The 3d mixed BF Lagrangian 1-form: a variational formulation of Hitchin's integrable systemWe introduce the concept of gauged Lagrangian 1-forms, extending the notion of Lagrangian 1-forms to the setting of gauge theories. This general formalism is applied to a natural geometric…Vincent Caudrelier, Derek Harland, Anup Anand Singh et al.·Sep 5, 2025SaveLearn
Vorticity-dependent and symmetry-preserving LES modelsWithin the Large Eddy Simulation framework, we propose a methodology based on the Lie theory to derive symmetry-preserving turbulence models. We apply this methodology to the incompressible…Oscar Cosserat, Dina Razafindralandy, Can Selçuk·Sep 5, 2025SaveLearn
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger OperatorsWe investigate periodic Schr\"odinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic velocity decay at…Houssam Abdul-Rahman, Jake Fillman, Christoph Fischbacher et al.·Sep 4, 2025SaveLearn
Simple analyticity criteria for repulsive multi-body potentialsWe prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound improves on those…Tyler Helmuth, Marcus Pappik, Will Perkins·Sep 4, 2025SaveLearn
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutionsThis work provides a mathematical framework for elucidating physical mechanisms for confining waves at subwavelength scales in periodic systems of nonlinear resonators. A discrete approximation in…Habib Ammari, Jiayu Qiu·Sep 4, 2025SaveLearn
Linear viscoelasticity: Mechanics, analysis and approximationThe aim of this review is to highlight the connection between well-established physical and mathematical principles as they pertain to the theory of linear viscoelasticity. We begin by examining the…Michael Ortiz·Sep 3, 2025SaveLearn
Exactly solvable Schr\"odinger operators related to the hypergeometric equationWe study one-dimensional Schr\"odinger operators defined as closed operators that are exactly solvable in terms of the Gauss hypergeometric function. We allow the potentials to be complex. These…Jan Dereziński, Pedram Karimi·Sep 3, 2025SaveLearn
Quantum invariants of 3-manifolds and links: a reviewWe review the recent developments of quantum invariants of 3-manifolds and links: Z and FL. They are q-series invariants originated from mathematical physics. They exhibit rich features,…John Chae·Sep 3, 2025SaveLearn
Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin methodIn this work, approximate solutions to the nonlinear Klein-Gordon equation are constructed by means of the Galerkin method. Specifically, it is shown how the dynamics of a real scalar field in 1+1…Annibal D. de Figueiredo Neto, Caio C. Holanda Ribeiro, Luana L. Silva Ribeiro·Sep 3, 2025SaveLearn
Magnetic Double-Wells: Absence of TunnelingWe present a magnetic double-well Hamiltonian where the tunneling between the two wells vanishes, as recently announced.Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein·Sep 2, 2025SaveLearn
Geometric analysis of Ising models, Part IIIThe random current representation of the Ising model, along with a related path expansion, has been a source of insight on the stochastic geometric underpinning of the ferromagnetic model's phase…Michael Aizenman·Sep 2, 2025SaveLearn
On the inextensibility assumption in the stability of elastic rings: overhaul of a traditional paradigmOne of the oldest and most common structural engineering issues is the elastic buckling of circular rings under external pressure, which has a fundamental importance in a number of applications in…Federico Guarracino, Ida Mascolo·Sep 2, 2025SaveLearn
Bochner's theorem for finite inverse semigroups and its connection to Choi's theoremBochner's theorem characterizes positive definite functions on groups through the positivity of their Fourier transforms and plays a fundamental role in Harmonic analysis. While Bochner-type results…Sohail, Sahil·Sep 2, 2025SaveLearn
Logarithmic lightcones in the multiparticle Anderson model with sparse interactionsWe prove that the dynamics of the one-dimensional XY model with random magnetic field perturbed by a sparse set of ZZ terms with a large coupling constant gives rise to…Daniele Toniolo, Sougato Bose·Sep 2, 2025SaveLearn
A Calogero Model with root string representatives of infinite order Coxeter orbitsWe present a worked example for the new extensions of the multi-particle Calogero model endowed with infinite Weyl group symmetry of affine and hyperbolic type. Building upon the hyperbolic extension…Andreas Fring·Sep 1, 2025SaveLearn
Reflection positivity and a refined index for 2d invertible phasesWe analyze the validity of reflection positivity in the classification of invertible phases of quantum spin systems. We provide a mathematical model in which every 2d invertible state admits a…Nikita Sopenko·Sep 1, 2025SaveLearn
A gauge theory of complex adaptive systemsWe introduce a geometric construction of a gauge field theory of a complex adaptive system. It is based on a suitable simplicial formulation of a discrete geometry that manifests relevant properties…Gueorgui M. Mihaylov, Sergio L. Cacciatori·Sep 1, 2025SaveLearn
Wave-number lock-in in buckled elastic structures: an analogue to parametric instabilitiesParametric instabilities are a known feature of periodically driven dynamic systems; at particular frequencies and amplitudes of the driving modulation, the system's quasi-periodic response…Helen E. Read, Giada Risso, Adel Djellouli et al.·Sep 1, 2025SaveLearn
Multispecies totally asymmetric simple exclusion process with long-range swapWe introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule.…Eunghyun Lee·Aug 31, 2025SaveLearn
Dynamical localization and delocalization for random Schrodinger operators with δ-interactions in R3We prove that the random Schrodinger operators on R3 with independent, identically distributed random variables and single-site potentials given by δ-functions on Z3,…Peter D. Hislop, Werner Kirsch, M. Krishna·Aug 31, 2025SaveLearn
Ground State Energy of Dilute Fermi Gases in 1DWe study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behaviour is given in…Johannes Agerskov, Robin Reuvers, Jan Philip Solovej·Aug 30, 2025SaveLearn
Spectral analysis of Dirac materials in position-dependent magnetic and electric fields via Heun functionsThis work focuses on the study of the spectral problem for Dirac materials immersed in position-dependent magnetic and electric fields. To achieve this, the system of differential equations satisfied…Daniel O-Campa, Omar Pedraza, L. A. López et al.·Aug 30, 2025SaveLearn
Resonances for the one dimensional Schr\"odinger operator with the matrix-valued complex square-well potentialWe study the resonances of (generally, non-selfadjoint) Schr\"odinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex transcendental…Yuri Latushkin, Alin Pogan·Aug 29, 2025SaveLearn
Herglotz's formalism, Eisenhart lift and Killing vectorsThe Eisenhart lift is extended to the case of dynamics described by action-dependent Lagrangians. The resulting Brinkmann metric depends on all coordinates. It is shown that the symmetries of the…Krystian Bartczak, Piotr Kosiński·Aug 29, 2025SaveLearn
Finite N precursors of the free cumulantsWe study U(N) invariant polynomials on the space of N× N matrices first introduced by Capitaine and Casalis, that are precursors of free cumulants in various respects. First, they…Sylvain Lacroix, Jean-Bernard Zuber·Aug 29, 2025SaveLearn