Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spacesWe show that anyon chains, after stabilizing with infinite-dimensional ancilla spaces, factorize locally as tensor products of infinite-dimensional Hilbert spaces. This implies that any unitary…Ian Bunner, Corey Jones·May 20, 2026SaveLearn
Relative trace formulas for obstacle scattering with Neumann and transmission boundary conditionsWe consider the case of scattering by several obstacles in Rd for d ≥ 2. We establish a relative trace formula for Neumann and transmission boundary conditions analogous to the one…Arne Hofmann, Alexander Strohmaier·May 20, 2026SaveLearn
Conformal Barycenters in Quaternionic Hyperbolic BallsWe extend the notion of conformal barycenter, recently introduced by Jačimović and Kalaj for the complex hyperbolic ball, to the quaternionic unit ball . The quaternionic conformal barycenter of…Wensheng Cao, Zhijian Ge·May 20, 2026SaveLearn
Higher-Rank Connections and Deformed Schrödinger OperatorsWe study the connection problem for a class of linear differential equations of order N closely related to the Baxter equation of the quantum Toda chain. The space of solutions is N-dimensional…Jonah Baerman, Alba Grassi, Giovanni Ravazzini·May 19, 2026SaveLearn
Complex deformations of the circle: Group cohomology and Virasoro uniformizationWe approach the question of complexification of the diffeomorphism group of the circle by considering real-analytic maps from the circle into the punctured complex plane with winding number +1. Such…Sid Maibach, Eveliina Peltola·May 19, 2026SaveLearn
Concurrent enforcement of polyconvexity and true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity: application to neural network constitutive modelsThe design of physics-augmented neural networks (PANNs) for the purposes of constitutive modeling has received considerable attention as of late for a variety of material behaviors. Here, we revisit…Maximilian P. Wollner, Dominik K. Klein, Herbert Baaser et al.·May 19, 2026SaveLearn
Numerical approach to the modular operator for fermionic systemsWe numerically approximate the Tomita-Takesaki modular operator for local subalgebras of the 1+1-dimensional massive Majorana field. Our method works at the one-particle level with a discretisation…Henning Bostelmann, Daniela Cadamuro, Christoph Minz·May 19, 2026SaveLearn
The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick modelWe present a complete analysis of the glass transition in the self-overlap-corrected Sherrington-Kirkpatrick (SK) model in a transverse magnetic field, also referred to as the quantum SK model. In…Chokri Manai, Simone Warzel·May 19, 2026SaveLearn
Algebraic Leonard trio approach to rational functions: the Hahn caseThe finite families of Hahn polynomials and associated biorthogonal rational functions are interpreted algebraically in the framework of Leonard trios. We introduce the trio Hahn algebra and prove…Nicolas Crampé, Quentin Labriet, Lucia Morey et al.·May 19, 2026SaveLearn
Positive Criticality and Optimal Hardy Inequality for Fractional LaplaciansWe characterize positive critical Hardy weights for general Laplacians on weighted graphs. We then apply this result to fractional Laplacians on general graphs and use the characterization to…Philipp Hake, Matthias Keller, Felix Pogorzelski·May 19, 2026SaveLearn
Pseudo-Traveling Waves and Bumps in Quantum and Classical Hierarchical Cellular Neural NetworksWe study the existence of pseudo-traveling waves and bump solutions for two classes of hierarchical cellular neural networks (CNNs) defined over the ring of p-adic integers Zp. The…W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung·May 19, 2026SaveLearn
Long-time stability for nonlinear Maryland modelsFor the d-dimensional nonlinear Maryland model equationeq-abs ∂t qn=π(n·+x)qn+ε(Δq)n+|qn|2qn, n∈d, equation with d∈*, $ε∈…Ruijie Cui, Zhiyan Zhao·May 19, 2026SaveLearn
Co-rotating Vortices on Surfaces of Variable Negative Curvature: Hamiltonian Structure and Curvature-Induced DriftVortices in fluids and superfluids are fundamental to phenomena ranging from Bose-Einstein condensates and superfluid films to neutron stars and hydrodynamic micro-rotors, where background geometry…Gaurang Mangesh Joshi, Rickmoy Samanta·May 19, 2026SaveLearn
On the adiabatic invariance of the action of a trapped waveRecently, it has been shown (Gavrilov et al., Nonlinear Dyn, 112, 2024) that in a linear solid discrete-continuous system with several slowly time-varying parameters, the amplitude of a strongly…Ekaterina V. Shishkina, Serge N. Gavrilov·May 19, 2026SaveLearn
Inverse scattering for waveguides in topological insulatorsThis paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We…Guillaume Bal, Xixian Wang, Zhongjian Wang·May 19, 2026SaveLearn
Higher-Rank Mathieu Opers, Toda Chain, and Analytic Langlands CorrespondenceWe study the Riemann-Hilbert problem associated to flat sections of oper connections of arbitrary rank on the twice-punctured Riemann sphere with irregular singularities of the mildest type. We…Jonah Baerman, Giovanni Ravazzini, Joerg Teschner·May 19, 2026SaveLearn
The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactionsWe study the self-adjoint Hamiltonian that models the quantum dynamics of a one-dimensional (1D) three-body system consisting of a light particle interacting with two heavy ones through a zero-range…Claudio Cacciapuoti, Andrea Posilicano, Hamidreza Saberbaghi·May 19, 2026SaveLearn
Longitudinal conductivity at integer quantum Hall transitionsWe consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between…Giovanna Marcelli, Lorenzo Pigozzi, Marcello Porta·May 19, 2026SaveLearn
On the single field formulation in magnetostaticsWe systematically discuss the equivalence of two variational formulations of magnetostatics, in terms of magnetization and magnetic field on the one hand and the single field formulation using only…Stefan Krömer, Giuseppe Tomassetti·May 18, 2026SaveLearn
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamicsThe defocusing nonlinear Schrödinger hydrodynamics supports exact dark solitons under finite density boundary conditions. However, the dark soliton gas, an interacting ensemble of dark solitons, has…Marco Bertola, Deng-Shan Wang, Peng Yan et al.·May 18, 2026SaveLearn
Where solitons are in a KdV soliton gasThe Korteweg-De Vries (KdV) equation is a paradigmatic model of integrable classical fields, admitting solitoning solutions. When many solitons are near to each other, their shapes are modified, and…Benjamin Doyon·May 18, 2026SaveLearn
Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb LatticesWe prove that the ground state of the AKLT models on the hexagonal lattice and the Lieb lattice satisfy the local topological quantum order (LTQO) condition. This will be a consequence of proving…Thomas Jackson, Bruno Nachtergaele, Amanda Young·May 18, 2026SaveLearn
Periods of N-body Systems Determined Through Dimensional AnalysisA generalization of classical dimensional analysis, presented in a separate article, makes it possible to derive Kepler's third law for the period of a two-body system, up to a multiplicative…Dan Jonsson·May 18, 2026SaveLearn
Limit shapes and harmonic tricksThis article has two main goals. First, it provides a self-contained exposition of the tangent plane method for the dimer model - a technique for analyzing arctic curves and limit shapes introduced…Nikolai Kuchumov·May 18, 2026SaveLearn
Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike GraphsWe extend the result of Fannes, Nachtergaele, and Werner on long-range order in the AKLT model on Cayley trees to include various trees and tree-like graphs that obey certain conditions. Our examples…Thomas Jackson·May 18, 2026SaveLearn