Acoustic pulse propagation in a non-ideal shallow-water modelThis study develops a theoretical framework for modeling acoustic pulse propagation in a non-ideal shallow-water waveguide. We derive an ε-pseudodifferential operator (ε-PDO)…Aleksandr Kaplun, Boris Katsnelson·Nov 12, 2025SaveLearn
Group-Theoretic Structure Governing Identifiability in Inverse ProblemsIn physical systems possessing symmetry, reconstructing the underlying causal structure from observational data constitutes an inverse problem of fundamental importance. In this work, we formulate…Isshin Arai, Tomoaki Itano·Nov 12, 2025SaveLearn
On Bose-Einstein condensates in disordered mediaWe consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially…Marius Lemm, Simone Rademacher, Jingxuan Zhang·Nov 12, 2025SaveLearn
Stacking and the triviality of invertible phasesWe study the superselection sectors of two quantum lattice systems stacked onto each other in the operator algebraic framework. We show in particular that all irreducible sectors of a stacked system…Sven Bachmann, Alan Getz, Pieter Naaijkens et al.·Nov 11, 2025SaveLearn
Integrable Contour Kernels in Discrete β=1,4 Ensembles, Universality and Kuznetsov MultipliersWe obtain explicit double-contour representations for the correlation kernels of the discrete orthogonal (β=1) and symplectic (β=4) random matrix ensembles with Meixner, Charlier, and…Miguel Tierz·Nov 11, 2025SaveLearn
Symmetries and Weighted Integrability of Vector Fields with Jacobi MultipliersIn this paper, we investigate analytic divergence-free vector fields and vector fields admitting a Jacobi multiplier on n-dimensional Riemannian manifolds. We first introduce a functional acting on…C. Sardón, X. Zhao·Nov 11, 2025SaveLearn
Geometric Categories for Continuous GaugingWe develop a unified categorical framework for gauging both continuous and finite symmetries in arbitrary spacetime dimensions. Our construction applies to geometric categories i.e. categories…Devon Stockall, Matthew Yu·Nov 11, 2025SaveLearn
Elementary commutator method for the Dirac equation with long-range perturbationsWe present direct and elementary commutator techniques for the Dirac equation with long-range electric and mass perturbations. The main results are absence of generalized eigenfunctions and locally…Shinichi Arita, Kenichi Ito·Nov 11, 2025SaveLearn
Scaling Relations For The CLG's Critical ExponentsWe consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint that only particles…Clément Erignoux, Assaf Shapira, Marielle Simon·Nov 11, 2025SaveLearn
Stabilization of Time-Varying Perturbed Quantum Systems via Reduced FiltersIn practical applications, quantum systems are inevitably subject to significant uncertainties, including unknown initial states, imprecise physical parameters, and unmodeled environmental noise, all…Weichao Liang, Daoyi Dong·Nov 11, 2025SaveLearn
Analytical estimations of edge states and extended states in large finite-size latticesThe bulk boundary correspondence, one of the most significant features of topological matter, theoretically connects the existence of edge modes at the boundary with topological invariants of the…Huajie Song, Haitao Xu·Nov 11, 2025SaveLearn
Bound on the excess charge for bosonic systems interacting through Coulomb potentialsWe prove an upper bound on the excess charge for non-relativistic atomic systems, independent of the particle statistics. This result improves Lieb's bound of 1984 for any Z 12.Rafael D. Benguria, Juan Manuel González-Brantes·Nov 10, 2025SaveLearn
A ballistic upper bound on the accumulation of bosonic on-site energiesIn this note, we study transport properties of the dynamics generated by translation-invariant and possibly long-ranged Hamiltonians of Bose-Hubbard type. For translation-invariant initial states…Tomotaka Kuwahara, Marius Lemm, Carla Rubiliani·Nov 10, 2025SaveLearn
Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered WeightsWe extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations and smooth symbols…Mikkel Hviid Thorn·Nov 10, 2025SaveLearn
Planar Dirac equation with radial contact potentialsWe investigate the planar Dirac equation with the most general time-independent contact (singular) potential supported on a circumference. Taking advantage of the radial symmetry, the problem is…J. T. Lunardi, S. Salamanca, J. Negro et al.·Nov 10, 2025SaveLearn
A third medium approach for thermo-mechanical contact based on low order ansatz spacesThe third medium contact approach has been successfully employed in structural applications and extended to various optimization problems. This discretization technique replaces classical contact…Peter Wriggers·Nov 10, 2025SaveLearn
On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifoldGiven a semisimple Frobenius manifold, we construct a class of integrable deformations of its hierarchy of topological type. We show that these integrable deformations have polynomial tau-structures,…Si-Qi Liu, Paolo Rossi, Di Yang et al.·Nov 10, 2025SaveLearn
Average Winding Number for Determinantal Curves associated with 2-Matrix Models in the Class AIIITo classify one-dimensional disordered quantum systems with chiral symmetry, we analyse the winding number of the determinant of a parametrized non-Hermitian random matrix field over the unit circle…Mathieu Yahiaoui, Mario Kieburg·Nov 10, 2025SaveLearn
Solving the Scattering Problem for Open Wave-Guide Networks, II Outgoing EstimatesThe paper continues the analysis, started in [1] (Part I,arXiv:2302.04353), of the model open wave-guide problem defined by 2 semi-infinite, rectangular wave-guides meeting along a common…Charles L. Epstein·Nov 10, 2025SaveLearn
Solving the Scattering Problem for Open Wave-Guide Networks, I Fundamental Solutions and Integral EquationsWe introduce a layer potential representation for the solution of the transmission problem defined by two dielectric channels, or open wave-guides, meeting along the straight-line interface,…Charles L. Epstein·Nov 10, 2025SaveLearn
Weak generators of W-algebras for type AIn this paper, we find weak generating sets for a classical W-algebra Wk(g,f) when g=slN or slN1|N2. Furthermore, observing the…Min Hee Park, Uhi Rinn Suh·Nov 9, 2025SaveLearn
Quantum vortices in entanglement: a novel idea for large vortex filamentsIn this study, we propose a new approach to describing certain macroscopic objects that can arise in a quantum fluid. These objects are formed by means of quantum entanglement from the…S. V. Talalov·Nov 8, 2025SaveLearn
On square-zero elements in the IIB supersymmetry algebraWe describe the variety of square-zero elements in the (2,0) super Poincar\'e algebra in ten dimensions, together with its orbit stratification induced by the action of the spin group and R-symmetry.…Fabian Hahner·Nov 7, 2025SaveLearn
Numerical estimation of the Hausdorff dimension of D-random feuilletagesWe implement numerical techniques to simulate D-random feuilletages, candidates for higher-dimensional random geometries introduced in L. Lionni and J.-F. Marckert, Math. Phys. Anal. Geom. 24 (2021)…Alicia Castro, Adrian Tanasa·Nov 6, 2025SaveLearn
Triviality vs perturbation theory: an analysis for mean-field 4-theory in four dimensionsWe have constructed the mean-field trivial solution of the 4 theory O(N) model in four dimensions in two previous papers using the flow equations of the renormalization group. Here we…Christoph Kopper, Pierre Wang·Nov 6, 2025SaveLearn