Matrix harmonic analysis at high temperature via the Dirichlet processWe investigate harmonic analysis of random matrices of large size with their Dyson indices going simultaneous to zero, that is in the high temperature limit. In this regime, we show that the…Jiyuan Zhang·Aug 29, 2025SaveLearn
Eigenvalue statistics for random polymer models: Localization and delocalizationWe study the local eigenvalue statistics (LES) associated with one-dimensional lattice models of random polymers. We consider models constructed from two polymers. Each polymer is a finite interval…Peter D. Hislop, Fumihiko Nakano·Aug 28, 2025SaveLearn
On the Spectrum of Schr\"odinger Operators Interacting at Two Distinct ScalesSchr\"odinger operators of the form - W on L2rad(R3), the space of radially symmetric square integrable functions are relevant in a variety of physical contexts. The…Emmanuel Fleurantin, Jeremy L. Marzuola, Christopher K. R. T. Jones·Aug 28, 2025SaveLearn
Bohr--Sommerfeld rules for systemsWe present a complete, self-contained formulation of the Bohr--Sommerfeld quantization rule for a semiclassical self-adjoint 2 × 2 system on the real line, arising from a simple closed curve…Simon Becker, Setsuro Fujiié, Jens Wittsten·Aug 28, 2025SaveLearn
Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approachBoundaries and corners of spacetime play a vital role in understanding physical concepts including entanglement entropy, the infrared problem in QFT and quantum gravity. Standard local quantum field…Christopher J. Fewster, Daan W. Janssen, Kasia Rejzner·Aug 28, 2025SaveLearn
Mixed symmetries of Sn: immanants in the sampling of U(d) submatricesWe provide results on the mean and higher moments of immanants of submatrices of ensembles of Haar-distributed unitary matrices, mostly without proofs. This paper is based on a talk presented at…Jacob Daigle, Hubert de Guise, Trevor Welsh·Aug 28, 2025SaveLearn
Higher-Order Linear Differential Equations for Unitary Matrix Integrals: Applications and GeneralisationsIn this paper, we consider characterisations of the class of unitary matrix integrals ( U)q es1/2 Tr(U + U) U(l) in terms of a…Peter J. Forrester, Fei Wei·Aug 28, 2025SaveLearn
Numerical analysis of scattering on combinatorial graphsWe investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We then explore various…Moysey Brio, Jean-Guy Caputo·Aug 28, 2025SaveLearn
On a class of third order differential equations describing pseudospherical or spherical surfacesIn this paper, we study third order nonlinear partial differential equations which describe surfaces of constant curvature. From the flatness of connection 1-forms, we present a classification of…Mingyue Guo, Jing Kang, Zhenhua Shi et al.·Aug 28, 2025SaveLearn
Generalized symmetries of remarkable (1+2)-dimensional Fokker-Planck equationUsing an original method, we find the algebra of generalized symmetries of a remarkable (1+2)-dimensional ultraparabolic Fokker-Planck equation, which is also called the Kolmogorov equation and is…Dmytro R. Popovych, Serhii D. Koval, Roman O. Popovych·Aug 28, 2025SaveLearn
Non-existence of co-spectral simple connected graphs with small number of edgesWe prove that if the number of edges does not exceed 7 then the asymptotics of eigenvalues of the Dirichlet problem uniquely determine the shape of the graph.O. Boyko, D. Kaliuzhnyi-Verbovetskyi, V. Pivovarchik·Aug 27, 2025SaveLearn
Optimal Remainder Estimates in the Quantization of Complex Projective SpacesWe study Berezin-Toeplitz quantization of complex projective spaces CPd-1 and obtain full asymptotic expansions of the Berezin transformation and of products of Toeplitz operators. In…Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej·Aug 27, 2025SaveLearn
Kullback-Leibler Potential for Non-Ergodic Replication Dynamics:An Information-Theoretic Second LawThis study aims to quantify and visualize the degradation of fidelity (information degradation) that inevitably accompanies the replication of information within the framework of information…Tatsuaki Tsuruyama·Aug 27, 2025SaveLearn
Generalized Macdonald functions and quantum toroidal gl(1) algebraThe Macdonald operator is known to coincide with a certain element of the quantum toroidal gl(1) algebra in the Fock representation of levels (1,0). A generalization of this operator…Jean-Emile Bourgine, Luca Cassia, Artem Stoyan·Aug 27, 2025SaveLearn
Multiscale Hilbert expansion and hydrodynamics beyond Navier-StokesA truncated Hilbert expansion with multiple scales is used to construct asymptotic solution of the linearized one-dimensional Boltzmann equation with small Knudsen number. The freedom ganed by…O. M. Chekmareva, I. B. Chekmarev·Aug 26, 2025SaveLearn
The projection spectral theorem, quasi-free states and point processesIn this review paper, we demonstrate that several classes of point processes in a locally compact Polish space X appear as the joint spectral measure of a rigorously defined particle density of a…Eugene Lytvynov·Aug 26, 2025SaveLearn
Nonlinear oscillations of strings and beamsWe investigate the time-periodic solutions to the nonlinear wave and beam equations and uncover their intricate, fractal-like structure. In particular, we identify a new class of large-energy…Filip Ficek, Maciej Maliborski·Aug 26, 2025SaveLearn
Generalized Segal-Bargmann transform for Poisson distribution revisitedFor α>0 and σ > 0, we consider the following probability distribution on α N0: $πα,σ = (- σα2) Σn=0∞…Chadaphorn Kodsueb, Eugene Lytvynov·Aug 26, 2025SaveLearn
Travelling-wave solutions and solitons of KdV, mKdV and NLS equationsWe introduce the concept of soliton solutions of integrable nonlinear partial differential equations and point out that the inverse spectral method represents the rigorous mathematical formalism to…Supriya Chatterjee, Pranab Sarkar, Benoy Talukdar·Aug 26, 2025SaveLearn
Calogero-Sutherland hyperbolic system and Heckman-Opdam gln hypergeometric functionWe prove equivalence of two integral representations for the wave functions of hyperbolic Calogero-Sutherland system. For this we study two families of Baxter operators related to hyperbolic…N. Belousov, L. Cherepanov, S. Derkachov et al.·Aug 26, 2025SaveLearn
Non-Lagrangian Construction of Anyons via Flux Quantization in CohomotopyWe provide a brief invitation to the novel understanding of anyonic topological order in fractional quantum (anomalous) Hall systems, via "extraordinary" quantization of effective magnetic flux in…Hisham Sati, Urs Schreiber·Aug 25, 2025SaveLearn
The Painlev\'e I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchyTwo approaches to the Painlev\'e I hierarchy are discussed: the isomonodromic construction based on meromorphic connections, and the minimal models construction based on a reduction of the KP…Mohamad Alameddine, Nathan Hayford, Olivier Marchal·Aug 25, 2025SaveLearn
A unified multi-perspective quadratic manifold for mitigating the Kolmogorov barrier in multiphysics damageIn multiphysics damage problems, material degradation is often modeled using local or global damage variables, whose evolution introduces strong nonlinearities and significant computational costs.…Qinghua Zhang, Stephan Ritzert, Jian Zhang et al.·Aug 25, 2025SaveLearn
Geometry of effective field theory positivity conesPositivity bounds are theoretical constraints on the Wilson coefficients of an effective field theory. These bounds emerge from the requirement that a given effective field theory must be the…Quentin Bonnefoy, Vicente Cortés, Emanuele Gendy et al.·Aug 25, 2025SaveLearn
Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schr\"odinger equations 1: fission and fusionIn this paper we study the first nonlinear stage of modulation instability (NLSMI) of x-periodic AWs in multidimensional generalizations of the focusing nonlinear Schr\"odinger (NLS) equation, like…Francesco Coppini, Paolo Maria Santini·Aug 25, 2025SaveLearn