HCN, and HC15N, but not SO and HCN(v2=1), show pedestal emissions at radii of about 3500 AU that are not predicted. All lines except SO show a secondary peak within the approaching outflow cone. A dip or null in the visibilities caused by a sharp decrease in abundance with increasing radius is not observed in CS and only tentatively in SO. CONCLUSIONS: The emission of protostellar X-rays is supported by the good fit of the modeled SO and CS amplitude visibilities including an extended main peak in CS. The broad pedestals can be interpreted by far-UV irradiation in a spherically non-symmetric geometry, possibly comprising outflow walls on scales of 3500 -- 7000 AU. The extended CS and SO main peaks suggest sulfur evaporation near the 100 K temperature radius.
[{'version': 'v1', 'created': 'Mon, 3 Sep 2007 12:44:08 GMT'}]
2009-11-13
[array(['Benz', 'A. O.', '', '3\n and 4'], dtype=object) array(['Staeuber', 'P.', '', '3\n and 4'], dtype=object) array(['Bourke', 'T. L.', '', '3\n and 4'], dtype=object) array(['vanderTak', 'F. F. S.', '', '3\n and 4'], dtype=object) array(['van Dishoeck', 'E. F.', ''], dtype=object) array(['Joergensen', 'J. K.', ''], dtype=object)]
4,615
2007.07535
Tobias Galla
Nagi Khalil, Tobias Galla
Zealots in multi-state noisy voter models
17 pages, 9 figures
Phys. Rev. E 103, 012311 (2021)
10.1103/PhysRevE.103.012311
null
physics.soc-ph cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The noisy voter model is a stylised representation of opinion dynamics. Individuals copy opinions from other individuals, and are subject to spontaneous state changes. In the case of two opinion states this model is known to have a noise-driven transition between a unimodal phase, in which both opinions are present, and a bimodal phase in which one of the opinions dominates. The presence of zealots can remove the unimodal and bimodal phases in the model with two opinion states. Here, we study the effects of zealots in noisy voter models with M>2 opinion states on complete interaction graphs. We find that the phase behaviour diversifies, with up to six possible qualitatively different types of stationary states. The presence of zealots removes some of these phases, but not all. We analyse situations in which zealots affect the entire population, or only a fraction of agents, and show that this situation corresponds to a single-community model with a fractional number of zealots, further enriching the phase diagram. Our study is conducted analytically based on effective birth-death dynamics for the number of individuals holding a given opinion. Results are confirmed in numerical simulations.
[{'version': 'v1', 'created': 'Wed, 15 Jul 2020 08:19:22 GMT'}]
2021-02-10
[array(['Khalil', 'Nagi', ''], dtype=object) array(['Galla', 'Tobias', ''], dtype=object)]
4,616
0908.3641
Radja Boughezal
Radja Boughezal
Theoretical Status of Higgs Production at Hadron Colliders in the SM
8 pages, 6 figures, 3 tables, invited talk at the 2009 meeting of the division of particles and fields of the American physical society (DPF 2009), 26-31 July 2009
null
null
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We briefly review the current status of theoretical calculations for Higgs production at hadron colliders within the Standard Model. We focus on the main production mechanisms and decay modes at the Tevatron and the LHC.
[{'version': 'v1', 'created': 'Tue, 25 Aug 2009 16:30:23 GMT'}]
2009-08-26
[array(['Boughezal', 'Radja', ''], dtype=object)]
4,617
2110.00534
Aishwarya Padmakumar
Aishwarya Padmakumar, Jesse Thomason, Ayush Shrivastava, Patrick Lange, Anjali Narayan-Chen, Spandana Gella, Robinson Piramuthu, Gokhan Tur, Dilek Hakkani-Tur
TEACh: Task-driven Embodied Agents that Chat
Accepted at AAAI 2022; 7 pages main, 28 pages total, 29 figures; Version 3 uses a new test set for EDH instances that restrict evaluation to state changes only on task-relevant objects
null
null
null
cs.CV cs.AI cs.CL cs.RO
http://creativecommons.org/licenses/by-sa/4.0/
Robots operating in human spaces must be able to engage in natural language interaction with people, both understanding and executing instructions, and using conversation to resolve ambiguity and recover from mistakes. To study this, we introduce TEACh, a dataset of over 3,000 human--human, interactive dialogues to complete household tasks in simulation. A Commander with access to oracle information about a task communicates in natural language with a Follower. The Follower navigates through and interacts with the environment to complete tasks varying in complexity from "Make Coffee" to "Prepare Breakfast", asking questions and getting additional information from the Commander. We propose three benchmarks using TEACh to study embodied intelligence challenges, and we evaluate initial models' abilities in dialogue understanding, language grounding, and task execution.
[{'version': 'v1', 'created': 'Fri, 1 Oct 2021 17:00:14 GMT'} {'version': 'v2', 'created': 'Fri, 15 Oct 2021 17:08:43 GMT'} {'version': 'v3', 'created': 'Wed, 29 Dec 2021 02:25:05 GMT'}]
2021-12-30
[array(['Padmakumar', 'Aishwarya', ''], dtype=object) array(['Thomason', 'Jesse', ''], dtype=object) array(['Shrivastava', 'Ayush', ''], dtype=object) array(['Lange', 'Patrick', ''], dtype=object) array(['Narayan-Chen', 'Anjali', ''], dtype=object) array(['Gella', 'Spandana', ''], dtype=object) array(['Piramuthu', 'Robinson', ''], dtype=object) array(['Tur', 'Gokhan', ''], dtype=object) array(['Hakkani-Tur', 'Dilek', ''], dtype=object)]
4,618
hep-ex/0309005
Farrukh Azfar
Farrukh Azfar
B Lambda_b and Charm Results from the Tevatron
10 pages, 8 figures (+ 1 photo) Physics in Collision 2003 PNC FRAT06
ECONF C030626:FRAT05,2003
null
null
hep-ex
null
Recent results on $B_d$, $B_u^{\pm}$, $B_s$, $\Lambda_b$ and Charm hadrons are reported from $\approx$ 75pb$^{-1}$ and $\approx$ 40 pb$^{-1}$ of data accumulated at the upgraded CDF and D0 experiments at the Fermilab Tevatron $\bar{p}-p$ collider, during Run-II. These include lifetime and mass measurements of $B$ and Charm hadrons, searches for rare decays in charm and $B$ hadrons and CP-violation in Charm decays. Results relevant to CP-violation in B-decays are also reported.
[{'version': 'v1', 'created': 'Mon, 1 Sep 2003 12:48:28 GMT'} {'version': 'v2', 'created': 'Tue, 2 Sep 2003 10:53:26 GMT'}]
2010-11-23
[array(['Azfar', 'Farrukh', ''], dtype=object)]
4,619
astro-ph/0205206
Joerg Jaeckel
Michael Doran and Joerg Jaeckel
Loop Corrections to Scalar Quintessence Potentials
Contributed to XXXVIIth Rencontres de Moriond Workshop on "The Cosmological Model", Les Arcs, France, 16-23 March 2002
null
null
HD-THEP-02-15
astro-ph
null
The stability of scalar quintessence potentials under quantum fluctuations is investigated both for uncoupled models and models with a coupling to fermions. We find that uncoupled models are usually stable in the late universe. However, a coupling to fermions is severely restricted. We check whether a graviton induced fermion-quintessence coupling is compatible with this restriction.
[{'version': 'v1', 'created': 'Tue, 14 May 2002 17:35:08 GMT'}]
2007-05-23
[array(['Doran', 'Michael', ''], dtype=object) array(['Jaeckel', 'Joerg', ''], dtype=object)]
4,620
1811.02562
Larry Zamick
Arun Kingan and Larry Zamick
Matrix Model of Strength Distribution: Extension and Phase Transition
null
International Journal of Modern Physics E Vol.27, NO 10 (2018)1850087
10.1142/S0218301318500878
null
nucl-th nucl-ex quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we extend a previous study of matrix models of strength distributions. We still retain the nearest neighbor coupling mode but we extend the values the coupling parameter v. We consider extremes, from very smal v to very large v. We first use the same transiiton operator as before \textless{}n T(n+1)\textgreater{} =constat(=1). For this case we get an exponential decreasefor small v but we get a phase transition beyond v=10. In that case we get an even-odd effect-separate exponentials for even n and for odd n. We now also consider also the dipole choice--where \textless{}nT(n+1)\textgreater{} = $\sqrt{(n+1)}$ .
[{'version': 'v1', 'created': 'Wed, 7 Nov 2018 15:16:08 GMT'} {'version': 'v2', 'created': 'Fri, 9 Nov 2018 01:40:00 GMT'}]
2018-11-13
[array(['Kingan', 'Arun', ''], dtype=object) array(['Zamick', 'Larry', ''], dtype=object)]
4,621
0804.4788
Peter W\"urtz
Tatjana Gericke, Peter W\"urtz, Daniel Reitz, Tim Langen, and Herwig Ott
High Resolution Imaging of Single Atoms in a Quantum Gas
5 pages, 5 figures
null
null
null
cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Our knowledge on ultracold quantum gases is strongly influenced by our ability to probe these objects. In situ imaging combined with single atom sensitivity is an especially appealing scenario as it can provide direct information on the structure and the correlations of such systems. For a precise characterization a high spatial resolution is mandatory. In particular, the perspective to study quantum gases in optical lattices makes a resolution well below one micrometer highly desirable. Here, we report on a novel microscopy technique which is based on scanning electron microscopy and allows for the detection of single atoms inside a quantum gas with a spatial resolution of better than 150 nm. Imaging a Bose-Einstein condensate in a one-dimensional optical lattice with 600 nm period we demonstrate single site addressability in a sub-um optical lattice. The technique offers exciting possibilities for the preparation, manipulation and analysis of quantum gases.
[{'version': 'v1', 'created': 'Wed, 30 Apr 2008 10:53:55 GMT'}]
2008-05-01
[array(['Gericke', 'Tatjana', ''], dtype=object) array(['Würtz', 'Peter', ''], dtype=object) array(['Reitz', 'Daniel', ''], dtype=object) array(['Langen', 'Tim', ''], dtype=object) array(['Ott', 'Herwig', ''], dtype=object)]
4,622
1705.10965
Russell Anderson
M. Jasperse, M. J. Kewming, S. N. Fischer, P. Pakkiam, R. P. Anderson, L. D. Turner
Magic-wavelength Faraday probe measures spin continuously and without light shifts
null
Phys. Rev. A 96, 063402 (2017)
10.1103/PhysRevA.96.063402
null
quant-ph cond-mat.quant-gas physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a dispersive Faraday optical probe of atomic spin which performs a weak measurement of spin projection of a quantum gas continuously for more than one second. To date focusing bright far-off-resonance probes onto quantum gases has proved invasive, due to strong scalar and vector light shifts exerting dipole and Stern-Gerlach forces. We show that tuning the probe near the magic-zero wavelength at 790 nm between the fine-structure doublet of $^{87}$Rb cancels the scalar light shift, and careful control of polarization eliminates the vector light shift. Faraday rotations due to each fine-structure line reinforce at this wavelength, enhancing the signal-to-noise ratio for a fixed rate of probe-induced decoherence. Using this minimally-invasive spin probe we perform microscale atomic magnetometry at high temporal resolution. Spectrogram analysis of the Larmor precession signal of a single spinor Bose-Einstein condensate measures a time-varying magnetic field strength with 1 {\mu}G accuracy every 5 ms; or equivalently makes > 200 successive measurements each at $10\,\mathrm{pT/\sqrt{Hz}}$ sensitivity.
[{'version': 'v1', 'created': 'Wed, 31 May 2017 07:42:37 GMT'}]
2017-12-06
[array(['Jasperse', 'M.', ''], dtype=object) array(['Kewming', 'M. J.', ''], dtype=object) array(['Fischer', 'S. N.', ''], dtype=object) array(['Pakkiam', 'P.', ''], dtype=object) array(['Anderson', 'R. P.', ''], dtype=object) array(['Turner', 'L. D.', ''], dtype=object)]
4,623
physics/0209048
Juan Pablo Neirotti
Juan Pablo Neirotti and Nestor Caticha
Dynamical transitions in the evolution of learning algorithms by selection
11 pages, 11 figures, 2 tables
null
10.1103/PhysRevE.67.041912
null
physics.bio-ph cond-mat.dis-nn
null
We study the evolution of artificial learning systems by means of selection. Genetic programming is used to generate a sequence of populations of algorithms which can be used by neural networks for supervised learning of a rule that generates examples. In opposition to concentrating on final results, which would be the natural aim while designing good learning algorithms, we study the evolution process and pay particular attention to the temporal order of appearance of functional structures responsible for the improvements in the learning process, as measured by the generalization capabilities of the resulting algorithms. The effect of such appearances can be described as dynamical phase transitions. The concepts of phenotypic and genotypic entropies, which serve to describe the distribution of fitness in the population and the distribution of symbols respectively, are used to monitor the dynamics. In different runs the phase transitions might be present or not, with the system finding out good solutions, or staying in poor regions of algorithm space. Whenever phase transitions occur, the sequence of appearances are the same. We identify combinations of variables and operators which are useful in measuring experience or performance in rule extraction and can thus implement useful annealing of the learning schedule.
[{'version': 'v1', 'created': 'Wed, 11 Sep 2002 18:52:04 GMT'}]
2009-11-07
[array(['Neirotti', 'Juan Pablo', ''], dtype=object) array(['Caticha', 'Nestor', ''], dtype=object)]
4,624
1704.05486
Arnaud Marsiglietti
Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti, Artem Zvavitch
The convexification effect of Minkowski summation
60 pages, 7 figures. v2: Title changed. v3: Added Section 7.2 resolving Dyn-Farkhi conjecture
EMS Surveys in Mathematical Sciences, 2018
10.4171/EMSS/26
null
math.FA math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let us define for a compact set $A \subset \mathbb{R}^n$ the sequence $$ A(k) = \left\{\frac{a_1+\cdots +a_k}{k}: a_1, \ldots, a_k\in A\right\}=\frac{1}{k}\Big(\underset{k\ {\rm times}}{\underbrace{A + \cdots + A}}\Big). $$ It was independently proved by Shapley, Folkman and Starr (1969) and by Emerson and Greenleaf (1969) that $A(k)$ approaches the convex hull of $A$ in the Hausdorff distance induced by the Euclidean norm as $k$ goes to $\infty$. We explore in this survey how exactly $A(k)$ approaches the convex hull of $A$, and more generally, how a Minkowski sum of possibly different compact sets approaches convexity, as measured by various indices of non-convexity. The non-convexity indices considered include the Hausdorff distance induced by any norm on $\mathbb{R}^n$, the volume deficit (the difference of volumes), a non-convexity index introduced by Schneider (1975), and the effective standard deviation or inner radius. After first clarifying the interrelationships between these various indices of non-convexity, which were previously either unknown or scattered in the literature, we show that the volume deficit of $A(k)$ does not monotonically decrease to 0 in dimension 12 or above, thus falsifying a conjecture of Bobkov et al. (2011), even though their conjecture is proved to be true in dimension 1 and for certain sets $A$ with special structure. On the other hand, Schneider's index possesses a strong monotonicity property along the sequence $A(k)$, and both the Hausdorff distance and effective standard deviation are eventually monotone (once $k$ exceeds $n$). Along the way, we obtain new inequalities for the volume of the Minkowski sum of compact sets, falsify a conjecture of Dyn and Farkhi (2004), demonstrate applications of our results to combinatorial discrepancy theory, and suggest some questions worthy of further investigation.
[{'version': 'v1', 'created': 'Tue, 18 Apr 2017 18:21:20 GMT'} {'version': 'v2', 'created': 'Wed, 24 May 2017 16:19:27 GMT'} {'version': 'v3', 'created': 'Wed, 16 May 2018 16:13:36 GMT'}]
2018-06-27
[array(['Fradelizi', 'Matthieu', ''], dtype=object) array(['Madiman', 'Mokshay', ''], dtype=object) array(['Marsiglietti', 'Arnaud', ''], dtype=object) array(['Zvavitch', 'Artem', ''], dtype=object)]
4,625
1802.09566
Mudasir Ahmad Wani
Mudasir Ahmad Wani, Nancy Agarwal, Suraiya Jabin, Syed Zeeshan Hussai
Design of iMacros-based Data Crawler and the Behavioral Analysis of Facebook Users
null
null
null
null
cs.SI cs.HC cs.IR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Obtaining the desired dataset is still a prime challenge faced by researchers while analyzing Online Social Network (OSN) sites. Application Programming Interfaces (APIs) provided by OSN service providers for retrieving data impose several unavoidable restrictions which make it difficult to get a desirable dataset. In this paper, we present an iMacros technology-based data crawler called IMcrawler, capable of collecting every piece of information which is accessible through a browser from the Facebook website within the legal framework which permits access to publicly shared user content on OSNs. The proposed crawler addresses most of the challenges allied with web data extraction approaches and most of the APIs provided by OSN service providers. Two broad sections have been extracted from Facebook user profiles, namely, Personal Information and Wall Activities. The present work is the first attempt towards providing the detailed description of crawler design for the Facebook website.
[{'version': 'v1', 'created': 'Sun, 18 Feb 2018 18:36:46 GMT'} {'version': 'v2', 'created': 'Tue, 26 Nov 2019 11:16:01 GMT'}]
2019-11-27
[array(['Wani', 'Mudasir Ahmad', ''], dtype=object) array(['Agarwal', 'Nancy', ''], dtype=object) array(['Jabin', 'Suraiya', ''], dtype=object) array(['Hussai', 'Syed Zeeshan', ''], dtype=object)]
4,626
1003.1116
Vladimir Yedynak
Vladimir V. Yedynak
Order separability
4 pages. This work was published in the Bulletin of Moscow State University in 2006
null
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper is devoted to the investigation of the property of order separability for free products of groups.
[{'version': 'v1', 'created': 'Thu, 4 Mar 2010 19:35:56 GMT'} {'version': 'v2', 'created': 'Tue, 13 Jul 2010 11:40:40 GMT'} {'version': 'v3', 'created': 'Tue, 20 Jul 2010 11:42:52 GMT'}]
2010-07-21
[array(['Yedynak', 'Vladimir V.', ''], dtype=object)]
4,627
2005.00391
Daniel Boyanovsky
Nathan Herring, Daniel Boyanovsky
Gravitational production of nearly thermal fermionic Dark Matter
Published version. Includes majoranas and pair annihilation into gravitons
Phys. Rev. D 101, 123522 (2020)
10.1103/PhysRevD.101.123522
null
astro-ph.CO gr-qc hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the cosmological production of fermionic dark matter during inflation and a post-inflationary radiation dominated era. This fermion \emph{only interacts gravitationally}, has a mass $m$ much smaller than the Hubble scale during inflation (but is otherwise arbitrary) and is in its Bunch-Davies vacuum state during inflation. We focus on superhorizon modes at the end of inflation, and assume instantaneous reheating. We obtain the full energy momentum tensor discussing its renormalization, and show that the contribution from particle production is of the kinetic-fluid form near matter-radiation equality. We find \emph{exactly} the distribution function of produced particles $|B(k)|^2=\frac{1}{2}\Big[1-(1-e^{-\frac{k^2}{2mT_H}})^{1/2}\Big]$ which exhibits an " emergent temperature" $T_H=H_0\sqrt{\Omega_R}\simeq 10^{-36}(\mathrm{eV})$. The abundance of the produced particles $\Omega_{pp}$ is very similar to that of a non-relativistic degree of freedom thermalized at temperature $T_H$, $\Omega_{pp} \propto m \, (m\,T_H)^{3/2}\simeq \big(m/10^8\mathrm{GeV})\big)^{5/2}$ and "cold" equation of state $w(a) \simeq (T_H/m a^2)$, both dominated by superhorizon modes at the end of inflation. We discuss subtle aspects of isocurvature perturbations.
[{'version': 'v1', 'created': 'Fri, 1 May 2020 14:15:02 GMT'} {'version': 'v2', 'created': 'Fri, 19 Jun 2020 20:00:40 GMT'}]
2020-06-23
[array(['Herring', 'Nathan', ''], dtype=object) array(['Boyanovsky', 'Daniel', ''], dtype=object)]
4,628
1804.03359
Ievgen Makedonskyi
Evgeny Feigin and Ievgen Makedonskyi
Vertex algebras and coordinate rings of semi-infinite flags
null
null
10.1007/s00220-019-03321-x
null
math.RT math-ph math.AG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The direct sum of irreducible level one integrable representations of affine Kac-Moody Lie algebra of (affine) type $ADE$ carries a structure of $P/Q$-graded vertex operator algebra. There exists a filtration on this direct sum studied by Kato and Loktev such that the corresponding graded vector space is a direct sum of global Weyl modules. The associated graded space with respect to the dual filtration is isomorphic to the homogenous coordinate ring of semi-infinite flag variety. We describe the ring structure in terms of vertex operators and endow the homogenous coordinate ring with a structure of $P/Q$-graded vertex operator algebra. We use the vertex algebra approach to derive semi-infinite Pl\"ucker-type relations in the homogeneous coordinate ring.
[{'version': 'v1', 'created': 'Tue, 10 Apr 2018 06:28:42 GMT'}]
2019-02-20
[array(['Feigin', 'Evgeny', ''], dtype=object) array(['Makedonskyi', 'Ievgen', ''], dtype=object)]
4,629
1509.07926
Matthew Mower
Matthew D. Mower and G. Vignale
Spin relaxation near a ferromagnetic transition
12 pages, 5 figures
null
null
null
cond-mat.mes-hall cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study spin relaxation in dilute magnetic semiconductors near a ferromagnetic transition, where spin fluctuations become strong. An enhancement in the scattering rate of itinerant carriers from the spin fluctuations of localized impurities leads to a change in the dominant spin relaxation mechanism from Dyakonov-Perel to spin flips in scattering. On the ferromagnetic side of the transition, we show that due to the presence of two magnetic components -- the itinerant carriers and the magnetic impurities -- with different gyromagnetic ratios, the relaxation rate of the total magnetization can be quite different from the relaxation rate of the spin. Following a disturbance of the equilibrium magnetization, the spin is initially redistributed between the two components to restore the equilibrium magnetization. It is only on a longer time scale, controlled by the spin-orbit interaction, that the total spin itself relaxes to its equilibrium state.
[{'version': 'v1', 'created': 'Sat, 26 Sep 2015 00:14:41 GMT'}]
2015-09-29
[array(['Mower', 'Matthew D.', ''], dtype=object) array(['Vignale', 'G.', ''], dtype=object)]
4,630
quant-ph/0411132
Wei Lianfu
L.F. Wei and Franco Nori
Coherently manipulating two-qubit quantum information using a pair of simultaneous laser pulses
null
Europhys. Lett., 65(1), 1 (2004)
10.1209/epl/i2003-10053-y
null
quant-ph
null
Several sequential operations are usually needed for implementing controlled quantum gates and generating entanglement between a pair of quantum bits. Based on the conditional quantum dynamics for a two-ion system beyond the Lamb-Dicke limit, here we propose a theoretical scheme for manipulating two-qubit quantum information, i.e., implementing a universal two-qubit quantum gate and generating a two-qubit entangled state, by using a pair of simultaneous laser pulses. Neither the Lamb-Dicke approximation nor the auxiliary atomic level are required. The experimental realizability of this simple approach is also discussed.
[{'version': 'v1', 'created': 'Thu, 18 Nov 2004 09:03:06 GMT'} {'version': 'v2', 'created': 'Mon, 19 Dec 2005 08:23:25 GMT'}]
2009-11-10
[array(['Wei', 'L. F.', ''], dtype=object) array(['Nori', 'Franco', ''], dtype=object)]
4,631
1303.1528
Kent Yagi
Kent Yagi and Nicolas Yunes
I-Love-Q Relations in Neutron Stars and their Applications to Astrophysics, Gravitational Waves and Fundamental Physics
29 pages, 16 figures; typos corrected
Phys. Rev. D 88, 023009 (2013)
10.1103/PhysRevD.88.023009
null
gr-qc astro-ph.HE hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The exterior gravitational field of a slowly-rotating neutron star can be characterized by its multipole moments, the first few being the neutron star mass, moment of inertia, and quadrupole moment to quadratic order in spin. In principle, all of these quantities depend on the neutron star's internal structure, and thus, on unknown nuclear physics at supra-nuclear energy densities. We here find relations between the moment of inertia, the Love numbers and the quadrupole moment (I-Love-Q relations) that do not depend sensitively on the neutron star's internal structure. Three important consequences derive from these I-Love-Q relations. On an observational astrophysics front, the measurement of a single member of the I-Love-Q trio would automatically provide information about the other two, even when the latter may not be observationally accessible. On a gravitational wave front, the I-Love-Q relations break the degeneracy between the quadrupole moment and the neutron-star spins in binary inspiral waveforms, allowing second-generation ground-based detectors to determine the (dimensionless) averaged spin to $\mathcal{O}(10)%$, given a sufficiently large signal-to-noise ratio detection. On a fundamental physics front, the I-Love-Q relations allow for tests of General Relativity in the neutron-star strong-field that are both theory- and internal structure-independent. As an example, by combining gravitational-wave and electromagnetic observations, one may constrain dynamical Chern-Simons gravity in the future by more than 6 orders of magnitude more stringently than Solar System and table-top constraints.
[{'version': 'v1', 'created': 'Wed, 6 Mar 2013 21:00:03 GMT'} {'version': 'v2', 'created': 'Mon, 9 Sep 2013 03:46:03 GMT'} {'version': 'v3', 'created': 'Thu, 30 Nov 2017 16:53:50 GMT'}]
2017-12-01
[array(['Yagi', 'Kent', ''], dtype=object) array(['Yunes', 'Nicolas', ''], dtype=object)]
4,632
math/0403083
Yong-Geun Oh
Yong-Geun Oh
Spectral invariants, analysis of the Floer moduli spaces and geometry of the Hamiltonian diffeomorphism group
78 pages, This the final version that will appear in Duke Math. J. published by Duke University Press
Duke Math. J. 130 (2005) , no2, 199-295
null
null
math.SG
null
In this paper, we apply spectral invariants, constructed in [Oh5,8], to the study of Hamiltonian diffeomorphisms of closed symplectic manifolds $(M,\omega)$. Using spectral invariants, we first construct an invariant norm called the {\it spectral norm} on the Hamiltonian diffeomorphism group and obtain several lower bounds for the spectral norm in terms of the $\e$-regularity theorem and the symplectic area of certain pseudo-holomorphic curves. We then apply spectral invariants to the study of length minimizing properties of certain Hamiltonian paths {\it among all paths}. In addition to the construction of spectral invariants, these applications rely heavily on the {\it chain level Floer theory} and on some existence theorems with energy bounds of pseudo-holomorphic sections of certain Hamiltonian fibrations with prescribed monodromy. The existence scheme that we develop in this paper in turn relies on some careful geometric analysis involving {\it adiabatic degeneration} and {\it thick-thin decomposition} of the Floer moduli spaces which has an independent interest of its own. We assume that $(M,\omega)$ is {\it strongly semi-positive} throughout, which will be removed in a sequel.
[{'version': 'v1', 'created': 'Wed, 3 Mar 2004 20:32:33 GMT'} {'version': 'v2', 'created': 'Tue, 4 May 2004 19:04:38 GMT'} {'version': 'v3', 'created': 'Sat, 26 Jun 2004 00:51:44 GMT'} {'version': 'v4', 'created': 'Sat, 19 Feb 2005 03:10:23 GMT'}]
2007-05-23
[array(['Oh', 'Yong-Geun', ''], dtype=object)]
4,633
1806.05649
Gennaro D'Angelo Dr.
Gennaro D'Angelo and Jack J. Lissauer
Formation of Giant Planets
Invited review, accepted for publication in the "Handbook of Exoplanets", eds. H.J. Deeg and J.A. Belmonte, Springer (2018). 28 pages, 8 figures
null
10.1007/978-3-319-55333-7_140
LA-UR-18-23469
astro-ph.EP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Giant planets are tens to thousands of times as massive as the Earth, and many times as large. Most of their volumes are occupied by hydrogen and helium, the primary constituents of the protostellar disks from which they formed. Significantly, the solar system giants are also highly enriched in heavier elements relative to the Sun, indicating that solid material participated in their assembly. Giant planets account for most of the mass of our planetary system and of those extrasolar planetary systems in which they are present. Therefore, giant planets are primary actors in determining the orbital architectures of planetary systems and, possibly, in affecting the composition of terrestrial planets. This Chapter describes the principal route that, according to current knowledge, can lead to the formation of giant planets, the core nucleated accretion model, and an alternative route, the disk instability model, which may lead to the formation of planetary-mass objects on wide orbits.
[{'version': 'v1', 'created': 'Thu, 14 Jun 2018 17:04:28 GMT'}]
2018-12-05
[array(["D'Angelo", 'Gennaro', ''], dtype=object) array(['Lissauer', 'Jack J.', ''], dtype=object)]
4,634
hep-th/0402115
Ho-Ung Yee
Ho-Ung Yee (KIAS)
A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
LaTex, 1+15 pages, 1 figure, v2: discussion in terms of deformation theory is added
Phys.Lett. B598 (2004) 139-148
10.1016/j.physletb.2004.05.082
null
hep-th
null
In this letter, we elaborate on the SL(2,Z) action on three dimensional conformal field theories with U(1) symmetry introduced by Witten, by trying to give an explicit verification of the claim regarding holographic dual of the S operation in AdS/CFT correspondence. A consistency check with the recently proposed prescription on boundary condition of bulk fields when we deform the boundary CFT in a non-standard manner is also discussed.
[{'version': 'v1', 'created': 'Mon, 16 Feb 2004 12:52:58 GMT'} {'version': 'v2', 'created': 'Fri, 12 Nov 2004 12:44:03 GMT'}]
2009-11-10
[array(['Yee', 'Ho-Ung', '', 'KIAS'], dtype=object)]
4,635
2201.07553
Sophie Huczynska
Sophie Huczynska and Laura Johnson
Internal and external partial difference families and cyclotomy
null
null
null
null
math.CO
http://creativecommons.org/licenses/by/4.0/
We introduce the concept of a disjoint partial difference family (DPDF) and an external partial difference family (EPDF), a natural generalisation of the much-studied structures of disjoint difference family (DDF), external difference family (EDF) and partial difference set (PDS). We establish properties and constructions, and indicate connections to other recently-studied combinatorial structures. We show how DPDFs and EPDFs may be formed from collections of PDSs, and also present cyclotomic methods yielding DPDFs and EPDFs whose component sets are not in general PDSs. As part of this, we develop a unified framework encompassing various known constructions for cyclotomic difference structures, which also yields new results on DDFs and EDFs.
[{'version': 'v1', 'created': 'Wed, 19 Jan 2022 12:12:18 GMT'} {'version': 'v2', 'created': 'Thu, 15 Sep 2022 11:08:41 GMT'} {'version': 'v3', 'created': 'Tue, 20 Dec 2022 09:54:28 GMT'}]
2022-12-21
[array(['Huczynska', 'Sophie', ''], dtype=object) array(['Johnson', 'Laura', ''], dtype=object)]
4,636
2009.03527
Yuanyu Wan
Yuanyu Wan and Lijun Zhang
Approximate Multiplication of Sparse Matrices with Limited Space
null
null
null
null
cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Approximate matrix multiplication with limited space has received ever-increasing attention due to the emergence of large-scale applications. Recently, based on a popular matrix sketching algorithm---frequent directions, previous work has introduced co-occuring directions (COD) to reduce the approximation error for this problem. Although it enjoys the space complexity of $O((m_x+m_y)\ell)$ for two input matrices $X\in\mathbb{R}^{m_x\times n}$ and $Y\in\mathbb{R}^{m_y\times n}$ where $\ell$ is the sketch size, its time complexity is $O\left(n(m_x+m_y+\ell)\ell\right)$, which is still very high for large input matrices. In this paper, we propose to reduce the time complexity by exploiting the sparsity of the input matrices. The key idea is to employ an approximate singular value decomposition (SVD) method which can utilize the sparsity, to reduce the number of QR decompositions required by COD. In this way, we develop sparse co-occuring directions, which reduces the time complexity to $\widetilde{O}\left((\nnz(X)+\nnz(Y))\ell+n\ell^2\right)$ in expectation while keeps the same space complexity as $O((m_x+m_y)\ell)$, where $\nnz(X)$ denotes the number of non-zero entries in $X$. Theoretical analysis reveals that the approximation error of our algorithm is almost the same as that of COD. Furthermore, we empirically verify the efficiency and effectiveness of our algorithm.
[{'version': 'v1', 'created': 'Tue, 8 Sep 2020 05:39:19 GMT'}]
2020-09-09
[array(['Wan', 'Yuanyu', ''], dtype=object) array(['Zhang', 'Lijun', ''], dtype=object)]
4,637
2207.12981
Klaas Wiersema
K. Wiersema, P. Chote, J. Marchant, S. Covino, J. R. Maund, A. Agathanggelou, W. Feline, S. George, G. Privett, B. Simmons, I. A. Steele
Short timescale imaging polarimetry of geostationary satellite Thor-6: the nature of micro-glints
6 figures, 30 pages; accepted for publication in Advances in Space Research
null
10.1016/j.asr.2022.07.034
null
astro-ph.EP astro-ph.IM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Large constellations of orbiting communication satellites will become an important source of noise for present and future astronomical observatories. Mitigation measures rely on high quality predictive models of the position and expected brightness of these objects. Optical linear imaging polarimetry holds promise as a quantitative tool to improve our understanding of the physics of reflection of sunlight off satellite components and through which models of expected brightness can be improved. We present the first simultaneous short-timescale linear polarimetry and optical photometry observations of a geostationary satellite, using the new MOPTOP imaging polarimeter on the 2m Liverpool Telescope. Our target, telecommunication satellite Thor-6, shows prominent short timescale glint-like features in the lightcurve, some as short as seconds. Our polarimetric observations overlap with several of these micro-glints, and have the cadence required to resolve them. We find that the polarisation lightcurve is remarkably smooth, the short time scale glints are not seen to produce strong polarimetric features in our observation. We show how short timescale polarimetry can further constrain the properties of the components responsible for these micro-glints.
[{'version': 'v1', 'created': 'Tue, 26 Jul 2022 15:40:48 GMT'}]
2022-07-27
[array(['Wiersema', 'K.', ''], dtype=object) array(['Chote', 'P.', ''], dtype=object) array(['Marchant', 'J.', ''], dtype=object) array(['Covino', 'S.', ''], dtype=object) array(['Maund', 'J. R.', ''], dtype=object) array(['Agathanggelou', 'A.', ''], dtype=object) array(['Feline', 'W.', ''], dtype=object) array(['George', 'S.', ''], dtype=object) array(['Privett', 'G.', ''], dtype=object) array(['Simmons', 'B.', ''], dtype=object) array(['Steele', 'I. A.', ''], dtype=object)]
4,638
2012.10919
Antoine Vigneron
Corentin Allair and Antoine Vigneron
Pattern Matching in Doubling Spaces
23 pages, 4 figures
null
null
null
cs.DS cs.CG
http://creativecommons.org/licenses/by/4.0/
We consider the problem of matching a metric space $(X,d_X)$ of size $k$ with a subspace of a metric space $(Y,d_Y)$ of size $n \geq k$, assuming that these two spaces have constant doubling dimension $\delta$. More precisely, given an input parameter $\rho \geq 1$, the $\rho$-distortion problem is to find a one-to-one mapping from $X$ to $Y$ that distorts distances by a factor at most $\rho$. We first show by a reduction from $k$-clique that, in doubling dimension $\log_2 3$, this problem is NP-hard and W[1]-hard. Then we provide a near-linear time approximation algorithm for fixed $k$: Given an approximation ratio $0<\varepsilon\leq 1$, and a positive instance of the $\rho$-distortion problem, our algorithm returns a solution to the $(1+\varepsilon)\rho$-distortion problem in time $(\rho/\varepsilon)^{O(1)}n \log n$. We also show how to extend these results to the minimum distortion problem in doubling spaces: We prove the same hardness results, and for fixed $k$, we give a $(1+\varepsilon)$-approximation algorithm running in time $($dist$(X,Y)/\varepsilon)^{O(1)}n^2\log n$, where dist$(X,Y)$ denotes the minimum distortion between $X$ and $Y$.
[{'version': 'v1', 'created': 'Sun, 20 Dec 2020 13:33:41 GMT'}]
2020-12-22
[array(['Allair', 'Corentin', ''], dtype=object) array(['Vigneron', 'Antoine', ''], dtype=object)]
4,639
astro-ph/9711308
Chun-Yu Ma
Chun-yu Ma (1,2) and Peter L Biermann (2) ((1) Purple Mountain Observatory, Nanjing, China, (2) MPIfR, Bonn, Germany)
On the dynamo driven accretion disks
19 pages, 5 eps figures, uses aasms4.sty, accepted to A&A
null
null
null
astro-ph
null
We add the $\alpha-$ effect in the dynamo driven accretion disk model proposed by Tout & Pringle (1992), i.e., a dynamo model depends on the physical processes such as Parker instability, Balbus-Hawley instability, magnetic field reconnection and $\alpha-\omega$ mean field dynamo as well. The $\alpha-$ effect in the dynamo mechanism is determined by the strength of turbulence of the accretion flow. When the turbulent Mach number $M_t$ is less than 0.25, the solutions of the magnetic fields oscillate around their equilibrium values. The increase of the value of $M_t$ makes the amplitude of the oscillation smaller and the period longer, but does not affect the equilibrium values. The Shakura-Sunyaev viscosity parameter $\alpha_{SS}$ oscillates around the equilibrium value of 0.33. When the turbulent Mach number $M_t$ is larger than 0.25, the magnetic field components reach a stable state. In the non-linear dynamo region, the critical turbulent Mach number $M_t$ is 0.44 rather than 0.25. The oscillating magnetic fields and viscosity parameter can explain the basic properties of the dwarf nova eruptions and some properties of quiescent disks (Armitage et al. 1996).
[{'version': 'v1', 'created': 'Wed, 26 Nov 1997 01:17:26 GMT'}]
2007-05-23
[array(['Ma', 'Chun-yu', ''], dtype=object) array(['Biermann', 'Peter L', ''], dtype=object)]
4,640
hep-th/0006203
Ichiro Oda
Ichiro Oda
Localization of Matters on a String-like Defect
15 pages, LaTex 2e, minor corrections (to appear in Phys. Lett. B)
Phys.Lett.B496:113-121,2000
10.1016/S0370-2693(00)01284-3
EDO-EP-30
hep-th
null
After presenting string-like solutions with a warp factor to Einstein's equations, we study localization of various spin fields on a string-like defect in a general space-time dimension from the viewpoint of field theory. It is shown that spin 0 and 2 fields are localized on a defect with the exponentially decreasing warp factor. Spin 1 field can be also localized on a defect with the exponentially decreasing warp factor. On the other hand, spin one-half and three-half fields can be localized on a defect with the exponentially increasing warp factor, provided that additional interactions are not introduced. Thus, some mechanism of localization must be invoked for these fermionic fields. These results are very similar to those of a domain wall in five space-time dimensions except the case of spin 1 field.
[{'version': 'v1', 'created': 'Mon, 26 Jun 2000 19:57:25 GMT'} {'version': 'v2', 'created': 'Wed, 1 Nov 2000 01:36:46 GMT'}]
2011-05-05
[array(['Oda', 'Ichiro', ''], dtype=object)]
4,641
0809.4631
Dung Di Caprio
D. di Caprio, J.P. Badiali, M. Holovko
Simple field theoretical approach of Coulomb systems. Entropic effects
4 pages, 1 figure
null
null
null
cond-mat.stat-mech cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss a new simple field theory approach of Coulomb systems. Using a description in terms of fields, we introduce in a new way the statistical degrees of freedom in relation with the quantum mechanics. We show on a series of examples that these fundamental entropic effects can help account for physical phenomena in relation with Coulomb systems whether symmetric or also asymmetric in valence. On the overall, this gives a new understanding of these systems.
[{'version': 'v1', 'created': 'Fri, 26 Sep 2008 13:40:41 GMT'}]
2008-09-29
[array(['di Caprio', 'D.', ''], dtype=object) array(['Badiali', 'J. P.', ''], dtype=object) array(['Holovko', 'M.', ''], dtype=object)]
4,642
2305.05974
Prabhu Babu Dr.
Petre Stoica and Prabhu Babu
Pearson-Matthews correlation coefficients for binary and multinary classification and hypothesis testing
null
null
null
null
eess.SP stat.ML
http://creativecommons.org/licenses/by-nc-nd/4.0/
The Pearson-Matthews correlation coefficient (usually abbreviated MCC) is considered to be one of the most useful metrics for the performance of a binary classification or hypothesis testing method (for the sake of conciseness we will use the classification terminology throughout, but the concepts and methods discussed in the paper apply verbatim to hypothesis testing as well). For multinary classification tasks (with more than two classes) the existing extension of MCC, commonly called the $\text{R}_{\text{K}}$ metric, has also been successfully used in many applications. The present paper begins with an introductory discussion on certain aspects of MCC. Then we go on to discuss the topic of multinary classification that is the main focus of this paper and which, despite its practical and theoretical importance, appears to be less developed than the topic of binary classification. Our discussion of the $\text{R}_{\text{K}}$ is followed by the introduction of two other metrics for multinary classification derived from the multivariate Pearson correlation (MPC) coefficients. We show that both $\text{R}_{\text{K}}$ and the MPC metrics suffer from the problem of not decisively indicating poor classification results when they should, and introduce three new enhanced metrics that do not suffer from this problem. We also present an additional new metric for multinary classification which can be viewed as a direct extension of MCC.
[{'version': 'v1', 'created': 'Wed, 10 May 2023 08:32:36 GMT'}]
2023-05-11
[array(['Stoica', 'Petre', ''], dtype=object) array(['Babu', 'Prabhu', ''], dtype=object)]
4,643
2110.02907
Mengyu Fu
Mengyu Fu, Kiril Solovey, Oren Salzman, and Ron Alterovitz
Resolution-Optimal Motion Planning for Steerable Needles
arXiv admin note: text overlap with arXiv:2107.04939; to be published in ICRA 2022
null
null
null
cs.RO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Medical steerable needles can follow 3D curvilinear trajectories inside body tissue, enabling them to move around critical anatomical structures and precisely reach clinically significant targets in a minimally invasive way. Automating needle steering, with motion planning as a key component, has the potential to maximize the accuracy, precision, speed, and safety of steerable needle procedures. In this paper, we introduce the first resolution-optimal motion planner for steerable needles that offers excellent practical performance in terms of runtime while simultaneously providing strong theoretical guarantees on completeness and the global optimality of the motion plan in finite time. Compared to state-of-the-art steerable needle motion planners, simulation experiments on realistic scenarios of lung biopsy demonstrate that our proposed planner is faster in generating higher-quality plans while incorporating clinically relevant cost functions. This indicates that the theoretical guarantees of the proposed planner have a practical impact on the motion plan quality, which is valuable for computing motion plans that minimize patient trauma.
[{'version': 'v1', 'created': 'Wed, 6 Oct 2021 16:36:02 GMT'} {'version': 'v2', 'created': 'Mon, 28 Feb 2022 13:50:51 GMT'}]
2022-03-01
[array(['Fu', 'Mengyu', ''], dtype=object) array(['Solovey', 'Kiril', ''], dtype=object) array(['Salzman', 'Oren', ''], dtype=object) array(['Alterovitz', 'Ron', ''], dtype=object)]
4,644
2202.11369
Manil T Mohan
Kush Kinra and Manil T. Mohan
Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations
null
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work, we demonstrate the Wong-Zakai approximation results for two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by Hilbert space valued Wiener noise on bounded domains. Even though the existence and uniqueness of a pathwise strong solution to SCBF equations is known, the existence of a unique solution to the approximating system is not immediate from the solvability results of SCBF equations, and we prove it by using Faedo-Galerkin approximation technique and monotonicity arguments. Moreover, as an application of the Wong-Zakai approximation, we obtain the support of the distribution of solutions to SCBF equations.
[{'version': 'v1', 'created': 'Wed, 23 Feb 2022 09:21:34 GMT'}]
2022-02-24
[array(['Kinra', 'Kush', ''], dtype=object) array(['Mohan', 'Manil T.', ''], dtype=object)]
4,645
1203.0874
Antoine Hakassou
Antoine Hakassou and Youssef Ouknine
A note on $\alpha$-IDT processes
null
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this note, we introduce the notion of $\alpha$-IDT processes which is obtained from a slight and fundamental modification of the IDT property. Several examples of $\alpha$-IDT processes are given and Gaussian processes which are $\alpha$-IDT are characterized. A kind example of this Gaussian $\alpha$-IDT is the standard fractional Brownian motion. Also, we invest some links between the $\alpha$-IDT property, with selfdecomposability, temporal selfdecomposability, stability and self similarity.
[{'version': 'v1', 'created': 'Mon, 5 Mar 2012 11:56:09 GMT'} {'version': 'v2', 'created': 'Thu, 11 Oct 2012 13:55:36 GMT'} {'version': 'v3', 'created': 'Tue, 16 Oct 2012 19:41:26 GMT'}]
2012-10-17
[array(['Hakassou', 'Antoine', ''], dtype=object) array(['Ouknine', 'Youssef', ''], dtype=object)]
4,646
1504.00507
Gabriele Gradoni
Gabriele Gradoni and Stephen Creagh and Gregor Tanner and Christopher Smartt and David Thomas
A Phase-Space Approach for Propagating Field-Field Correlation Functions
11 pages, 13 figures, under review in Physical Review E
null
10.1088/1367-2630/17/9/093027
null
nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that radiation from complex and inherently random but correlated wave sources can be modelled efficiently by using an approach based on the Wigner distribution function. Our method exploits the connection between correlation functions and theWigner function and admits in its simplest approximation a direct representation in terms of the evolution of ray densities in phase space. We show that next leading order corrections to the ray-tracing approximation lead to Airy-function type phase space propagators. By exploiting the exact Wigner function propagator, inherently wave-like effects such as evanescent decay or radiation from more heterogeneous sources as well as diffraction and reflections can be included and analysed. We discuss in particular the role of evanescent waves in the near-field of non-paraxial sources and give explicit expressions for the growth rate of the correlation length as function of the distance from the source. Furthermore, results for the reflection of partially coherent sources from flat mirrors are given. We focus here on electromagnetic sources at microwave frequencies and modelling efforts in the context of electromagnetic compatibility.
[{'version': 'v1', 'created': 'Thu, 2 Apr 2015 10:53:03 GMT'}]
2015-09-30
[array(['Gradoni', 'Gabriele', ''], dtype=object) array(['Creagh', 'Stephen', ''], dtype=object) array(['Tanner', 'Gregor', ''], dtype=object) array(['Smartt', 'Christopher', ''], dtype=object) array(['Thomas', 'David', ''], dtype=object)]
4,647
1905.06641
Lumin Liu
Lumin Liu, Jun Zhang, S. H. Song, Khaled B. Letaief
Client-Edge-Cloud Hierarchical Federated Learning
6 pages, 4 figures
null
null
null
cs.NI cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Federated Learning is a collaborative machine learning framework to train a deep learning model without accessing clients' private data. Previous works assume one central parameter server either at the cloud or at the edge. The cloud server can access more data but with excessive communication overhead and long latency, while the edge server enjoys more efficient communications with the clients. To combine their advantages, we propose a client-edge-cloud hierarchical Federated Learning system, supported with a HierFAVG algorithm that allows multiple edge servers to perform partial model aggregation. In this way, the model can be trained faster and better communication-computation trade-offs can be achieved. Convergence analysis is provided for HierFAVG and the effects of key parameters are also investigated, which lead to qualitative design guidelines. Empirical experiments verify the analysis and demonstrate the benefits of this hierarchical architecture in different data distribution scenarios. Particularly, it is shown that by introducing the intermediate edge servers, the model training time and the energy consumption of the end devices can be simultaneously reduced compared to cloud-based Federated Learning.
[{'version': 'v1', 'created': 'Thu, 16 May 2019 10:23:36 GMT'} {'version': 'v2', 'created': 'Thu, 31 Oct 2019 14:45:01 GMT'}]
2019-11-01
[array(['Liu', 'Lumin', ''], dtype=object) array(['Zhang', 'Jun', ''], dtype=object) array(['Song', 'S. H.', ''], dtype=object) array(['Letaief', 'Khaled B.', ''], dtype=object)]
4,648
2103.10229
Gabriel Dias Cantareira
Gabriel D. Cantareira, Rodrigo F. Mello, Fernando V. Paulovich
Explainable Adversarial Attacks in Deep Neural Networks Using Activation Profiles
Submitted to EUROVIS 2021
null
null
null
cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
As neural networks become the tool of choice to solve an increasing variety of problems in our society, adversarial attacks become critical. The possibility of generating data instances deliberately designed to fool a network's analysis can have disastrous consequences. Recent work has shown that commonly used methods for model training often result in fragile abstract representations that are particularly vulnerable to such attacks. This paper presents a visual framework to investigate neural network models subjected to adversarial examples, revealing how models' perception of the adversarial data differs from regular data instances and their relationships with class perception. Through different use cases, we show how observing these elements can quickly pinpoint exploited areas in a model, allowing further study of vulnerable features in input data and serving as a guide to improving model training and architecture.
[{'version': 'v1', 'created': 'Thu, 18 Mar 2021 13:04:21 GMT'}]
2021-03-19
[array(['Cantareira', 'Gabriel D.', ''], dtype=object) array(['Mello', 'Rodrigo F.', ''], dtype=object) array(['Paulovich', 'Fernando V.', ''], dtype=object)]
4,649
1008.3740
ChungYeol Ryu
C.Y.Ryu, K.S.Kim and Myung-Ki Cheoun
Medium effects of magnetic moments of baryons on neutron stars under strong magnetic fields
null
null
10.1103/PhysRevC.82.025804
null
astro-ph.HE nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate medium effects due to density-dependent magnetic moments of baryons on neutron stars under strong magnetic fields. If we allow the variation of anomalous magnetic moments (AMMs) of baryons in dense matter under strong magnetic fields, AMMs of nucleons are enhanced to be larger than those of hyperons. The enhancement naturally affects the chemical potentials of baryons to be large and leads to the increase of a proton fraction. Consequently, it causes the suppression of hyperons, resulting in the stiffness of the equation of state. Under the presumed strong magnetic fields, we evaluate relevant particles' population, the equation of state and the maximum masses of neutron stars by including density-dependent AMMs and compare them with those obtained from AMMs in free space.
[{'version': 'v1', 'created': 'Mon, 23 Aug 2010 02:51:06 GMT'}]
2015-05-19
[array(['Ryu', 'C. Y.', ''], dtype=object) array(['Kim', 'K. S.', ''], dtype=object) array(['Cheoun', 'Myung-Ki', ''], dtype=object)]
4,650
2111.01819
Alfred Castro-Ginard
A. Castro-Ginard, C. Jordi, X. Luri, T. Cantat-Gaudin, J.M. Carrasco, L. Casamiquela, F. Anders, L. Balaguer-N\'u\~nez and R.M. Badia
Hunting for open clusters in Gaia EDR3: $628$ new open clusters found with OCfinder
13 pages, 12 figures. Accepted in Astronomy and Astrophysics
A&A 661, A118 (2022)
10.1051/0004-6361/202142568
null
astro-ph.GA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The improvements in the precision of the published data in \textit{Gaia} EDR3 with respect to \textit{Gaia} DR2, particularly for parallaxes and proper motions, offer the opportunity to increase the number of known open clusters in the Milky Way by detecting farther and fainter objects that have so far go unnoticed. Our aim is to keep completing the open cluster census in the Milky Way with the detection of new stellar groups in the Galactic disc. We use \textit{Gaia} EDR3 up to magnitude $G = 18$ mag, increasing in one unit the magnitude limit and therefore the search volume explored in our previous studies. We use the \texttt{OCfinder} method to search for new open clusters in \textit{Gaia} EDR3 using a Big Data environment. As a first step, \texttt{OCfinder} identifies stellar statistical overdensities in the five dimensional astrometric space (position, parallax and proper motions) using the \texttt{DBSCAN} clustering algorithm. Then, these overdensities are classified into random statistical overdensities or real physical open clusters using a deep artificial neural network trained on well-characterised $G$, $G_{\rm BP} - G_{\rm RP}$ colour-magnitude diagrams. We report the discovery of $664$ new open clusters within the Galactic disc, most of them located beyond $1$ kpc from the Sun. From the estimation of ages, distances and line-of-sight extinctions of these open clusters, we see that young clusters align following the Galactic spiral arms while older ones are dispersed in the Galactic disc. Furthermore, we find that most open clusters are located at low Galactic altitudes with the exception of a few groups older than $1$ Gyr. We show the success of the \texttt{OCfinder} method leading to the discovery of a total of $1\,310$ open clusters (joining the discoveries here with the previous ones based on \textit{Gaia} DR2)[abridged]
[{'version': 'v1', 'created': 'Tue, 2 Nov 2021 18:04:32 GMT'} {'version': 'v2', 'created': 'Wed, 2 Mar 2022 10:14:43 GMT'}]
2022-05-25
[array(['Castro-Ginard', 'A.', ''], dtype=object) array(['Jordi', 'C.', ''], dtype=object) array(['Luri', 'X.', ''], dtype=object) array(['Cantat-Gaudin', 'T.', ''], dtype=object) array(['Carrasco', 'J. M.', ''], dtype=object) array(['Casamiquela', 'L.', ''], dtype=object) array(['Anders', 'F.', ''], dtype=object) array(['Balaguer-Núñez', 'L.', ''], dtype=object) array(['Badia', 'R. M.', ''], dtype=object)]
4,651
hep-ph/0605244
Olga Shekhovtsova
G. Pancheri, O. Shekhovtsova, G. Venanzoni
Test of FSR in the process $e^+e^-\to\pi^+\pi^-\gamma$ at DA$\Phi$NE and extraction of the pion form factor at threshold
13 pages, 6 figures
Phys.Lett.B642:342-349,2006
10.1016/j.physletb.2006.09.053
null
hep-ph
null
Effects due to non-pointlike behaviour of pions in the process $e^+e^-\to\pi^+\pi^-\gamma$ can arise for hard photons in the final state. By means of a Monte Carlo event generator, which also includes the contribution of the direct decay $\phi\to\pi^+\pi^-\gamma$, we estimate these effects in the framework of Resonance Perturbation Theory. We consider angular cuts used in the KLOE analysis of the pion form factor at threshold. A method to reveal the effects of non-pointlike behaviour of pions in a model-independent way is proposed.
[{'version': 'v1', 'created': 'Tue, 23 May 2006 11:35:29 GMT'}]
2008-11-26
[array(['Pancheri', 'G.', ''], dtype=object) array(['Shekhovtsova', 'O.', ''], dtype=object) array(['Venanzoni', 'G.', ''], dtype=object)]
4,652
2102.03367
Vivishek Sudhir
Vivishek Sudhir, Nadine Stritzelberger, Achim Kempf
Unruh Effect of Detectors with Quantized Center-of-Mass
null
Phys. Rev. D 103, 105023 (2021)
10.1103/PhysRevD.103.105023
null
quant-ph gr-qc
http://creativecommons.org/licenses/by-nc-sa/4.0/
The Unruh effect is the prediction that particle detectors accelerated through the vacuum get excited by the apparent presence of radiation quanta -- a fundamental quantum phenomenon in the presence of acceleration. Prior treatments of the Unruh effect, that presume a classically prescribed trajectory, do not account for the quantum dynamics of the detector's center-of-mass. Here, we study more realistic detectors whose center of mass is a quantized degree of freedom being accelerated by an external classical field. We investigate the detector's recoil due to the emission of Unruh quanta. Vice versa, we also study the recoil's impact on the emission of Unruh quanta and the excitation of the detector. We find that the recoil due to the emission of Unruh quanta may be a relevant experimental signature of the Unruh effect.
[{'version': 'v1', 'created': 'Fri, 5 Feb 2021 19:00:02 GMT'}]
2021-06-02
[array(['Sudhir', 'Vivishek', ''], dtype=object) array(['Stritzelberger', 'Nadine', ''], dtype=object) array(['Kempf', 'Achim', ''], dtype=object)]
4,653
1905.07400
Nandini Negi
Nandini Negi and Aranya Chakrabortty
Sparsity-Promoting Optimal Control of Cyber-Physical Systems over Shared Communication Networks
Preliminary version appeared at American Control Conference (ACC) 2018
null
null
null
cs.SY math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent years have seen several new directions in the design of sparse control of cyber-physical systems (CPSs) driven by the objective of reducing communication cost. One common assumption made in these designs is that the communication happens over a dedicated network. For many practical applications, however, communication must occur over shared networks, leading to two critical design challenges, namely - time-delays in the feedback and fair sharing of bandwidth among users. In this paper, we present a set of sparse H2 control designs under these two design constraints. An important aspect of our design is that the delay itself can be a function of sparsity, which leads to an interesting pattern of trade-offs in the H2 performance. We present three distinct algorithms. The first algorithm preconditions the assignable bandwidth to the network and produces an initial guess for a stabilizing controller. This is followed by our second algorithm, which sparsifies this controller while simultaneously adapting the feedback delay and optimizing the H2 performance using alternating directions method of multipliers (ADMM). The third algorithm extends this approach to a multiple user scenario where optimal number of communication links, whose total sum is fixed, is distributed fairly among users by minimizing the variance of their H2 performances. The problem is cast as a difference-of-convex (DC) program with mixed-integer linear program (MILP) constraints. We provide theorems to prove convergence of these algorithms, followed by validation through numerical simulations.
[{'version': 'v1', 'created': 'Fri, 17 May 2019 17:57:49 GMT'}]
2019-05-20
[array(['Negi', 'Nandini', ''], dtype=object) array(['Chakrabortty', 'Aranya', ''], dtype=object)]
4,654
1909.04078
Riccardo La Grassa
Riccardo La Grassa, Ignazio Gallo, Alessandro Calefati, Dimitri Ognibene
A Classification Methodology based on Subspace Graphs Learning
8 pages, Dicta Conference
null
null
null
cs.LG cs.AI stat.ML
http://creativecommons.org/licenses/by/4.0/
In this paper, we propose a design methodology for one-class classifiers using an ensemble-of-classifiers approach. The objective is to select the best structures created during the training phase using an ensemble of spanning trees. It takes the best classifier, partitioning the area near a pattern into $\gamma^{\gamma-2}$ sub-spaces and combining all possible spanning trees that can be created starting from $\gamma$ nodes. The proposed method leverages on a supervised classification methodology and the concept of minimum distance. We evaluate our approach on well-known benchmark datasets and results obtained demonstrate that it achieves comparable and, in many cases, state-of-the-art results. Moreover, it obtains good performance even with unbalanced datasets.
[{'version': 'v1', 'created': 'Mon, 9 Sep 2019 18:10:06 GMT'}]
2019-09-11
[array(['La Grassa', 'Riccardo', ''], dtype=object) array(['Gallo', 'Ignazio', ''], dtype=object) array(['Calefati', 'Alessandro', ''], dtype=object) array(['Ognibene', 'Dimitri', ''], dtype=object)]
4,655
2010.13374
Bruce W. Lee
Bruce W. Lee and Jason Lee
LXPER Index 2.0: Improving Text Readability Assessment Model for L2 English Students in Korea
NLP-TEA 2020, Association for Computational Linguistics
Proceedings of the 6th Workshop on Natural Language Processing Techniques for Educational Applications, 2020
null
2020.nlptea-1.3
cs.CL cs.LG
http://creativecommons.org/licenses/by-nc-sa/4.0/
Developing a text readability assessment model specifically for texts in a foreign English Language Training (ELT) curriculum has never had much attention in the field of Natural Language Processing. Hence, most developed models show extremely low accuracy for L2 English texts, up to the point where not many even serve as a fair comparison. In this paper, we investigate a text readability assessment model for L2 English learners in Korea. In accordance, we improve and expand the Text Corpus of the Korean ELT curriculum (CoKEC-text). Each text is labeled with its target grade level. We train our model with CoKEC-text and significantly improve the accuracy of readability assessment for texts in the Korean ELT curriculum.
[{'version': 'v1', 'created': 'Mon, 26 Oct 2020 07:03:14 GMT'} {'version': 'v2', 'created': 'Tue, 27 Oct 2020 17:04:03 GMT'} {'version': 'v3', 'created': 'Thu, 5 Nov 2020 18:37:49 GMT'} {'version': 'v4', 'created': 'Fri, 11 Dec 2020 11:04:49 GMT'}]
2020-12-14
[array(['Lee', 'Bruce W.', ''], dtype=object) array(['Lee', 'Jason', ''], dtype=object)]
4,656
2111.08113
Franc Forstneric
Franc Forstneric
Every smoothly bounded p-convex domain in R^n admits a p-plurisubharmonic defining function
Bull. Sci. Math., in press
Bull. Sci. Math., Vol. 175, 2022, 103100
10.1016/j.bulsci.2022.103100
null
math.CV math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that every bounded domain $D$ in $\mathbb R^n$ with smooth $p$-convex boundary for $2\le p < n$ admits a smooth defining function $\rho$ which is $p$-plurisubharmonic on $\overline D$; if in addition $bD$ has no $p$-flat points then $\rho$ can be chosen strongly $p$-plurisubharmonic on $D$. If $bD$ is $2$-convex then for any open connected conformal surface $M$ and conformal harmonic map $f:M\to \overline D$, either $f(M)\subset D$ or $f(M)\subset bD$. In particular, every conformal harmonic map $\mathbb D^*\to D$ from the punctured disc extends to a conformal harmonic map $\mathbb D\to D$.
[{'version': 'v1', 'created': 'Mon, 15 Nov 2021 22:28:36 GMT'} {'version': 'v2', 'created': 'Wed, 12 Jan 2022 15:44:25 GMT'}]
2022-03-25
[array(['Forstneric', 'Franc', ''], dtype=object)]
4,657
1909.06719
Harry Altman
Harry Altman and Andreas Weiermann
Maximum linearizations of lower sets in $\mathbb{N}^m$ with application to monomial ideals
13 pages
null
null
null
math.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We compute the type (maximum linearization) of the well partial order of bounded lower sets in $\mathbb{N}^m$, ordered under inclusion, and find it is $\omega^{\omega^{m-1}}$; we give two proofs of this statement. Moreover we compute the type of the set of all lower sets in $\mathbb{N}^m$, a topic studied by Aschenbrenner and Pong, and find that it is equal to \[ \omega^{\sum_{k=1}^{m} \omega^{m-k}\binom{m}{k-1} }+ 1. \] As a consequence we deduce corresponding bounds on sequences of monomial ideals.
[{'version': 'v1', 'created': 'Sun, 15 Sep 2019 02:50:15 GMT'} {'version': 'v2', 'created': 'Sat, 28 Sep 2019 19:17:33 GMT'} {'version': 'v3', 'created': 'Thu, 26 Dec 2019 06:17:22 GMT'}]
2019-12-30
[array(['Altman', 'Harry', ''], dtype=object) array(['Weiermann', 'Andreas', ''], dtype=object)]
4,658
1302.7073
Yu Lan
Yu Lan, Jihong Qin, and Shiping Feng
Interplay between superconductivity and pseudogap state in bilayer cuprate superconductors
7 pages, 2 figures
Phys. Lett. A 377, 2210 (2013)
null
null
cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The interplay between the superconducting gap and normal-state pseudogap in the bilayer cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. It is shown that the charge carrier interaction directly from the interlayer coherent hopping in the kinetic energy by exchanging spin excitations does not provide the contribution to the normal-state pseudogap in the particle-hole channel and superconducting gap in the particle-particle channel, while only the charge carrier interaction directly from the intralayer hopping in the kinetic energy by exchanging spin excitations induces the normal-state pseudogap in the particle-hole channel and superconducting gap in the particle-particle channel, and then the two-gap behavior is a universal feature for the single layer and bilayer cuprate superconductors.
[{'version': 'v1', 'created': 'Thu, 28 Feb 2013 03:58:22 GMT'} {'version': 'v2', 'created': 'Tue, 18 Jun 2013 13:28:17 GMT'} {'version': 'v3', 'created': 'Thu, 25 Jul 2013 02:05:29 GMT'}]
2013-07-26
[array(['Lan', 'Yu', ''], dtype=object) array(['Qin', 'Jihong', ''], dtype=object) array(['Feng', 'Shiping', ''], dtype=object)]
4,659
1309.0115
N. Christopher Phillips
N. Christopher Phillips
Simplicity of UHF and Cuntz algebras on $L^p$~spaces
AMSLaTeX; 36 pages. Changes from version 1: Lemma 1.4: Proof replaced by reference to literature. Theorem 3.7: Generalized to allow tensoring with a fixed algebra (for use in another paper). Misprints corrected
null
null
null
math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that, for $p \in [1, \infty),$ and integers $d$ at least 2, the $L^p$ analog ${\mathcal{O}}_d^p$ of the Cuntz algebra ${\mathcal{O}}_d$ is a purely infinite simple amenable Banach algebra. The proof requires what we call the spatial $L^p$ UHF algebras, which are analogs of UHF algebras acting on $L^p$ spaces. As for the usual UHF C*-algebras, they have associated supernatural numbers. For fixed $p \in [1, \infty),$ we prove that any spatial $L^p$ UHF algebra is simple and amenable, and that two such algebras are isomorphic if and only if they have the same supernatural number (equivalently, the same scaled ordered $K_0$-group). For distinct $p_1, p_2 \in [1, \infty),$ we prove that no spatial $L^{p_1}$ UHF algebra is isomorphic to any spatial $L^{p_2}$ UHF algebra.
[{'version': 'v1', 'created': 'Sat, 31 Aug 2013 13:47:26 GMT'} {'version': 'v2', 'created': 'Sat, 14 Sep 2013 17:05:05 GMT'}]
2013-09-17
[array(['Phillips', 'N. Christopher', ''], dtype=object)]
4,660
1910.12958
Thibault Sejourne
Thibault S\'ejourn\'e, Jean Feydy, Fran\c{c}ois-Xavier Vialard, Alain Trouv\'e, Gabriel Peyr\'e
Sinkhorn Divergences for Unbalanced Optimal Transport
null
null
null
null
math.OC cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems. Over the last decade, two relaxations of optimal transport have been studied in depth: unbalanced transport, which is robust to the presence of outliers and can be used when distributions don't have the same total mass; entropy-regularized transport, which is robust to sampling noise and lends itself to fast computations using the Sinkhorn algorithm. This paper combines both lines of work to put robust optimal transport on solid ground. Our main contribution is a generalization of the Sinkhorn algorithm to unbalanced transport: our method alternates between the standard Sinkhorn updates and the pointwise application of a contractive function. This implies that entropic transport solvers on grid images, point clouds and sampled distributions can all be modified easily to support unbalanced transport, with a proof of linear convergence that holds in all settings. We then show how to use this method to define pseudo-distances on the full space of positive measures that satisfy key geometric axioms: (unbalanced) Sinkhorn divergences are differentiable, positive, definite, convex, statistically robust and avoid any "entropic bias" towards a shrinkage of the measures' supports.
[{'version': 'v1', 'created': 'Mon, 28 Oct 2019 20:40:37 GMT'} {'version': 'v2', 'created': 'Fri, 19 Mar 2021 08:02:09 GMT'} {'version': 'v3', 'created': 'Mon, 16 Jan 2023 16:36:08 GMT'}]
2023-01-18
[array(['Séjourné', 'Thibault', ''], dtype=object) array(['Feydy', 'Jean', ''], dtype=object) array(['Vialard', 'François-Xavier', ''], dtype=object) array(['Trouvé', 'Alain', ''], dtype=object) array(['Peyré', 'Gabriel', ''], dtype=object)]
4,661
1510.05394
Henri Gouin
Henri Gouin (M2P2), Tommaso Ruggeri (CIRAM)
Dynamical pressure for fluid mixtures with several temperatures
arXiv admin note: substantial text overlap with arXiv:0905.0226
M{\'e}canique and Industries / M{\'e}canique et Industries, EDP Sciences, 2009, 10, pp.239-243. \&lt;10.1051/meca/2009052\&gt;
10.1051/meca/2009052
null
physics.class-ph math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider binary mixtures of fluids with components having different temperatures. A new dynamical pressure term is associated with the difference of temperatures between components even if fluid viscosities are null. The non-equilibrium dynamical pressure can be measured and may be convenient in several physical situations as for example in cosmological circumstances where a dynamical pressure played a major role in the evolution of the early universe.
[{'version': 'v1', 'created': 'Mon, 19 Oct 2015 08:53:31 GMT'}]
2015-10-20
[array(['Gouin', 'Henri', '', 'M2P2'], dtype=object) array(['Ruggeri', 'Tommaso', '', 'CIRAM'], dtype=object)]
4,662
2005.12567
Konstantinos Anagnostopoulos N
Konstantinos N. Anagnostopoulos, Takehiro Azuma, Yuta Ito, Jun Nishimura, Toshiyuki Okubo, Stratos Kovalkov Papadoudis
Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking
15 pages, 2 figures, proceedings of the CORFU2019 Workshop on Quantum Geometry, Field Theory and Gravity, September 18-25 2019
null
null
null
hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The IKKT matrix model has been conjectured to provide a promising nonperturbative formulation of superstring theory. In this model, spacetime emerges dynamically from the microscopic matrix degrees of freedom in the large-N limit, and Monte Carlo simulations of the Lorentzian version provide evidence of an emergent (3+1)-dimensional expanding space-time. In this talk, we discuss the Euclidean version of the IKKT matrix model and provide evidence of dynamical compactification of the extra dimensions via the spontaneous symmetry breaking (SSB) of the 10D rotational symmetry. We perform numerical simulations of a system with a severe complex action problem by using the complex Langevin method (CLM). The CLM suffers from the singular-drift problem and we deform the model in order to avoid it. We study the SSB pattern as we vary the deformation parameter and we conclude that the original model has an SO(3) symmetric vacuum, in agreement with previous calculations using the Gaussian expansion method (GEM). We employ the GEM to the deformed model and we obtain results consistent with the ones obtained by CLM.
[{'version': 'v1', 'created': 'Tue, 26 May 2020 08:24:05 GMT'}]
2020-05-27
[array(['Anagnostopoulos', 'Konstantinos N.', ''], dtype=object) array(['Azuma', 'Takehiro', ''], dtype=object) array(['Ito', 'Yuta', ''], dtype=object) array(['Nishimura', 'Jun', ''], dtype=object) array(['Okubo', 'Toshiyuki', ''], dtype=object) array(['Papadoudis', 'Stratos Kovalkov', ''], dtype=object)]
4,663
2110.05938
Pascal Koiran
Pascal Koiran
Infall time in the Eddington-Finkelstein metric, with application to Einstein-Rosen bridges
To appear in International Journal of Modern Physics D
null
10.1142/S0218271821501066
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Eddington-Finkelstein metric is obtained from the Schwarzschild metric by a change of the time variable. It is well known that a test mass falling into a black hole does not reach the event horizon for any finite value of the Schwarzschild time variable $t$. By contrast, we show that the event horizon is reached for a finite value of the Eddington-Finkelstein time variable $t'$. Then we study in Eddington-Finkelstein time the fate of a massive particle traversing an Einstein-Rosen bridge and obtain a different conclusion than recent proposals in the literature: we show that the particle reaches the wormhole throat for a finite value $t'_1$ of the time marker $t'$, and continues its trajectory across the throat for $t'>t'_1$. Such a behavior does not make sense in Schwarzschild time since it would amount to continuing the trajectory of the particle "beyond the end of time."
[{'version': 'v1', 'created': 'Sat, 9 Oct 2021 15:35:11 GMT'}]
2021-10-13
[array(['Koiran', 'Pascal', ''], dtype=object)]
4,664
0710.3014
Sven Heinemeyer
S. Heinemeyer
Higgs-Boson Benchmarks in Agreement with CDM, EWPO and BPO
Submitted for the SUSY07 proceedings, 4 pages, 3 figures
null
null
null
hep-ph
null
We explore `benchmark planes' in the Minimal Supersymmetric Standard Model (MSSM) that are in agreement with the measured cold dark matter (CDM) density, electroweak precision observables (EWPO) and B physics observables (BPO). The M_A-tan_beta planes are specified assuming that gaugino masses m_{1/2}, soft trilinear supersymmetry-breaking parameters A_0 and the soft supersymmetry-breaking contributions m_0 to the squark and slepton masses are universal, but not those associated with the Higgs multiplets (the NUHM framework). We discuss the prospects for probing experimentally these benchmark surfaces at the Tevatron collider, the LHC and the ILC.
[{'version': 'v1', 'created': 'Tue, 16 Oct 2007 11:09:07 GMT'}]
2007-10-17
[array(['Heinemeyer', 'S.', ''], dtype=object)]
4,665
2001.09196
Ben Southworth
Ben S. Southworth and Milan Holec and Terry S. Haut
Diffusion synthetic acceleration for heterogeneous domains, compatible with voids
23 pages, accepted to NSE
null
null
null
math.NA cs.NA physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A standard approach to solving the S$_N$ transport equations is to use source iteration with diffusion synthetic acceleration (DSA). Although this approach is widely used and effective on many problems, there remain some practical issues with DSA preconditioning, particularly on highly heterogeneous domains. For large-scale parallel simulation, it is critical that both (i) preconditioned source iteration converges rapidly, and (ii) the action of the DSA preconditioner can be applied using fast, scalable solvers, such as algebraic multigrid (AMG). For heterogeneous domains, these two interests can be at odds. In particular, there exist DSA diffusion discretizations that can be solved rapidly using AMG, but they do not always yield robust/fast convergence of the larger source iteration. Conversely, there exist robust DSA discretizations where source iteration converges rapidly on difficult heterogeneous problems, but fast parallel solvers like AMG tend to struggle applying the action of such operators. Moreover, very few current methods for the solution of deterministic transport are compatible with voids. This paper develops a new heterogeneous DSA preconditioner based on only preconditioning the optically thick subdomains. The resulting method proves robust on a variety of heterogeneous transport problems, including a linearized hohlraum mesh related to inertial confinement fusion. Moreover, the action of the preconditioner is easily computed using $\mathcal{O}(1)$ AMG iterations, {convergence of the transport iteration typically requires $2-5\times$ less iterations than current state-of-the-art ``full DSA,'' and the proposed method is} trivially compatible with voids. On the hohlraum problem, rapid convergence is obtained by preconditioning less than 3\% of the mesh elements with $5-10$ AMG iterations.
[{'version': 'v1', 'created': 'Fri, 24 Jan 2020 21:14:20 GMT'} {'version': 'v2', 'created': 'Fri, 3 Apr 2020 22:56:42 GMT'} {'version': 'v3', 'created': 'Fri, 29 May 2020 19:44:16 GMT'} {'version': 'v4', 'created': 'Mon, 20 Jul 2020 21:51:03 GMT'}]
2020-07-22
[array(['Southworth', 'Ben S.', ''], dtype=object) array(['Holec', 'Milan', ''], dtype=object) array(['Haut', 'Terry S.', ''], dtype=object)]
4,666
hep-th/0302054
Shin'ichi Nojiri
Shin'ichi Nojiri, Sergei D. Odintsov
The one-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence
LaTeX file, 3 eps files, 26 pages. The discussion is clarified, version to appear in PRD
Phys.Rev.D69:023511,2004
10.1103/PhysRevD.69.023511
AEI-2003-17
hep-th
null
We calculate the difference of one-loop vacuum energies for massive scalar field in five-dimensional AdS black hole. (The same is done in five-dimensional deSitter space). In each case this difference is specified by the boundary conditions corresponding to the double-trace operator (massive term) and it describes RG flow in the manner discussed by Gubser-Mitra for pure AdS space. For AdS black hole there occurs instability which is the manifestation of the Hawking-Page phase transition. For stable phase of AdS black hole as well as for deSitter bulk, c-function found beyond the leading order approximation shows the monotonic behaviour consistent with c-theorem.
[{'version': 'v1', 'created': 'Sat, 8 Feb 2003 10:35:26 GMT'} {'version': 'v2', 'created': 'Fri, 31 Oct 2003 15:01:39 GMT'}]
2009-09-17
[array(['Nojiri', "Shin'ichi", ''], dtype=object) array(['Odintsov', 'Sergei D.', ''], dtype=object)]
4,667
astro-ph/9412091
null
T. Kifune, et al, CANGAROO Collaboration
Very High Energy Gamma Rays from PSR1706-44
13 pages, latex format (article), 2 figures included
Astrophys.J.438:L91-L94,1995
10.1086/187723
To be published in Astrophysical Journal Letters
astro-ph
null
We have obtained evidence of gamma-ray emission above 1 TeV from PSR1706-44, using a ground-based telescope of the atmospheric \v{C}erenkov imaging type located near Woomera, South Australia. This object, a $\gamma$-ray source discovered by the COS B satellite (2CG342-02), was identified with the radio pulsar through the discovery of a 102 ms pulsed signal with the EGRET instrument of the Compton Gamma Ray Observatory. The flux of the present observation above a threshold of 1 TeV is $\bf \sim $ 1 $\cdot$ 10$^{-11}$ photons cm$^{-2}$ s$^{-1}$, which is two orders of magnitude smaller than the extrapolation from GeV energies. The analysis is not restricted to a search for emission modulated with the 102 ms period, and the reported flux is for all $\gamma$-rays from PSR1706-44, pulsed and unpulsed. The energy output in the TeV region corresponds to about 10$^{-3}$ of the spin down energy loss rate of the neutron star.
[{'version': 'v1', 'created': 'Tue, 27 Dec 1994 02:19:55 GMT'}]
2011-04-04
[array(['Kifune', 'T.', ''], dtype=object) array(['Collaboration', 'CANGAROO', ''], dtype=object)]
4,668
2212.14820
Anindita Bera
Anindita Bera, Joonwoo Bae, Beatrix C. Hiesmayr, and Dariusz Chru\'sci\'nski
On the structure of mirrored operators obtained from optimal entanglement witnesses
13 pages, 3 figures, 1 table, comments are welcome
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Entanglement witnesses (EWs) are a versatile tool in the verification of entangled states. The framework of mirrored EW doubles the power of a given EW by introducing its twin -- a mirrored EW -- whereby two EWs related by mirroring can bound the set of separable states more efficiently. In this work, we investigate the relation between the EWs and its mirrored ones, and present a conjecture which claims that the mirrored operator obtained from an optimal EW is either a positive operator or a decomposable EW, which implies that positive-partial-transpose entangled states, also known as the bound entangled states, cannot be detected. This conjecture is reached by studying numerous known examples of optimal EWs. However, the mirrored EWs obtained from the non-optimal ones can be non-decomposable as well. We also show that mirrored operators obtained from the extremal decomposable witnesses are positive semi-definite. Interestingly, the witnesses that violate the well known conjecture of Structural Physical Approximation, do satisfy our conjecture. The intricate relation between these two conjectures is discussed and it reveals a novel structure of the separability problem.
[{'version': 'v1', 'created': 'Fri, 30 Dec 2022 16:49:33 GMT'}]
2023-01-02
[array(['Bera', 'Anindita', ''], dtype=object) array(['Bae', 'Joonwoo', ''], dtype=object) array(['Hiesmayr', 'Beatrix C.', ''], dtype=object) array(['Chruściński', 'Dariusz', ''], dtype=object)]
4,669
2209.02376
Felipe Silveira
Francisco Caruso, Vitor Oguri, Felipe Silveira and Amos Troper
On the influence of Maxwell--Chern--Simons electrodynamics in nuclear fusion involving electronic and muonic molecules
null
null
10.1209/0295-5075/aca2d4
null
nucl-th physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
New results recently obtained (\textit{Annals of Physics} (New York) a.n.~168943) established some non-relativistic ground state solutions for three-body molecules interacting through a Chern--Simons model. Within this model, it was argued that Chern--Simons potential should not help improve the fusion rates by replacing electrons with muons, in the case of particular muonic molecules. This achievement motivated us to investigate quantitatively whether or not the Maxwell--Chern--Simons electrodynamics could influence positively, for example, the probability of having a muon-catalyzed fusion; its contribution to electronic molecules is also considered in this letter. The principal factors related to the probability of elementary nuclear fusion are therefore numerically calculated and compared with their analogs admitting other forms of interaction like $-1/\rho$ and $\ln (\rho)$. The analysis carried on here confirms that one should not expect a significant improvement in nuclear fusion rates in the case of muonic molecules, although, surprisingly, the same is not true for electronic molecules, compared with other theoretical predictions. Numerical predictions for the fusion rates for $ppe$, $pp\mu$, $dde$ and $dd\mu$ molecules are given as well as the predicted value for the tunneling rate for these molecules.
[{'version': 'v1', 'created': 'Sat, 27 Aug 2022 13:27:07 GMT'}]
2022-12-07
[array(['Caruso', 'Francisco', ''], dtype=object) array(['Oguri', 'Vitor', ''], dtype=object) array(['Silveira', 'Felipe', ''], dtype=object) array(['Troper', 'Amos', ''], dtype=object)]
4,670
0711.4858
Gloria Koenigsberger
C. Foellmi, G. Koenigsberger, L. Georgiev, O. Toledano, S.V. Marchenko, P. Massey, T.H. Dall, A.F.J. Moffat, N. Morrell, M. Corcoran, A. Kaufer, Y. Naze, J. Pittard, N. St.-Louis, A. Fullerton, D. Massa, A.M.T. Pollock
New insights into the nature of the SMC WR/LBV binary HD 5980
48 pages, 26 figures
Rev.Mex.Astron.Astrofis.44:3-27,2008
null
null
astro-ph
null
We present the results of optical wavelength observations of the unusual SMC eclipsing binary system HD 5980 obtained in 1999 and 2004--2005. Radial velocity curves for the erupting LBV/WR object (star A) and its close WR-like companion (star B) are obtained by deblending the variable emission-line profiles of N IV and N V lines under the simplistic assumption that these lines originate primarily in the winds of star A and star B. The derived masses M_A=58--79 Mo and M_B=51--67 Mo, are more consistent with the stars' location near the top of the HRD than previous estimates. The presence of a wind-wind interaction region is inferred from the orbital phase-dependent behavior of He I P Cygni absorption components. The emission-line intensities continued with the declining trend previously seen in UV spectra. The behavior of the photospheric absorption lines is consistent with the results of Schweickhardt (2002) who concludes that the third object in the combined spectrum, star C, is also a binary system with P(starC)~96.5 days, e=0.83. The data used in this paper will be made publicly available for further analysis.
[{'version': 'v1', 'created': 'Fri, 30 Nov 2007 02:32:32 GMT'}]
2014-11-18
[array(['Foellmi', 'C.', ''], dtype=object) array(['Koenigsberger', 'G.', ''], dtype=object) array(['Georgiev', 'L.', ''], dtype=object) array(['Toledano', 'O.', ''], dtype=object) array(['Marchenko', 'S. V.', ''], dtype=object) array(['Massey', 'P.', ''], dtype=object) array(['Dall', 'T. H.', ''], dtype=object) array(['Moffat', 'A. F. J.', ''], dtype=object) array(['Morrell', 'N.', ''], dtype=object) array(['Corcoran', 'M.', ''], dtype=object) array(['Kaufer', 'A.', ''], dtype=object) array(['Naze', 'Y.', ''], dtype=object) array(['Pittard', 'J.', ''], dtype=object) array(['-Louis', 'N. St.', ''], dtype=object) array(['Fullerton', 'A.', ''], dtype=object) array(['Massa', 'D.', ''], dtype=object) array(['Pollock', 'A. M. T.', ''], dtype=object)]
4,671
1705.07268
Koichi Takase
Koichi Takase
On generic supercuspidal representations of $Sp_{2n}$
17pages, no figures
null
null
null
math.NT math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We will construct a family of irreducible generic supercuspidal representations of the symplectic groups over non-archimedian local field $F$ of odd residual characteristic. The supercuspidal representations are compactly induced from irreducible representations of the hyperspecial compact subgroup which are inflated from irreducible representations of finite symplectic groups over the finite quotient ring of the integer ring of $F$ modulo high powers of the prime element.
[{'version': 'v1', 'created': 'Sat, 20 May 2017 07:00:30 GMT'}]
2017-05-23
[array(['Takase', 'Koichi', ''], dtype=object)]
4,672
astro-ph/0110146
Tae Furusho
T. Furusho (1), N. Y. Yamasaki (2), T. Ohashi (2), R. Shibata (3), and H. Ezawa(4)((1)NASA/GSFC, (2)Tokyo Metro. Univ., (3)ISAS, (4)NAO/NRO)
Temperature Map of the Perseus Cluster of Galaxies Observed with ASCA
11 pages, 3 figures (including color), accepted for publication in ApJ Letters
null
10.1086/324758
null
astro-ph
null
We present two-dimensional temperature map of the Perseus cluster based on multi-pointing observations with the ASCA GIS, covering a region with a diameter of ~2^\circ. By correcting for the effect of the X-ray telescope response, the temperatures were estimated from hardness ratios and the complete temperature structure of the cluster with a spatial resolution of about 100 kpc was obtained for the first time. There is an extended cool region with a diameter of ~20' and kT ~5 keV at about 20' east from the cluster center. This region also shows higher surface brightness and is surrounded by a large ring-like hot region with kT > 7 keV, and likely to be a remnant of a merger with a poor cluster. Another extended cool region is extending outward from the IC 310 subcluster. These features and the presence of several other hot and cool blobs suggest that this rich cluster has been formed as a result of a repetition of many subcluster mergers.
[{'version': 'v1', 'created': 'Fri, 5 Oct 2001 16:12:22 GMT'}]
2009-11-07
[array(['Furusho', 'T.', '', 'NASA/GSFC'], dtype=object) array(['Yamasaki', 'N. Y.', '', 'Tokyo Metro. Univ'], dtype=object) array(['Ohashi', 'T.', '', 'Tokyo Metro. Univ'], dtype=object) array(['Shibata', 'R.', '', 'ISAS'], dtype=object) array(['Ezawa', 'H.', '', 'NAO/NRO'], dtype=object)]
4,673
1610.03415
Martin Hairer
Martin Hairer, Jonathan Mattingly
The strong Feller property for singular stochastic PDEs
updated references and fixed typos
null
null
null
math.PR math-ph math.AP math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that the Markov semigroups generated by a large class of singular stochastic PDEs satisfy the strong Feller property. These include for example the KPZ equation and the dynamical $\Phi^4_3$ model. As a corollary, we prove that the Brownian bridge measure is the unique invariant measure for the KPZ equation with periodic boundary conditions.
[{'version': 'v1', 'created': 'Tue, 11 Oct 2016 16:25:27 GMT'} {'version': 'v2', 'created': 'Tue, 25 Apr 2017 08:34:44 GMT'}]
2017-04-26
[array(['Hairer', 'Martin', ''], dtype=object) array(['Mattingly', 'Jonathan', ''], dtype=object)]
4,674
1302.1459
Nikolaos Nomikos Mr.
Nikolaos Nomikos, Themistoklis Charalambous, Ioannis Krikidis, Dimitrios Skoutas, Demosthenes Vouyioukas, and Mikael Johansson
A Buffer-aided Successive Opportunistic Relay Selection Scheme with Power Adaptation and Inter-Relay Interference Cancellation for Cooperative Diversity Systems
Preliminary results of this article have been presented in the IEEE International Symposium on Personal Indoor and Mobile Radio Communications, 8-11 September, 2013, London, United Kingdom
null
10.1109/TCOMM.2015.2416234
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we consider a simple cooperative network consisting of a source, a destination and a cluster of decode-and-forward half-duplex relays. At each time-slot, the source and (possibly) one of the relays transmit a packet to another relay and the destination, respectively, resulting in inter-relay interference (IRI). In this work, with the aid of buffers at the relays, we mitigate the detrimental effect of IRI through interference cancellation. More specifically, we propose the min-power scheme that minimizes the total energy expenditure per time slot under an IRI cancellation scheme. Apart from minimizing the energy expenditure, the min-power selection scheme, also provides better throughput and lower outage probability than existing works in the literature. It is the first time that interference cancellation is combined with buffer-aided relays and power adaptation to mitigate the IRI and minimize the energy expenditure. The new relay selection policy is analyzed in terms of outage probability and diversity, by modeling the evolution of the relay buffers as a Markov Chain (MC). We construct the state transition matrix of the MC, and hence obtain the steady state with which we can characterize the outage probability. The proposed scheme outperforms relevant state-of-the-art relay selection schemes in terms of throughput, diversity and energy efficiency, as demonstrated via examples.
[{'version': 'v1', 'created': 'Wed, 6 Feb 2013 18:10:05 GMT'} {'version': 'v2', 'created': 'Thu, 17 Jul 2014 14:13:44 GMT'}]
2016-11-18
[array(['Nomikos', 'Nikolaos', ''], dtype=object) array(['Charalambous', 'Themistoklis', ''], dtype=object) array(['Krikidis', 'Ioannis', ''], dtype=object) array(['Skoutas', 'Dimitrios', ''], dtype=object) array(['Vouyioukas', 'Demosthenes', ''], dtype=object) array(['Johansson', 'Mikael', ''], dtype=object)]
4,675
cond-mat/0510583
Yogesh Singh
Yogesh Singh, R. S. Sannabhadti and S. Ramakrishnan
Low temperature properties of a new Kondo Lattice compound Yb$_2$Ir$_3$Sn$_5$
3 pdf pages, 2 figures, 8references
To be presented at the national DAE Solid State Physics Symposium, Mumbai, India (2005)
null
null
cond-mat.str-el
null
We report the preparation and results of our magnetic and transport measurements on a new Yb-based ternary compound Yb$_2$Ir$_3$Sn$_5$. This compound forms in the orthorhombic Cmc21 structure. DC magnetic susceptibility between 1.8 K and 300 K reveal that Yb is in its magnetic trivalent state in this compound. Electrical resistivity measurements down to 1. 5K show a behavior typical of Kondo lattice compounds with a minimum in resistivity around 8K and a coherence peak near 3K. AC magnetic susceptibility down to 100mK reveals an anti-ferromagnetic transition below 1.35 K.
[{'version': 'v1', 'created': 'Fri, 21 Oct 2005 15:08:24 GMT'}]
2007-05-23
[array(['Singh', 'Yogesh', ''], dtype=object) array(['Sannabhadti', 'R. S.', ''], dtype=object) array(['Ramakrishnan', 'S.', ''], dtype=object)]
4,676
1606.04038
Yongxin Yang
Yongxin Yang, Timothy M. Hospedales
Trace Norm Regularised Deep Multi-Task Learning
Submission to Workshop track - ICLR 2017
null
null
null
cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a framework for training multiple neural networks simultaneously. The parameters from all models are regularised by the tensor trace norm, so that each neural network is encouraged to reuse others' parameters if possible -- this is the main motivation behind multi-task learning. In contrast to many deep multi-task learning models, we do not predefine a parameter sharing strategy by specifying which layers have tied parameters. Instead, our framework considers sharing for all shareable layers, and the sharing strategy is learned in a data-driven way.
[{'version': 'v1', 'created': 'Mon, 13 Jun 2016 17:15:43 GMT'} {'version': 'v2', 'created': 'Fri, 17 Feb 2017 01:33:17 GMT'}]
2017-02-20
[array(['Yang', 'Yongxin', ''], dtype=object) array(['Hospedales', 'Timothy M.', ''], dtype=object)]
4,677
2207.00963
Anders Karlsson
Anders Karlsson
A metric fixed point theorem and some of its applications
22 pages
null
null
null
math.FA math.MG
http://creativecommons.org/licenses/by/4.0/
A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is new even for isometries of Banach spaces as well as for non-locally compact CAT(0)-spaces and injective spaces. Examples of actions on non-proper CAT(0)-spaces come from the study of diffeomorphism groups, birational transformations, and compact K\"ahler manifolds. A special case of the fixed point theorem provides a novel mean ergodic theorem that in the Hilbert space case implies von Neumann's theorem. The theorem accommodates classically fixed-point-free isometric maps such as those of Kakutani, Edelstein, Alspach and Prus. Moreover, from the main theorem together with some geometric arguments of independent interest, one can deduce that every bounded invertible operator of a Hilbert space admits a nontrivial invariant metric functional on the space of positive operators. This is a result in the direction of the invariant subspace problem although its full meaning is dependent on a future determination of such metric functionals.
[{'version': 'v1', 'created': 'Sun, 3 Jul 2022 06:07:04 GMT'} {'version': 'v2', 'created': 'Wed, 18 Jan 2023 12:15:13 GMT'}]
2023-01-19
[array(['Karlsson', 'Anders', ''], dtype=object)]
4,678
2012.09194
Yuan Su
Yuan Su, Hsin-Yuan Huang, Earl T. Campbell
Nearly tight Trotterization of interacting electrons
58 pages, 2 figures
Quantum 5, 495 (2021)
10.22331/q-2021-07-05-495
null
quant-ph cond-mat.str-el cs.DS
http://creativecommons.org/licenses/by/4.0/
We consider simulating quantum systems on digital quantum computers. We show that the performance of quantum simulation can be improved by simultaneously exploiting commutativity of the target Hamiltonian, sparsity of interactions, and prior knowledge of the initial state. We achieve this using Trotterization for a class of interacting electrons that encompasses various physical systems, including the plane-wave-basis electronic structure and the Fermi-Hubbard model. We estimate the simulation error by taking the transition amplitude of nested commutators of the Hamiltonian terms within the $\eta$-electron manifold. We develop multiple techniques for bounding the transition amplitude and expectation of general fermionic operators, which may be of independent interest. We show that it suffices to use $\left(\frac{n^{5/3}}{\eta^{2/3}}+n^{4/3}\eta^{2/3}\right)n^{o(1)}$ gates to simulate electronic structure in the plane-wave basis with $n$ spin orbitals and $\eta$ electrons, improving the best previous result in second quantization up to a negligible factor while outperforming the first-quantized simulation when $n=\eta^{2-o(1)}$. We also obtain an improvement for simulating the Fermi-Hubbard model. We construct concrete examples for which our bounds are almost saturated, giving a nearly tight Trotterization of interacting electrons.
[{'version': 'v1', 'created': 'Wed, 16 Dec 2020 19:00:05 GMT'} {'version': 'v2', 'created': 'Wed, 30 Jun 2021 18:00:02 GMT'}]
2021-07-06
[array(['Su', 'Yuan', ''], dtype=object) array(['Huang', 'Hsin-Yuan', ''], dtype=object) array(['Campbell', 'Earl T.', ''], dtype=object)]
4,679
hep-ph/0512238
Andrzej Buras
Andrzej J. Buras
Photon Structure Functions: 1978 AND 2005
9 pages, 4 figures, to appear in Acta Physica Polonica, References added
ActaPhys.Polon.B37:609-618,2006
null
TUM-HEP-616/05
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I describe the early days of the photon structure functions. In particular I discuss the parton model result of Walsh and Zerwas (1973), leading order QCD calculation of Witten (1976) and next-to-leading QCD calculation of Bardeen and myself (1978). A very brief summary of the progress made from 1978 until 2005 is also given.
[{'version': 'v1', 'created': 'Mon, 19 Dec 2005 17:04:49 GMT'} {'version': 'v2', 'created': 'Thu, 29 Nov 2012 15:07:06 GMT'}]
2012-11-30
[array(['Buras', 'Andrzej J.', ''], dtype=object)]
4,680
1806.08030
Weihai Zhang
Yao Liqiang and Zhang Weihai
Stability analysis of random nonlinear systems with time-varying delay and its application
null
null
null
null
math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper studies a class of random nonlinear systems with time-varying delay, in which the $r$-order moment ($r\geq1$) of the random disturbance is finite. Firstly, some general conditions are proposed to guarantee the existence and uniqueness of the global solution to random nonlinear time-delay systems. Secondly, some definitions and criteria on noise-to-state stability in the moment sense and in probability sense are given by Lyapunov method respectively. Finally, two regulation controllers are constructed respectively for two corresponding random nonlinear time-delay systems and the effectiveness of two proposed recursive procedures are demonstrated by two simulation examples.
[{'version': 'v1', 'created': 'Thu, 21 Jun 2018 01:04:12 GMT'}]
2018-06-22
[array(['Liqiang', 'Yao', ''], dtype=object) array(['Weihai', 'Zhang', ''], dtype=object)]
4,681
math/0212019
Marian Grendar
M. Grendar, Jr., M. Grendar
Randomness as an Equilibrium. Potential and Probability Density
4 pages, MaxEnt 2001 workshop
In: Bayesian inference and Maximum Entropy methods in Science and Engineering, R. L. Fry (ed.), AIP (Melville), 405-410, 2002
null
null
math.PR math-ph math.MP
null
Randomness is viewed through an analogy between a physical quantity, density of gas, and a mathematical construct -- probability density. Boltzmann's deduction of equilibrium distribution of ideal gas placed in an external potential field than provides a way of viewing probability density from a perspective of forces/potentials, hidden behind it.
[{'version': 'v1', 'created': 'Mon, 2 Dec 2002 14:10:33 GMT'}]
2012-08-27
[array(['Grendar,', 'M.', 'Jr.'], dtype=object) array(['Grendar', 'M.', ''], dtype=object)]
4,682
2210.16484
Jun Xia
Jun Xia, Yanqiao Zhu, Yuanqi Du, Stan Z.Li
A Systematic Survey of Chemical Pre-trained Models
IJCAI 2023, Survey Track
null
null
null
cs.LG cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Deep learning has achieved remarkable success in learning representations for molecules, which is crucial for various biochemical applications, ranging from property prediction to drug design. However, training Deep Neural Networks (DNNs) from scratch often requires abundant labeled molecules, which are expensive to acquire in the real world. To alleviate this issue, tremendous efforts have been devoted to Molecular Pre-trained Models (CPMs), where DNNs are pre-trained using large-scale unlabeled molecular databases and then fine-tuned over specific downstream tasks. Despite the prosperity, there lacks a systematic review of this fast-growing field. In this paper, we present the first survey that summarizes the current progress of CPMs. We first highlight the limitations of training molecular representation models from scratch to motivate CPM studies. Next, we systematically review recent advances on this topic from several key perspectives, including molecular descriptors, encoder architectures, pre-training strategies, and applications. We also highlight the challenges and promising avenues for future research, providing a useful resource for both machine learning and scientific communities.
[{'version': 'v1', 'created': 'Sat, 29 Oct 2022 03:53:11 GMT'} {'version': 'v2', 'created': 'Fri, 3 Feb 2023 08:30:51 GMT'} {'version': 'v3', 'created': 'Thu, 27 Apr 2023 03:30:37 GMT'}]
2023-04-28
[array(['Xia', 'Jun', ''], dtype=object) array(['Zhu', 'Yanqiao', ''], dtype=object) array(['Du', 'Yuanqi', ''], dtype=object) array(['Li', 'Stan Z.', ''], dtype=object)]
4,683
cond-mat/0604317
Peter Bokes
P. Bokes, J. Jung, and R. W. Godby
Quantum conductance of homogeneous and inhomogeneous interacting electron systems
for resolution of the here published results see Phys. Rev. B 76, 125433 (2007)
null
null
null
cond-mat.mtrl-sci
null
We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting conductance appear as a consequence of the functional form of the exchange-correlation kernel at small frequencies and wavevectors. The simple adiabatic local-density approximation and non-local density-terms in the kernel both give rise to significant corrections in general. In the homogeneous electron gas, the former correction remains significant, and leads to a failure of linear-response theory for densities below a critical value.
[{'version': 'v1', 'created': 'Wed, 12 Apr 2006 14:22:16 GMT'}]
2007-10-04
[array(['Bokes', 'P.', ''], dtype=object) array(['Jung', 'J.', ''], dtype=object) array(['Godby', 'R. W.', ''], dtype=object)]
4,684
astro-ph/0408525
Yuri Levin
Christopher D. Matzner (University of Toronto), Yuri Levin (CITA)
Protostellar Disks: Formation, Fragmentation, and the Brown Dwarf Desert
22 pages, 2 figures, accepted by ApJ. Improved discussions of the criterion for local fragmentation and of the effects of stellar radiation; expanded comparisons to numerical simulations and to observations
null
10.1086/430813
null
astro-ph
null
We argue that gravitational instability of typical protostellar disks is not a viable mechanism for the fragmentation into multiple systems -- binary stars, brown dwarf companions, or gas giant planets -- except at periods above roughly 20,000 years. Our conclusion is based on a comparison between prior numerical work on disk self-gravity by Gammie (2001) with our own analytical models for the dynamical and thermal state of protostellar disks. For this purpose we first develop a simple theory for the initial conditions of low-mass star formation, accounting for the effect of turbulence on the characteristic mass, accretion rate, and angular momentum of collaping cores. Second, we examine the criterion for fragmentation to occur during star formation, concentrating on the self-gravitational instabilities of protostellar accretion disks in their main accretion phase. Self-gravitational instabilities are strongly dependent on the thermal state of the disk, and we find that the combination of viscous heating and stellar irradiation quenches fragmentation due to Toomre's local instability. Global instability of the disk may be required to process mass supply, but is unlikely to produce fragments. Our findings help to explain the dearth of substellar companions to stellar type stars: the brown dwarf desert.
[{'version': 'v1', 'created': 'Fri, 27 Aug 2004 18:04:23 GMT'} {'version': 'v2', 'created': 'Sat, 9 Apr 2005 04:03:22 GMT'}]
2009-11-10
[array(['Matzner', 'Christopher D.', '', 'University of Toronto'], dtype=object) array(['Levin', 'Yuri', '', 'CITA'], dtype=object)]
4,685
1912.01058
David Blyth
D. Blyth, N. Mullins, E. Galyaev, J. Holmes
Nonnegative Gaussian process tomography for generalized segmented planar detectors
null
null
10.1088/1748-0221/15/06/P06021
null
physics.ins-det eess.IV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The concept of Gaussian process tomography along with nonnegative constraints is applied in the context of high-resolution image reconstruction using segmented planar detectors with few readout channels.Expanding on the concept of 2-D projections onto strip-like readout segmentations, 3-D projections as well as more generalized detector segmentation and readout channel mappings are explored. A focus is placed on reconstructing dose distributions in proton therapy pencil beam scanning, and a fast, approximate approach to applying nonnegative constraints is developed and motivated for use in proton therapy beam imaging.
[{'version': 'v1', 'created': 'Mon, 2 Dec 2019 19:45:35 GMT'} {'version': 'v2', 'created': 'Mon, 13 Apr 2020 06:12:27 GMT'}]
2020-08-26
[array(['Blyth', 'D.', ''], dtype=object) array(['Mullins', 'N.', ''], dtype=object) array(['Galyaev', 'E.', ''], dtype=object) array(['Holmes', 'J.', ''], dtype=object)]
4,686
1211.4070
Petarpa Boonserm
Tritos Ngampitipan and Petarpa Boonserm
Bounding the Greybody Factors for Non-rotating Black Holes
21 pages, 11 figures
null
10.1142/S0218271813500582
null
math-ph gr-qc math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Semiclassical black holes emit radiation called Hawking radiation. Such radiation, as seen by an asymptotic observer far outside the black hole, differs from original radiation near the horizon of the black hole by a redshift factor and the so-called "greybody factor". In this paper, we concentrate on the greybody factor-various bounds for the greybody factors of non-rotating black holes are obtained, concentrating on charged Reissner-Nordstrom and Reissner-Nordstrom-de Sitter black holes. These bounds can be derived by using a 2x2 transfer matrix formalism. It is found that the charges of black holes act as efficient barriers. Furthermore, adding extra dimensions to spacetime can shield Hawking radiation. Finally, the cosmological constant can increase the emission rate of Hawking radiation.
[{'version': 'v1', 'created': 'Sat, 17 Nov 2012 03:29:45 GMT'} {'version': 'v2', 'created': 'Thu, 22 Nov 2012 07:18:01 GMT'}]
2015-06-12
[array(['Ngampitipan', 'Tritos', ''], dtype=object) array(['Boonserm', 'Petarpa', ''], dtype=object)]
4,687
2305.14594
Salem Lahlou
Salem Lahlou, Joseph D. Viviano, Victor Schmidt
torchgfn: A PyTorch GFlowNet library
null
null
null
null
cs.LG
http://creativecommons.org/licenses/by/4.0/
The increasing popularity of generative flow networks (GFlowNets or GFNs) is accompanied with a proliferation of code sources. This hinders the implementation of new features, such as training losses, that can readily be compared to existing ones, on a set of common environments. In addition to slowing down research in the field of GFlowNets, different code bases use different conventions, that might be confusing for newcomers. `torchgfn` is a library built on top of PyTorch, that aims at addressing both problems. It provides user with a simple API for environments, and useful abstractions for samplers and losses. Multiple examples are provided, replicating published results. The code is available in https://github.com/saleml/torchgfn.
[{'version': 'v1', 'created': 'Wed, 24 May 2023 00:20:59 GMT'}]
2023-05-25
[array(['Lahlou', 'Salem', ''], dtype=object) array(['Viviano', 'Joseph D.', ''], dtype=object) array(['Schmidt', 'Victor', ''], dtype=object)]
4,688
1911.02370
Bulat Nurmievich Khabibullin
Liliia Gabdrakhmanova, Bulat Khabibullin
A Small Intervals Theorem for Subharmonic Functions
9 pages, in Russian
null
null
null
math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $\mathbb C$ be the complex plane, $E$ be a measurable subset in a segment $[0, R]$ of the positive semiaxis $\mathbb R^+$, $u\not\equiv -\infty$ be a subharmonic function on $\mathbb C$. The main result of this article is an upper estimate of the integral of the module $|u|$ over a subset of $E$ through the maximum of the function $u$ on a circle of radius $R$ centered at zero and a linear Lebesgue measure of subset $E$. Our result develops one of the classical theorems of R. Nevanlinna in the case of $E=[0, R]$ and versions of so-called Small Arcs Lemma by Edrei-Fuchs for small intervals on $\mathbb R^+$ from the works of A.F. Grishin, M.L. Sodin, T.I. Malyutina. Our obtained estimate is uniform in the sense that the constants in the estimates are absolute and do not depend on the subharmonic function under the semi-normalization $u(0)\geq 0$.
[{'version': 'v1', 'created': 'Fri, 1 Nov 2019 13:46:28 GMT'}]
2019-11-07
[array(['Gabdrakhmanova', 'Liliia', ''], dtype=object) array(['Khabibullin', 'Bulat', ''], dtype=object)]
4,689
cond-mat/0404012
Hui Hu
Hui Hu, A. Minguzzi, Xia-Ji Liu, and M. P. Tosi
Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
4 pages and 4 figures; proof version with more extensive discussions on the comparison between theoretical results and experimental findings; to appear in Phys. Rev. Lett. (Nov. 2004)
Phys. Rev. Lett. 93, 190403 (2004).
10.1103/PhysRevLett.93.190403
null
cond-mat.stat-mech
null
We evaluate the frequencies of collective modes and the anisotropic expansion rate of a harmonically trapped Fermi superfluid at varying coupling strengths across a Feshbach resonance driving a BCS-BEC crossover. The equations of motion for the superfluid are obtained from a microscopic mean-field expression for the compressibility and are solved within a scaling ansatz. Our results confirm non-monotonic behavior in the crossover region and are in quantitative agreement with current measurements of the transverse breathing mode by Kinast {\it et al.} [Phys. Rev. Lett. {\bf 92}, 150402 (2004)] and of the axial breathing mode by Bartenstein {\it et al.} [Phys. Rev. Lett. {\bf 92}, 203201 (2004)].
[{'version': 'v1', 'created': 'Thu, 1 Apr 2004 08:54:54 GMT'} {'version': 'v2', 'created': 'Tue, 26 Oct 2004 02:05:39 GMT'}]
2007-05-23
[array(['Hu', 'Hui', ''], dtype=object) array(['Minguzzi', 'A.', ''], dtype=object) array(['Liu', 'Xia-Ji', ''], dtype=object) array(['Tosi', 'M. P.', ''], dtype=object)]
4,690
1102.4922
Minghao Yin
Minghao Yin and Ping Huang
Counting Solutions of Constraint Satisfiability Problems:Exact Phase Transitions and Approximate Algorithm
submitted to AAAI-11
null
null
null
cs.AI cs.CC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The study of phase transition phenomenon of NP complete problems plays an important role in understanding the nature of hard problems. In this paper, we follow this line of research by considering the problem of counting solutions of Constraint Satisfaction Problems (#CSP). We consider the random model, i.e. RB model. We prove that phase transition of #CSP does exist as the number of variables approaches infinity and the critical values where phase transitions occur are precisely located. Preliminary experimental results also show that the critical point coincides with the theoretical derivation. Moreover, we propose an approximate algorithm to estimate the expectation value of the solutions number of a given CSP instance of RB model.
[{'version': 'v1', 'created': 'Thu, 24 Feb 2011 08:07:54 GMT'}]
2011-02-25
[array(['Yin', 'Minghao', ''], dtype=object) array(['Huang', 'Ping', ''], dtype=object)]
4,691
1806.07265
Leonid Chekhov O
Jan Ambj{\o}rn and Leonid O. Chekhov
Spectral curves for hypergeometric Hurwitz numbers
13 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1409.3553
null
10.1016/j.geomphys.2018.07.004
null
math-ph hep-th math.AG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider multi-matrix models that are generating functions for the numbers of branched covers of the complex projective line ramified over $n$ fixed points $z_i$, $i=1,\dots,n$, (generalized Grotendieck's dessins d'enfants) of fixed genus, degree, and the ramification profiles at two points, $z_1$ and $z_n$. Ramifications at other $n-2$ points enter the sum with the length of the profile at $z_2$ and with the total length of profiles at the remaining $n-3$ points. We find the spectral curve of the model for $n=5$ using the loop equation technique for the above generating function represented as a chain of Hermitian matrices with a nearest-neighbor interaction of the type tr$M_iM_{i+1}^{-1}$. The obtained spectral curve is algebraic and provides all necessary ingredients for the topological recursion procedure producing all-genus terms of the asymptotic expansion of our model in $1/N^2$. We discuss braid-group symmetries of our model and perspectives of the proposed method.
[{'version': 'v1', 'created': 'Mon, 18 Jun 2018 12:25:47 GMT'}]
2018-08-15
[array(['Ambjørn', 'Jan', ''], dtype=object) array(['Chekhov', 'Leonid O.', ''], dtype=object)]
4,692
2101.02347
Chao Gao
Chao Gao and Anderson Y. Zhang
SDP Achieves Exact Minimax Optimality in Phase Synchronization
null
null
null
null
math.ST math.OC stat.ML stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the phase synchronization problem with noisy measurements $Y=z^*z^{*H}+\sigma W\in\mathbb{C}^{n\times n}$, where $z^*$ is an $n$-dimensional complex unit-modulus vector and $W$ is a complex-valued Gaussian random matrix. It is assumed that each entry $Y_{jk}$ is observed with probability $p$. We prove that an SDP relaxation of the MLE achieves the error bound $(1+o(1))\frac{\sigma^2}{2np}$ under a normalized squared $\ell_2$ loss. This result matches the minimax lower bound of the problem, and even the leading constant is sharp. The analysis of the SDP is based on an equivalent non-convex programming whose solution can be characterized as a fixed point of the generalized power iteration lifted to a higher dimensional space. This viewpoint unifies the proofs of the statistical optimality of three different methods: MLE, SDP, and generalized power method. The technique is also applied to the analysis of the SDP for $\mathbb{Z}_2$ synchronization, and we achieve the minimax optimal error $\exp\left(-(1-o(1))\frac{np}{2\sigma^2}\right)$ with a sharp constant in the exponent.
[{'version': 'v1', 'created': 'Thu, 7 Jan 2021 03:14:05 GMT'} {'version': 'v2', 'created': 'Wed, 29 Dec 2021 18:59:19 GMT'} {'version': 'v3', 'created': 'Tue, 8 Mar 2022 02:28:52 GMT'} {'version': 'v4', 'created': 'Fri, 18 Mar 2022 03:45:12 GMT'}]
2022-03-21
[array(['Gao', 'Chao', ''], dtype=object) array(['Zhang', 'Anderson Y.', ''], dtype=object)]
4,693
1102.4066
Luigi Del Debbio
Luigi Del Debbio
The conformal window on the lattice
Plenary talk at the Lattice 2010 conference. 26 pages, 12 figures. Extended bibliography
null
null
null
hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Lattice simulations can play an important role in the study of dynamical electroweak symmetry breaking by providing quantitative results on the nonperturbative dynamics of candidate theories. For this programme to succeed, it is crucial to identify the questions that are relevant for phenomenology, and develop the tools that will provide robust answers to these questions. The existence of a conformal window for nonsupersymmetric gauge theories, and its characterization, is one of the phenomenologically important problems that can be studied on the lattice. We summarize the recent results from studies of IR fixed points by numerical simulations, discuss their current limitations, and analyze the future perspectives.
[{'version': 'v1', 'created': 'Sun, 20 Feb 2011 12:45:30 GMT'}]
2011-02-22
[array(['Del Debbio', 'Luigi', ''], dtype=object)]
4,694
1603.09075
Yasutaka Hiraki Dr
Yasutaka Hiraki
Ionospheric current system accompanied by auroral vortex streets
8 pages, 4 figures
null
null
null
physics.space-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
High resolution optical measurements have revealed that a sudden brightening of aurora and its deformation from an arc-like to a vortex street structure appear just at the onset of substorm. The instability of Alfv$\acute{\rm e}$n waves reflected from the ionosphere has been studied by means of magnetohydrodynamic simulations in order to comprehend the formation of auroral vortex streets. Our previous work reported that an initially placed arc intensifies, splits, and deforms into a vortex street during a couple of minutes, and the prime key is an enhancement of the convection electric field. This study elaborated physics of the ionospheric horizontal currents related to the vortex street in the context of so-called Cowling polarization. One component is due to the perturbed electric field by Alfv$\acute{\rm e}$n waves, and the other is due to the perturbed electron density (or polarization) in the ionosphere. It was found that, when a vortex street develops, upward/downward pair currents in its leading/trailing sides balance with an westward polarized component of the Hall current; it generates an eastward perturbed component of the Pedersen current. It was also found that both the perturbed component of the Hall current and the polarized component of the Pedersen current point equatorward, penetrating between the pair currents.
[{'version': 'v1', 'created': 'Wed, 30 Mar 2016 08:29:25 GMT'}]
2016-03-31
[array(['Hiraki', 'Yasutaka', ''], dtype=object)]
4,695
2211.05088
Philip Bull
Fraser Kennedy, Philip Bull, Michael Wilensky, Jacob Burba, Samir Choudhuri
Statistical recovery of 21cm visibilities and their power spectra with Gaussian constrained realisations and Gibbs sampling
Updated to match accepted version. Note minor changes to power spectrum plots due to a small bugfix
null
null
null
astro-ph.CO astro-ph.IM
http://creativecommons.org/licenses/by-sa/4.0/
Radio interferometers designed to probe the 21cm signal from Cosmic Dawn and the Epoch of Reionisation must contend with systematic effects that make it difficult to achieve sufficient dynamic range to separate the 21cm signal from foreground emission and other effects. For instance, the instrument's chromatic response modulates the otherwise spectrally smooth foregrounds, making them difficult to model, while a significant fraction of the data must be excised due to the presence of radio frequency interference (RFI), leaving gaps in the data. Errors in modelling the (modulated and gappy) foregrounds can easily generate spurious contamination of what should otherwise be 21cm signal-dominated modes. Various approaches have been developed to mitigate these issues by (e.g.) using non-parametric reconstruction of the foregrounds, in-painting the gaps, and weighting the data to reduce the level of contamination. We present a Bayesian statistical method that combines these approaches, using the coupled techniques of Gaussian constrained realisations (GCR) and Gibbs sampling. This provides a way of drawing samples from the joint posterior distribution of the 21cm signal modes and their power spectrum in the presence of gappy data and an uncertain foreground model in a computationally scalable manner. The data are weighted by an inverse covariance matrix that is estimated as part of the inference, along with a foreground model that can then be marginalised over. We demonstrate the application of this technique on a simulated HERA-like delay spectrum analysis, comparing three different approaches for accounting for the foreground components.
[{'version': 'v1', 'created': 'Wed, 9 Nov 2022 18:19:12 GMT'} {'version': 'v2', 'created': 'Fri, 17 Mar 2023 11:29:55 GMT'}]
2023-03-20
[array(['Kennedy', 'Fraser', ''], dtype=object) array(['Bull', 'Philip', ''], dtype=object) array(['Wilensky', 'Michael', ''], dtype=object) array(['Burba', 'Jacob', ''], dtype=object) array(['Choudhuri', 'Samir', ''], dtype=object)]
4,696
1103.0062
Peter Sin
Andries E. Brouwer, Joshua E. Ducey and Peter Sin
The Elementary Divisors of the Incidence Matrix of Skew Lines in PG(3,q)
13 pages. The results of this paper supersede those in the paper arXiv:math/1001.2551 V2. Minor corrections
null
null
null
math.CO math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The elementary divisors of the incidence matrix of lines in PG(3,q) are computed, where two lines are incident if and only if they are skew.
[{'version': 'v1', 'created': 'Tue, 1 Mar 2011 01:47:42 GMT'} {'version': 'v2', 'created': 'Thu, 6 Oct 2011 17:47:06 GMT'}]
2011-10-07
[array(['Brouwer', 'Andries E.', ''], dtype=object) array(['Ducey', 'Joshua E.', ''], dtype=object) array(['Sin', 'Peter', ''], dtype=object)]
4,697
1305.4667
Ciprian Manolescu
Ciprian Manolescu
On the intersection forms of spin four-manifolds with boundary
fixed Lemma 3.8 and changed Definition 4.2
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove Furuta-type bounds for the intersection forms of spin cobordisms between homology 3-spheres. The bounds are in terms of a new numerical invariant of homology spheres, obtained from Pin(2)-equivariant Seiberg-Witten Floer K-theory. In the process we introduce the notion of a Floer K_G-split homology sphere; this concept may be useful in an approach to the 11/8 conjecture.
[{'version': 'v1', 'created': 'Mon, 20 May 2013 21:47:16 GMT'} {'version': 'v2', 'created': 'Fri, 7 Jun 2013 16:54:03 GMT'} {'version': 'v3', 'created': 'Mon, 23 Dec 2013 11:51:30 GMT'} {'version': 'v4', 'created': 'Tue, 14 Jan 2014 03:19:40 GMT'}]
2014-01-15
[array(['Manolescu', 'Ciprian', ''], dtype=object)]
4,698
2107.04873
Salil Koner
Salil Koner, Jonathan P Williams
The EAS approach to variable selection for multivariate response data in high-dimensional settings
null
null
null
null
stat.ME math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we develop an {\em epsilon admissible subsets} (EAS) model selection approach for performing group variable selection in the high-dimensional multivariate regression setting. This EAS strategy is designed to estimate a posterior-like, generalized fiducial distribution over a parsimonious class of models in the setting of correlated predictors and/or in the absence of a sparsity assumption. The effectiveness of our approach, to this end, is demonstrated empirically in simulation studies, and is compared to other state-of-the-art model/variable selection procedures. Furthermore, assuming a matrix-Normal linear model we show that the EAS strategy achieves {\em strong model selection consistency} in the high-dimensional setting if there does exist a sparse, true data generating set of predictors. In contrast to Bayesian approaches for model selection, our generalized fiducial approach completely avoids the problem of simultaneously having to specify arbitrary prior distributions for model parameters and penalize model complexity; our approach allows for inference directly on the model complexity. \textcolor{black}{Implementation of the method is illustrated through yeast data to identify significant cell-cycle regulating transcription factors.
[{'version': 'v1', 'created': 'Sat, 10 Jul 2021 16:47:02 GMT'} {'version': 'v2', 'created': 'Thu, 2 Dec 2021 06:05:55 GMT'} {'version': 'v3', 'created': 'Mon, 12 Jun 2023 05:11:16 GMT'}]
2023-06-13
[array(['Koner', 'Salil', ''], dtype=object) array(['Williams', 'Jonathan P', ''], dtype=object)]
4,699
2109.03597
Rakesh Arora
Rakesh Arora and Sergey Shmarev
Existence and regularity results for a class of parabolic problems with double phase flux of variable growth
Comments are welcome
null
null
null
math.AP
http://creativecommons.org/publicdomain/zero/1.0/
We study the homogeneous Dirichlet problem for the equation \[ u_t-\operatorname{div}\left((a(z)\vert \nabla u\vert ^{p(z)-2}+b(z)\vert \nabla u\vert ^{q(z)-2})\nabla u\right)=f\quad \text{in $Q_T=\Omega\times (0,T)$}, \] where $\Omega\subset \mathbb{R}^N$, $N\geq 2$, is a bounded domain with $\partial\Omega \in C^2$. The variable exponents $p$, $q$ and the nonnegative modulating coefficients $a$, $b$ are given Lipschitz-continuous functions of the argument $z=(x,t)\in Q_T$. It is assumed that $\frac{2N}{N+2}<p(z),\ q(z)$ and that the modulating coefficients and growth exponents satisfy the balance conditions \[ \text{$a(z)+b(z)\geq \alpha>0$ in $\overline{Q}_T$},\; \alpha=const;\qquad \text{$\vert p(z)-q(z)\vert <\frac{2}{N+2}$ in $\overline{Q}_T$}. \] We find conditions on the source $f$ and the initial data $u(\cdot,0)$ that guarantee the existence of a unique strong solution $u$ with $u_t\in L^2(Q_T)$ and $a\vert \nabla u\vert ^{p}+b\vert \nabla u\vert ^q\in L^\infty(0,T;L^1(\Omega))$. The solution possesses the property of global higher integrability of the gradient, \[ \vert \nabla u\vert ^{\min\{p(z),q(z)\}+r}\in L^1(Q_T)\quad \text{with any $r\in \left(0,\frac{4}{N+2}\right)$}, \] which is derived with the help of new interpolation inequalities in the variable Sobolev spaces. The second-order differentiability of the strong solution is proven: \[ D_{x_i}\left(\left(a\vert \nabla u\vert ^{p-2}+b\vert \nabla u\vert ^{q-2}\right)^{\frac{1}{2}}D_{x_j}u\right)\in L^2(Q_T),\quad i,j=1,2,\ldots,N. \]
[{'version': 'v1', 'created': 'Wed, 8 Sep 2021 12:48:52 GMT'}]
2021-09-09
[array(['Arora', 'Rakesh', ''], dtype=object) array(['Shmarev', 'Sergey', ''], dtype=object)]