Heat Kernel and ResurgenceWe study the resurgent structure of short-time heat kernel asymptotics from the viewpoint of Picard-Lefschetz theory. For a real analytic Riemannian manifold, we show the heat kernel admits a…Si Li, Yong Li, Xinxing Tang·Jun 20, 2026SaveLearn
Blocking of 2D bistable reaction-diffusion fronts by obstaclesWe investigate numerically the blocking of two-dimensional bistable reaction diffusion fronts by geometric obstacles. Our goal is to derive quantitative criteria for front propagation in the presence…J. -G. Caputo, G. Cruz-Pacheco, J. Gatlik et al.·Jun 20, 2026SaveLearn
Heavy rigid body with a gyroscope in RnStarting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmetric case, we add to…Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic·Jun 20, 2026SaveLearn
Group Contractions via Infinite-Dimensional Lie TheoryContractions are a procedure to construct a new Lie algebra out of a given one via a singular limit. Specifically, the İnönü--Wigner construction starts with a Lie algebra g with Lie…David Prinz, Alexander Schmeding, Philip K. Schwartz·Jun 20, 2026SaveLearn
Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered SystemsIn this paper, we rigorously prove the bulk-edge correspondence for finite two-dimensional ergodic disordered systems. Specifically, we focus on the short-range Hamiltonians with ergodic disordered…Habib Ammari, Jiayu Qiu·Jun 20, 2026SaveLearn
Spectral asymmetry via pseudodifferential projections: the massless Dirac operatorA new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first author and…Matteo Capoferri, Beatrice Costeri, Claudio Dappiaggi·Jun 20, 2026SaveLearn
Integrating Polchinski's equation by convergent binary tree expansionsWe give a solution to Polchinski's equation for the Wilsonian effective action in terms of an expansion in binary trees, and prove that this expansion converges in fermionic field theories,…Paul Obernolte, Manfred Salmhofer·Jun 19, 2026SaveLearn
Poisson structures of deformed W-algebras and classical W-algebrasIn this paper, we explain how classical W-algebras can be obtained as limits of q-deformed W-algebras in type A. To this end, we give a detailed examination of the construction of deformed…Dong Jun Choi, Uhi Rinn Suh·Jun 19, 2026SaveLearn
Quantum Dilogarithms and New Integrable Lattice Models in Three DimensionsIn this paper we introduce a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices. Algebraically, this commutativity is based on a…Vladimir V. Bazhanov, Rinat M. Kashaev, Vladimir V. Mangazeev et al.·Jun 19, 2026SaveLearn
Projective limits in Euclidean quantum field theory, II: Abelian gauge theoryWe present two constructions of continuum and thermodynamic limits of Abelian polyhedral gauge theories in arbitrary spacetime dimension. The first construction relies on the existence of projective…Svetoslav Zahariev·Jun 19, 2026SaveLearn
Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfacesA key test for any quasi-local energy in general relativity is that it be nonnegative and satisfy a rigidity property; if it vanishes, the region enclosed is flat. We show that the Hawking energy,…Alejandro Peñuela Diaz·Jun 19, 2026SaveLearn
Logarithmic Spectral Distribution of a Non-Hermitian β-EnsembleWe introduce a non-Hermitian β-ensemble and determine its spectral density in the limit of large β and large matrix size n. The ensemble is given by a general tridiagonal complex random matrix…Gernot Akemann, Francesco Mezzadri, Patricia Päßler et al.·Jun 19, 2026SaveLearn
Multi-product Zeno effect achieving higher order convergence ratesThe quantum Zeno effect is a fundamental mechanism for implementing the effective dynamics of projected Hamiltonian and Lindbladian systems. It approximates the target projected evolution by…Tim Möbus·Jun 19, 2026SaveLearn
Gauge invariant generalizations of the Proca equation and the Yang-Mills-Proca equationThe Proca equations (1936) are used in quantum field theory to describe vector bosons (spin 1) with a nonzero mass. The Proca equations are not gauge invariant. In contrast to Stueckelberg's…Nikolay Marchuk·Jun 18, 2026SaveLearn
On the Emergence of Discrete Spectrum for Weakly Disordered Schrödinger OperatorsWe investigate the spectral properties of the Anderson operator perturbed by a localized negative potential, \(-V\). Specifically, we analyze the random Schrödinger operator defined by \(H = -Δ+…Stanislav Molchanov, Oleg Safronov·Jun 18, 2026SaveLearn
Dirac structures on tangent bundles: a geometric framework for variational principles, constrained dynamics, and symmetry reductionWe introduce a Dirac structure on the tangent bundle of a configuration manifold, called a Lagrange--Dirac structure, which is naturally induced by the Lagrangian two-form associated with a…Hiroaki Yoshimura·Jun 18, 2026SaveLearn
Universal Properties of Nonlinearly Perturbed Maxwell TheoryWe show that a general nonlinearly perturbed Maxwell theory of electromagnetism possesses three universal fundamental properties: (i) A finite-energy electric point charge. (ii) Exclusion of…Tengyang Liu, Yisong Yang·Jun 18, 2026SaveLearn
Self-averaging of replica overlaps in the random field Edwards-Anderson modelThe self-averaging of the replica overlap is proven in the Edwards-Anderson (EA) model under random field almost everywhere in the coupling constant space in any dimension. The EA order parameter is…C. Itoi, Y. Sakamoto·Jun 18, 2026SaveLearn
Flowing to Normality and the Fate of the Single Ring TheoremRandom non-hermitian matrix ensembles with double-sided rotation invariance obey, in the limit of large matrix size, the Single Ring Theorem, which states that the support of the mean eigenvalue…Joshua Feinberg, Roman Riser, Richard Scalettar et al.·Jun 18, 2026SaveLearn
Magnetic Double-Wells: Lower Bounds on TunnelingWe study double-well systems with strong magnetic fields and deep potential wells. We present lower bounds on tunneling rates for generic values of the coupling constant. This result was recently…Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein·Jun 18, 2026SaveLearn
The central heat trace on large compact classical groupsWe study the large-N asymptotics of the central trace of the heat kernel on compact classical groups. For every classical family GN⊂ GLN(), we prove a full large-N asymptotic…Thibaut Lemoine, Mylène Maïda·Jun 18, 2026SaveLearn
Topology of Bloch Bands from Cauchy DataIn a previous work, the topology of inversion-symmetric one-dimensional periodic media was characterized through the pole-zero pattern of an impedance-like function associated with Bloch waves. This…Didier Felbacq, Emmanuel Rousseau·Jun 17, 2026SaveLearn
Bulk-boundary correspondence of (1+1)D symmetric gapped phasesWe develop an operator-algebraic framework for boundary conditions and bulk-boundary correspondence in one-dimensional gapped phases with categorical symmetry. Working directly in the thermodynamic…Yizhou Ma, Gen Yue, Tian Lan·Jun 17, 2026SaveLearn
A quantum-like model of political consensus via non self-adjoint HamiltoniansWe discuss here how non self-adjoint Hamiltonians, and their related Heisenberg-like dynamics, can be used to model a political system consisting in a coalition of different parties (forming a…Fabio Bagarello, Gloria Liarda·Jun 17, 2026SaveLearn
A finite element-based eigenvalue analysis for predicting thermal runaway in Li-ion battery packsThermal runaway remains a critical safety concern in battery systems and other thermally active devices, necessitating reliable methods for predicting the conditions under which thermal runaway may…Shailendra Rahi, Vinay Dhakal, Ankur Jain et al.·Jun 17, 2026SaveLearn