2-Morita Theory of E2-Algebras and Module CategoriesBuilding on our previous work on 2-Morita equivalence for E2-algebras using topological pictures, we develop a systematic framework for Morita equivalence of topological orders in different…Rongge Xu, Holiverse Yang·Aug 27, 2026·Top 53%SaveLearn
Multiscale Loop Vertex Expansion for Cumulants, the ϕ42 ModelWe consider the ϕ42 model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of constructive field…Vincent Rivasseau·Aug 27, 2026·Top 52%SaveLearn
Quasi-polynomiality and N-point functions of single connected leaky completed Hurwitz numbersIn this paper, we study the structures of single connected k-leaky (r+1)-completed Hurwitz numbers. We first prove that, for fixed genus, after extracting an explicit product of Pochhammer type…Chongyu Wang, Chenglang Yang·Aug 27, 2026·Top 84%SaveLearn
Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical frameworkThis paper develops a comprehensive stochastic variational framework for surface gravity waves. Starting from Luke's variational principle for irrotational, incompressible free-surface flow, we…Etienne Mémin, Arnaud Debussche·Aug 27, 2026·Top 42%SaveLearn
The Sharp Spectral Transition for Almost Mathieu Operators via Alternating ResonancesWe prove that for any given frequency resonance exponent and phase resonance exponent, there exist a frequency and a phase exactly realizing these values such that the Almost Mathieu operator…Jiawei He, Xueyin Wang·Aug 27, 2026·Top 10%SaveLearn
Dynamical classical-field limit of Bosonic Gibbs states: Renormalized Hartree NLS correlations in 2D and 3DIn this paper we derive the time-dependent correlation functions of the renormalized Hartree NLS equation on the torus Td, d=2,3, from the corresponding bosonic many-body Gibbs dynamics.…Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu·Aug 27, 2026·Top 2%SaveLearn
Quantum cellular automata and invertible phases of matterWe introduce and study (fermionic and bosonic) invertible quasi-local algebras over uniformly locally finite metric spaces X with infinite-dimensional local von Neumann algebras. We show that the…Corey Jones, Nikita Sopenko, Ryan Thorngren·Aug 26, 2026·Top 4%SaveLearn
A closure criterion for electromagnetic curves on the sphere in a uniform ambient fieldWe consider the motion of a charged test particle confined to the round unit sphere in a uniform ambient magnetic field. We use an extension of Noether's theorem for systems with magnetic forces…C S López-Monsalvo·Aug 26, 2026·Top 69%SaveLearn
Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical EnsembleWe consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of particles in the…Andreas Deuchert, Xuanyu Li·Aug 26, 2026·Top 72%SaveLearn
Plasticity as Directional Stationarity: Yielding, Flow, and Hardening from One FunctionalTraditional plasticity theory is commonly organized through an elastic law, a yield condition, a flow rule, hardening relations, and loading--unloading conditions. This paper formulates these…Huilong Ren·Aug 26, 2026SaveLearn
Lower bounds on the spatial decay of the ground state of the Pauli-Fierz modelLower bounds on the pointwise spatial decay of the ground state of the Pauli-Fierz model in non-relativistic quantum electrodynamics are studied.Two models are considered: the full Pauli-Fierz model…Fumio Hiroshima, Yuki Tsujimoto·Aug 26, 2026·Top 80%SaveLearn
Threshold spectral transition for a fermion-boson pair on the one-dimensional latticeWe study a two-particle lattice Schrödinger operator describing a fermion-boson pair on the one-dimensional lattice Z with zero-range on-site interaction of strength μ∈ R and…Sobir S. Ulashov, Shakhobiddin I. Khamidov·Aug 26, 2026·Top 93%SaveLearn
Free-Energy Asymptotics of the Two-Dimensional Quantum Heisenberg FerromagnetWe prove the leading low-temperature free-energy asymptotics of the nearest-neighbour quantum Heisenberg ferromagnet on Z2. For every fixed S∈\12,1,32,…\, the free…Andreas Klippel·Aug 26, 2026·Top 8%SaveLearn
Bound State Analysis of Rank-One Delta Interactions Supported by Deformed HyperspheresWe study rank-one delta interactions supported by small normal deformations of an \(n\)-dimensional hypersphere \(SRn⊂Rn+1\). The interaction is defined by the normalized surface…Hilal Demirdöğen, Fatih Erman, Merve Nur Sayar·Aug 25, 2026·Top 89%SaveLearn
Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlevé equationsIn this paper, we establish a connection between joint moments of characteristic polynomials and their derivatives in the Circular Jacobi Ensemble, a generalisation of the Circular Unitary Ensemble,…Thomas Bothner, Fei Wei·Aug 25, 2026·Top 40%SaveLearn
Boundary Free Energies, Quenched Mixing, and Gibbs-State Selection in Disordered Ising ModelsWe study boundary free energies and half-space responses in nearest-neighbor disordered Ising models. First, we prove the existence of fixed-depth tangential pressure and identify its derivative…Mauris Chueng, Hexiang Wang, Keheng Zhu·Aug 25, 2026·Top 32%SaveLearn
Non-equilibrium modelling of polyatomic gases: generic framework and 11-moment modelIn this study, we present a thermodynamically consistent framework for modelling polyatomic gases by integrating the general equation for non-equilibrium reversible-irreversible coupling…Masrakain Ahmad, Anil Kumar, Anirudh Singh Rana·Aug 25, 2026·Top 57%SaveLearn
On the Dirichlet-to-Neumann conformal invariant of bounded planar domainsUsing an analogue of Mandelstam-Giddings-Wolpert diagrams, we introduce a new canonical representative of the conformal class of a bounded domain of arbitrary connectivity in C as a flat…Alexey Kokotov, Dmitrii Korikov, Marina Nenasheva·Aug 24, 2026·Top 17%SaveLearn
Hartree--Fock coercivity for twisted bilayer grapheneWe study the minimisers of the Hartree--Fock functional for flat bands in the chiral model of twisted bilayer graphene introduced by Tarnopolsky, Kruchkov, and Vishwanath. Our model is a continuous…Kevin D. Stubbs, Maciej Zworski·Aug 24, 2026·Top 51%SaveLearn
A Comment on Local Hypercube InequalitiesThis comment gives dimension-independent analytic proofs of the local inequalities arising in the odd- and even-dimensional constructions of higher-dimensional partition charge functions. The prior…Keyou Zhuo, Tian-Shun Chen, Kilar Zhang·Aug 24, 2026·Top 75%SaveLearn
Bound States in Exactly Solvable Polaritonic ModelsWe study a one-dimensional scalar model for an effective-mass quasiparticle field coupled to a continuum of two-level atoms with at most one excitation present. We prove a general theorem on the…Sam Johar, Ryogo Katahira, Joseph Kraisler·Aug 24, 2026·Top 78%SaveLearn
Instantons in a Double-Well are Poisson DistributedWe give a rigorous realization of the dilute instanton picture for a semiclassical Schrödinger operator with a symmetric double-well potential on Rn. Using a localized Feynman--Kac…Jacob Shapiro·Aug 24, 2026·Top 31%SaveLearn
Elements of Topology, Differential Geometry and General Relativity for Physicists: A Mathematica-based Tutorial ApproachThis book is a self-contained, tutorial introduction to topology, differential geometry, and general relativity for students and researchers in physics. Its distinguishing feature is a…Balasubramanian Ananthanarayan, Souvik Bera, Subhasish Chakrabarty et al.·Aug 24, 2026·Top 65%SaveLearn
Universality of the conformal anomalyWe prove a universal property of local real one-dimensional modular functors, which may be thought of as central extensions of the sewing operation on the (infinite-dimensional) Segal moduli spaces.…Sid Maibach, Eveliina Peltola·Aug 24, 2026SaveLearn
Correlation inequalities for transversal field models with application to quantum glassesWe study the class of transversal field models with pair interactions, including the quantum Curie-Weiss and the transversal field Ising model, as well as quantum spin glasses based on the…Chokri Manai, Simone Warzel·Aug 24, 2026SaveLearn