Zero-divisor algebras of graph functions: quantum caging, entangling routing and stochastic first-passage exclusionWe construct Lie-bialgebraic differential structures on vertex functions of a finite graph using coefficients in commutative algebras with zero divisors. We derive the exact Jacobi criterion for the…Fülöp Bazsó·Jul 22, 2026SaveLearn
Integrability from categorification and the 2-Kac-Moody AlgebraThe theory of Lie bialgebras and the classical Yang-Baxter equation plays a major role in the study of 1+1d integrable systems; many families of integrable systems can be recovered from a Lax pair…Hank Chen, Florian Girelli·Jul 22, 2026SaveLearn
Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian ManifoldsWe propose a geometric--analytic framework for equilibrium statistical mechanics on infinite-dimensional Hamiltonian systems. In situations where no suitable σ-additive invariant measure is…Jean-Pierre Magnot·Jul 21, 2026SaveLearn
Superintegrable systems of two interacting spin-12 particles with first-order vector integrals of motionWe study quantum superintegrability for two interacting non-relativistic spin-12 particles in three-dimensional Euclidean space. The Hamiltonian contains a central potential together with…O. Ogulcan Tuncer, I. Yurdusen·Jul 21, 2026SaveLearn
Lagrange points of the restricted three-body problem in spaces of constant curvatureWe continue the study initiated by Kilin ( Reg. Chaot. Dyn. 4, (1999)) and by Martínez and Simó ( Celest. Mech. Dynam. Astronom. 128, (2017)) on the classification and stability of the…Miguel Ayala, Carlos Barrera-Anzaldo, Luis C. García-Naranjo·Jul 21, 2026SaveLearn
Metric completion of the Bender--Brody--Müller Hamiltonian: dilation spectrum and missing eigenstatesThe Bender--Brody--Müller (BBM) Hamiltonian was proposed as a non-Hermitian Hilbert--Pólya operator. We analyze the Hilbert completion induced, on the standard half-line L2 core, by BBM's…Kejun Liu·Jul 21, 2026SaveLearn
Topological Foundations of Multi-Field Instabilities in Continua: Part 1: Foundations Part 2:Analytical Formulation for 1-D Spin Chains Part 3: Numerical UpscalingThis three-part series establishes a parameter-free, topological classification of multi-field instability in granular continua, extending Maxwell's rigidity count to dynamic, non-equilibrium…Klaus Regenauer-Lieb, Francois Nicot, Amir Saker·Jul 21, 2026SaveLearn
Integrable multi-species SSEP with reactive particle speciesWe investigate integrable exclusion Markov processes constructed from set-theoretical solutions of the Yang-Baxter Equation (YBE) that generalise the multi-species Symmetric Simple Exclusion Process…Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy·Jul 21, 2026SaveLearn
Imaging through rough interfaces: The shower curtain effectThe quality of an image observed through a scattering layer, such as a shower curtain, depends strongly on the relative position of the scattering layer between the object and the observer. This…Cristophe Gomez, Knut Sølna·Jul 21, 2026SaveLearn
Towards General Relativity as a generalized Yang-Mills theoryAs an application of the generalized principal bundle theory to covariant Lagrangian field theories, we aim at the development of an instance of generalized gauge theories, with the prospect of a…Hartwig Winterroth, Lorenzo Fatibene·Jul 21, 2026SaveLearn
Tau functions and correlation functions of the bosonic universal character hierarchyThis paper is concerned with the construction of the bosonic universal character (UC) hierarchy, whose tau functions are investigated within the framework of charged free bosons. The Lie algebra…Denghui Li, Jinzhou Liu, Zhaowen Yan·Jul 21, 2026SaveLearn
Geometry of BPS Attractor, Hessian, and Spectral FlowsWe provide a systematic and rigorous geometric framework that relates three structures naturally associated to BPS central charges in N=2 supersymmetric gauge theories: the split…Qiang Wang·Jul 21, 2026SaveLearn
Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limitsA viscous fluid confined to a thin layer around a curved surface is governed, as the layer thickness vanishes, by an effective viscous operator on the surface. We show that the wall conditions select…Zhi-Wei Wang, Samuel L. Braunstein·Jul 21, 2026SaveLearn
Physico-mathematical model of open quantum systems with varying particle numberWe derive the effective Hamiltonian H - μN for open quantum systems with varying particle number from first principles. Our derivation relies on the general postulates of quantum statistical…Benedikt M. Reible, Luigi Delle Site·Jul 21, 2026SaveLearn
Representations of the D=2 Euclidean and Poincaré groupsWe present an explicit construction of the unitary irreducible representations of the two-dimensional Euclidean and Poincaré groups, together with their Spin double covers, by means of Mackey's…Giovanni Camilletti, María A. Lledó, Mariano A. del Olmo·Jul 21, 2026SaveLearn
Pseudodifferential Weyl calculus on vector bundlesWe develop a geometric framework for Weyl quantization on pseudo-Riemannian manifolds, in which pseudodifferential operators act on sections of vector bundles equipped with pseudo-Hermitian metrics…Lars Andersson, Benjamin Moser, Marius A. Oancea et al.·Jul 21, 2026SaveLearn
A converse to generalized Runcorn's theoremWe study an inverse problem for generalized Runcorn's theorem motivated by an apparent paradox of lunar magnetism. In mathematical terms, we characterize square-integrable complex functions f…Vjekoslav Kovač, Ivica Smolić·Jul 20, 2026SaveLearn
Entropy production in Knudsen thermodynamics of compartmented systemsWe investigate entropy production and nonequilibrium transport in a class of random dynamical systems modeling a Knudsen gas confined to a compartmented container. The system consists of a single…Timothy Chumley, Renato Feres, Zhenyi Zhang·Jul 20, 2026SaveLearn
On the use of equilibrium models to describe dynamic adsorption regimesWe present a column adsorption model that couples a Pseudo-First-Order (PFO) kinetic formulation with the Sips isotherm framework. Using a traveling wave approximation, we derive analytical solutions…M. Calvo-Schwarzwalder, A. Valverde, A. Cuesta López et al.·Jul 20, 2026SaveLearn
Universal Correlators on Exponentially Ramified Spectral CurvesWe investigate generalized topological recursion on compact spectral curves admitting exponential, and more generally essential, singularities as ramification points. Exploiting the global…Mohamad Alameddine, Alexander Hock·Jul 20, 2026SaveLearn
Baxter Q-operators from a Schwinger-Boson construction of the master T-operator and the mKP hierarchyThe master T-operator is a generating function for transfer matrices and a tau-function of the modified KP (mKP) hierarchy. It is conventionally introduced through a Schur-function expansion whose…Zengo Tsuboi·Jul 20, 2026SaveLearn
Anomalous rate of eigenstate thermalisation at singularities of the density of statesWe prove the Eigenstate Thermalisation Hypothesis (ETH), also known as Quantum Unique Ergodicity (QUE), for large N× N mean-field random matrices with general correlation structure. We…László Erdős, Joscha Henheik, Volodymyr Riabov·Jul 20, 2026SaveLearn
Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEsHamiltonian partial differential equations (PDEs) often exhibit long-time dynamics governed by conserved quantities such as mass, momentum, and Hamiltonian energy. Standard Fourier neural operators…Victory C. Obieke, Christopher Chukwuemeka, Emmanuel E. Oguadimma·Jul 20, 2026SaveLearn
A new model for the quantum mechanics of the Hydrogen atomTo every Lorentzian quadratic space (V,q) of even dimension n such that n≥ 4 we attach a canonical algebraic quantum mechanical model for a corresponding generalized hydrogen atom system. In…Joseph Bernstein, Eyal Subag·Jul 20, 2026SaveLearn
From Bopp Shifts to Toroidal Shadows: K-Theoretic Gap Labels in Noncommutative Quantum MechanicsWe study Bopp shifts in two-dimensional noncommutative quantum mechanics (NCQM) through a functorial lens. A nondegenerate NCQM sector with central character (,,B in) determines…S. Hasibul Hassan Chowdhury·Jul 20, 2026SaveLearn