Geometric bulk-edge correspondence for Z2-topological insulatorsFermionic time-reversal-invariant insulators in two dimensions--class AII in the Kitaev table--come in two topological phases. These phases are characterized by a Z2-valued invariant, the…Alexis Drouot, Jacob Shapiro, Xiaowen Zhu·Jun 25, 2026SaveLearn
The Ising Model Coupled to 2D Gravity: Critical Partition FunctionWe prove that the differential of the log of the partition function for the 2-matrix model with quartic interactions converges in a certain double-scaling regime to the differential of the…Maurice Duits, Nathan Hayford, Seung-Yeop Lee·Jun 25, 2026SaveLearn
Asymptotic solutions: glancing trajectories, Lagrangian singularities, and Bessel cylindersWe find a normal form for the simplest Lagrangian singularity appearing as the projection onto the space-energy of a solution to the Hamilton-Jacobi equation. Using this normal form we approximate…Ilya Bogaevskii, Michel Rouleux·Jun 25, 2026SaveLearn
Wave-Particle Decomposition for Kinetic Equations I: Theory and NumericsThis paper presents a wave-particle decomposition (WPD) for kinetic relaxation equations, formulated around a local evolution timescale and its associated kinetic horizon. By leveraging the…Chang Liu, Kun Xu·Jun 25, 2026SaveLearn
Weak-Strong Resurgence DualityWe show that there is an explicit resurgent duality between weak and strong coupling expansions when one of the expansions has zero radius of convergence and the other has infinite radius of…Gerald V. Dunne, Ayssar I. Farah·Jun 25, 2026SaveLearn
A symmetry reduction of the Painlevé IV hierarchy to the Flaschka-Newell Painlevé II hierarchyWe study the isomonodromic deformation problem associated with rank-two meromorphic connections on the Riemann sphere having one regular singularity and one irregular singularity of even order at…Mohamad Alameddine, Olivier Marchal·Jun 25, 2026SaveLearn
Axisymmetric membrane shapes in the Willmore and Helfrich models: first integrals and a hyperbolic formulationThe equilibrium shapes of fluid lipid membranes are governed by nonlinear differential equations derived from the Helfrich bending energy. In the tensionless, pressure-free, and zero-spontaneous-…Z. C. Tu·Jun 25, 2026SaveLearn
Picard-Lefschetz theory and alien calculus: a case studyWe compare Picard--Lefschetz theory and resurgence in three basic one-dimensional exponential integrals: the Airy model, the Bessel model, and the Gamma model. On the Picard--Lefschetz side, we…Si Li, Yong Li, Xinxing Tang·Jun 25, 2026SaveLearn
Particle, kinetic and hydrodynamic models for sea ice floes. Part II: Rotating floes with environmental forcesThis paper builds on the multiscale modeling framework introduced in Part I (Deng and Ha, Physica D: Nonlinear Phenomena 483 (2025) 134951) for sea-ice floe dynamics with non-rotating floes to the…Quanling Deng, Seung-Yeal Ha, Jaemoon Lee et al.·Jun 25, 2026SaveLearn
Anderson localization on quantum graphs coded by elements of a subshift of finite typeWe study Schrödinger operators on quantum graphs where the number of edges between points is determined by orbits of a "shift of finite type". We prove Anderson localization for these systems.Oleg Safronov·Jun 25, 2026SaveLearn
Existence, degeneracy and stability of ground states by logarithmic Sobolev inequalities on Clifford algebrasWe prove existence and finite degeneracy of ground states of energy forms satisfying logarithmic Sobolev inequalities with respect to non vacuum states of Clifford algebras. We then derive the…Fabio E. G. Cipriani·Jun 25, 2026SaveLearn
An operator algebraic characterization of the Riemannian vacuum Einstein equation in four dimensionsIn this paper, using connected compact oriented smooth 4-manifolds, some representations of the hyperfinite II1-type factor von Neumann algebra are constructed. The Murray--von Neumann coupling…Gabor Etesi·Jun 25, 2026SaveLearn
A new formulation of metriplectic dynamics with an application to quasigeostrophic ocean modeling with advected quantitiesA general formulation of metriplectic dynamics is presented, where the metriplectic four-bracket is constructed by multiplying two skew-symmetric brackets. The new formulation is then used to…Francisco J. Beron-Vera, Erwin Luesink·Jun 24, 2026SaveLearn
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase DiagramWe prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hofstadter-like…Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco et al.·Jun 24, 2026SaveLearn
Physics-Informed Neural Networks for the Time-Domain Maxwell Equations with Split-Field Perfectly Matched LayersPhysics informed neural networks (PINNs) incorporate Maxwell's equations, initial conditions, boundary conditions, and measurement data directly into the learning process, transforming the…Xiaodong Liu, Lingquan Li, Gregory Moss et al.·Jun 24, 2026SaveLearn
Forms, half-densities, and the quantum odd symplectic category in the BV formalismThis note is a detailed review of the geometry behind the Batalin-Vilkovisky formalism and how it fits into the framework of the quantum odd symplectic category and the odd quantization functor.Pavol Ševera·Jun 24, 2026SaveLearn
Equivalent potential-energy functionsMany researchers have proposed their own potential-energy functions for the study of diatomic molecules, some of which have been proved to be equivalent. In this paper we suggest the application of a…Francisco M. Fernández·Jun 24, 2026SaveLearn
Classical limit of the Pauli-Fierz dynamicsWe study the Schrödinger evolution generated by the Pauli-Fierz Hamiltonian, a model for nonrelativistic quantum electrodynamics, in the classical limit → 0. In this regime, we…Lucas Jougla, Nikolai Leopold·Jun 24, 2026SaveLearn
Three non-Hermitian random matrix universality classes of complex edge statistics: Spacing ratios and distributionsThe conjectured three generic local bulk statistics amongst all non-Hermitian random matrix symmetry classes have recently been extended to three generic local edge statistics. We study analytically…Gernot Akemann, Georg Angermann, Noah Aygün et al.·Jun 24, 2026SaveLearn
Localization for non-stationary Anderson models in three dimensionsWe prove localization (near the bottom of the spectrum) for certain non-stationary variants of the Anderson model in three dimensions. More specifically, we prove a Wegner estimate, which implies…Omar Hurtado·Jun 24, 2026SaveLearn
Arbitrary harmonic functions as Bose--Einstein condensatesWe show that a suitable choice of boundary conditions for the Laplacian allows for the appearance of an an arbitrary number of condensates, described by arbitrary harmonic functions, in the…Michiel De Wilde, Robert Seiringer·Jun 24, 2026SaveLearn
Alignment in products of positive matrices and Birkhoff's contraction formula: an elementary direct derivationWe revisit the classical problem of alignment in products of positive matrices. A direct analysis yields a sharp product misalignment bound, providing an elementary route to alignment and…Evgenij Kritchevski·Jun 24, 2026SaveLearn
Large scale regularity and correlation length for almost length-minimizing random curves in the planeWe consider a model of random curves in the plane related to the large-scale behavior of the Random Field Ising Model (RFIM) at temperature zero in two space dimensions. Our work is motivated by…Tobias Ried, Christian Wagner·Jun 24, 2026SaveLearn
All 4 x 4 solutions of the quantum Yang-Baxter equationIn this paper, we complete the classification of 4 x 4 solutions of the Yang-Baxter equation. Regular solutions were recently classified and in this paper we find the remaining non-regular solutions.…Marius de Leeuw, Vera Posch·Jun 24, 2026SaveLearn
Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability TestIn this work, we address the problem of validating the reconstruction of a stochastic system from noisy data. We demonstrate the limitations of criteria based solely on the loss function or on…Guillermo Capobianco, Ulises Chialva, Horacio G. Rotstein·Jun 23, 2026SaveLearn