Analysis on the cone of discrete Radon measuresWe study analysis on the cone of discrete Radon measures over a locally compact Polish space X. We discuss probability measures on the cone and the corresponding correlation measures and…Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling et al.·Dec 6, 2023SaveLearn
Note on the summational invariant and corresponding local Maxwellian for the Enskog equationThe summational invariant and the corresponding local Maxwellian that are compatible with the Enskog equation are discussed, with special interest in the presence of a boundary. The local Maxwellian…Shigeru Takata, Aoto Takahashi·Dec 5, 2023SaveLearn
Physics and Geometry from a Lagrangian: Dirac Spinors on a Generalised Frame BundleWe clarify the structure obtained in H\'elein and Vey's proposition for a variational principle for the Einstein-Cartan gravitation formulated on a frame bundle starting from a structure-less…Jérémie Pierard de Maujouy·Dec 5, 2023SaveLearn
Bosonization of primary fields for the critical Ising model on multiply connected planar domainsWe prove bosonization identities for the scaling limits of the critical Ising correlations in finitely-connected planar domains, expressing those in terms of correlations of the compactified Gaussian…Baran Bayraktaroglu, Konstantin Izyurov, Tuomas Virtanen et al.·Dec 5, 2023SaveLearn
A new class of distances on complex projective spacesThe complex projective space P(Cn) can be interpreted as the space of all quantum pure states of size n. A distance on this space, interesting from the perspective of quantum…Rafał Bistroń, Michał Eckstein, Shmuel Friedland et al.·Dec 5, 2023SaveLearn
Ultra-generalized Wannier bases: Are they relevant to topological transport?We generalize Prodan's construction of radially localized generalized Wannier bases [E. Prodan, On the generalized Wannier functions. J. Math. Phys. 56(11), 113511 (2015)] to gapped quantum systems…Massimo Moscolari, Gianluca Panati·Dec 4, 2023SaveLearn
Feigin-Frenkel-Hernandez Opers and the QQ-systemThis paper represents the completion of our work on the ODE/IM correspondence for the generalised quantum Drinfeld-Sokolov models. We present a unified and general mathematical theory, encompassing…Davide Masoero, Andrea Raimondo·Dec 4, 2023SaveLearn
Some Features of the Modified Solid-Liquid-Vapor Equation of StateThe paper considers the geometry of the Modified Solid-Liquid-Vapour equation of state. This model describes a substance state in three phases. Thermodynamics states are points on Legendrian or…Alexey V. Batov, Ivan A. Galyaev, Maksim I. Kostiuchek et al.·Dec 4, 2023SaveLearn
Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theoryQuantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form…Marius Lemm, Simone Rademacher·Dec 4, 2023SaveLearn
Cohomology of knotted semimetals in three dimensionsWe extend the topological classification scheme of Weyl semimetals via cohomology and the Mayer-Vietoris sequence to account for nodal line semimetals with space-time inversion symmetry. These are…Joshua Celeste·Dec 4, 2023SaveLearn
On the Bessel solution of Kepler's equationSince its introduction in 1650, Kepler's equation has never ceased to fascinate mathematicians, scientists, and engineers. Over the course of five centuries, a large number of different solution…Riccardo Borghi·Dec 3, 2023SaveLearn
Structural transitions in interacting lattice systemsWe consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and…Laurent Bétermin, Ladislav Šamaj, Igor Travěnec·Dec 3, 2023SaveLearn
Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and T-structuresIn this paper, we study relative Rota-Baxter operators of weight 0 on groups and give various examples. In particular, we propose different approaches to study Rota-Baxter operators of weight 0…Yunnan Li, Yunhe Sheng, Rong Tang·Dec 3, 2023SaveLearn
Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinementWe study a class of conformal metric deformations in the quasi-radial coordinate parameterizing the 3-sphere in the conformally compactified Minkowski spacetime S1× S3. Prior to reduction of…M. Kirchbach, J. A. Vallejo·Dec 2, 2023SaveLearn
Derivation of Vlasov equations for multi-species fermionsWe explore a system of two-species fermions with N particles. Through this exploration, we establish a two-species Husimi measure and construct a two-species Bogoliubov-Born-Green-Kirkwood-Yvon…Hongshuo Chen, Li Chen, Jinyeop Lee et al.·Dec 2, 2023SaveLearn
Secular growths and their relation to equilibrium states in perturbative QFTIn the perturbative treatment of interacting quantum field theories, if the interaction Lagrangian changes adiabatically in a finite interval of time, secular growths may appear in the truncated…Stefano Galanda, Nicola Pinamonti, Leonardo Sangaletti·Dec 1, 2023SaveLearn
Limit theorems for empirical measures of interacting quantum systems in Wasserstein spaceWe prove fundamental properties of empirical measures induced by measurements performed on quantum N-body systems. More precisely, we consider measurements performed on the ground state of an…Lorenzo Portinale, Simone Rademacher, Dániel Virosztek·Dec 1, 2023SaveLearn
A new approach for the implementation of contact line motion based on the phase-filed lattice Boltzmann methodThis paper proposes a new strategy to implement the free-energy based wetting boundary condition within the phase-field lattice Boltzmann method. The greatest advantage of the proposed method is that…Long Ju, Zhaoli Guo, Bicheng Yan et al.·Dec 1, 2023SaveLearn
New formula for the prepotentials associated with Hurwitz-Frobenius manifolds and generalized WDVV equationsWe consider the Hurwitz spaces of ramified coverings of P1 with prescribed ramification profile over the point at infinity. By means of a particular symmetric bidifferential on a compact…Chaabane Rejeb·Dec 1, 2023SaveLearn
Mourre theory and asymptotic observables in local relativistic quantum field theoryWe prove the convergence of Araki-Haag detectors in any Haag-Kastler quantum field theory with an upper and lower mass gap. We cover the case of a single Araki-Haag detector on states of bounded…Janik Kruse·Nov 30, 2023SaveLearn
Universality of stochastic Laplacian growthWe consider a stochastic Laplacian growth problem in the framework of normal random matrices. In the large N limit the support of eigenvalues of random matrices is a planar domain with a sharp…Oleg Alekseev·Nov 30, 2023SaveLearn
Phase Transitions in the semi-infinite Ising model with a decaying fieldWe study the semi-infinite Ising model with an external field hi = λ |id|-δ, λ is the wall influence, and δ>0. This external field decays as it gets further away from…Rodrigo Bissacot, João Maia·Nov 29, 2023SaveLearn
R\'eductions d'un syst\`eme bidimensionnel de sine-Gordon \`a la sixi\`eme \'equation de Painlev\'eWe derive all the reductions of the system of two coupled sine-Gordon equations introduced by Konopelchenko and Rogers to ordinary differential equations. All these reductions are degeneracies of a…Robert Conte, A. Michel Grundland·Nov 29, 2023SaveLearn
Principal hierarchy of Frobenius manifolds with rational and trigonometric superpotentialsIn this paper, we construct the principal hierarchies for Frobenius manifolds with rational and trigonometric superpotentials, as well as their almost dualities. We demonstrate that in both cases,…Shilin Ma·Nov 29, 2023SaveLearn
Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chainThis work proposes a closed formula for the leading term of the long-distance and large-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ…F. Göhmann, K. K. Kozlowski·Nov 28, 2023SaveLearn