Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision IntegralsThis article presents a common setting for the collision integrals St appearing in the kinetic theory of dense gases. It includes the collision integrals of the Enskog equation, of (a…Frédérique Charles, Zhe Chen, François Golse·Dec 21, 2024SaveLearn
Renormalisation group theory applied to x+x+x2=0The titular ordinary differential equation (ODE) is encountered in the theory of on-axis inertial particle capture by a blunt stationary collector at a viscous-flow stagnation point. Phase space for…Joshua F. Robinson, Patrick B. Warren·Dec 21, 2024SaveLearn
A Renormalization Group Approach to Higher Order Corrections to the Decay of Solutions to Nonlinear Integral EquationsIn this paper we employ the Renormalization Group (RG) method to study higher order corrections to the long-time asymptotics of a class of nonlinear integral equations with a generalized heat kernel…Gastão A. Braga, Jussara M. Moreira, Antônio Marcos da Silva et al.·Dec 20, 2024SaveLearn
Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic WavefunctionsFor bound states of atoms and molecules of N electrons we consider the corresponding K-particle reduced density matrices, (K), for 1 K N-1. Previously, eigenvalue bounds were…Peter Hearnshaw·Dec 20, 2024SaveLearn
Approximation of Schr\"odinger operators with point interactions on bounded domainsWe consider Schr\"odinger operators on a bounded domain ⊂ R3, with homogeneous Robin or Dirichlet boundary conditions on ∂ and a point (zero-range) interaction…Diego Noja, Raffaele Scandone·Dec 20, 2024SaveLearn
Topological junctions for one-dimensional systemsWe study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof…David Gontier, Clément Tauber·Dec 20, 2024SaveLearn
Fluctuations in Various Regimes of Non-Hermiticity and a Holographic PrincipleThe variance of the number of particles in a set is an important quantity in understanding the statistics of non-interacting fermionic systems in low dimensions. An exact map of their ground state in…G. Akemann, M. Duits, L. D. Molag·Dec 20, 2024SaveLearn
Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lema\'itre-Robertson-Walker spacetimes under finite speed of propagationBlowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lema\'itre-Robertson-Walker spacetimes. Effects of spatial expansion or contraction on…Makoto Nakamura, Takuma Yoshizumi·Dec 20, 2024SaveLearn
Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuumIn this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on ( Z)2 to their continuum counterparts on the plane, in an…Hao Shen, Scott A. Smith, Rongchan Zhu·Dec 19, 2024SaveLearn
Cyclic Representations of Uq(sl2) and its Borel Subalgebras at Roots of Unity and Q-operatorsWe consider the cyclic representations rs of Uq(sl2) at qN=1 that depend upon two points r,s in the chiral Potts algebraic curve. We show how rs…Robert Weston·Dec 19, 2024SaveLearn
Solving Unbalanced Optimal Transport on Point Cloud by Tangent Radial Basis Function MethodIn this paper, we solve unbalanced optimal transport (UOT) problem on surfaces represented by point clouds. Based on alternating direction method of multipliers algorithm, the original UOT problem…Jiangong Pan, Wei Wan, Chenlong Bao et al.·Dec 19, 2024SaveLearn
Heat Conduction with aging memoryThe term material with memory is generally used to indicate materials whose mechanical and/or thermodynamical behaviour depends not only on the process at the present time but also on the history of…Sandra Carillo, Claudio Giorgi·Dec 19, 2024SaveLearn
On the geometry of Lagrangian one-formsLagrangian multiform theory is a variational framework for integrable systems. In this article we introduce a new formulation which is based on symplectic geometry and which treats position, momentum…Vincent Caudrelier, Derek Harland·Dec 19, 2024SaveLearn
Clifford geometric algebra: Real and complex spinor data tablesThe modern algebra concepts are used to construct tables of algebraic spinors related to Clifford algebra multivectors with real and complex coefficients. The following data computed by Mathematica…A. Acus, A. Dargys·Dec 19, 2024SaveLearn
Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference FrameWe perform a detailed Lie symmetry analysis for the hyperbolic system of partial differential equations that describe the one-dimensional Shallow Water magnetohydrodynamics equations within a…Andronikos Paliathanasis, Amlan Halder·Dec 19, 2024SaveLearn
On material-uniform elastic bodies with disclinations and their homogenizationIn this note, we define material-uniform hyperelastic bodies (in the sense of Noll) containing discrete disclinations and dislocations, and study their properties. We show in a rigorous way that the…Cy Maor·Dec 18, 2024SaveLearn
Planar rooted line arrangements and an operad for factorized scatteringWe introduce two topological non- operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle ordering on a…Denis Bashkirov·Dec 18, 2024SaveLearn
Local enhancement of the mean-field approximation for bosonsWe study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation: At positive…Marius Lemm, Simone Rademacher, Jingxuan Zhang·Dec 18, 2024SaveLearn
Spectrum and Lifshitz tails for the Anderson model on the Sierpinski gasket graphIn this work, we study the Anderson model on the Sierpinski gasket graph. We first identify the almost sure spectrum of the Anderson model when the support of the random potential has no gaps. We…Laura Shou, Wei Wang, Shiwen Zhang·Dec 18, 2024SaveLearn
Higher rank elliptic partition functions and multisymmetric elliptic functionsWe introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested…Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai·Dec 18, 2024SaveLearn
On the maximal superintegrability of strongly isochronous HamiltoniansWe study strongly isochronous Hamiltonians that generate periodic time evolution with the same basic period for a dense set of initial values. We explain that all such Hamiltonians are maximally…L. Feher·Dec 18, 2024SaveLearn
A Family of Instanton-Invariants for Four-Manifolds and Their Relation to Khovanov HomologyThis article provides a review of the gauge-theoretic approach to Khovanov homology, framed in terms of a generalisation of Witten's original proposal. Concretely, the physical arguments underlying…Michael Bleher·Dec 17, 2024SaveLearn
W-algebras, Gaussian Free Fields and g-Dotsenko-Fateev integralsBased on the intrinsic connection between Gaussian Free Fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W-algebras. This is…Baptiste Cerclé·Dec 17, 2024SaveLearn
On Haantjes tensors for second-order superintegrable systemsThe vanishing of the Haantjes tensor is an important property that has been linked, for instance, to the existence of separation coordinates and the integrability of systems of hydrodynamic type. We…Ian Marquette, Damien McLeod, Serena Scapucci et al.·Dec 17, 2024SaveLearn
Hadwiger Models: Low-Temperature Behavior in a Natural Extension of the Ising ModelAll isometrically invariant Markov (strictly local) fields on binary assignments are induced by energy functions that can be represented as linear combinations of area, perimeter, and Euler…Summer Eldridge, Benjamin Schweinhart·Dec 16, 2024SaveLearn