A generalized Stieltjes system with polynomial sourceLet Q be a monic polynomial of degree M+1. We study the algebraic system \[ Σj i1xi-xj=Q(xi), i=1,…,N, \] for pairwise distinct complex numbers x1,…,xN,…D. Masoero, B. Shapiro·Jun 14, 2026SaveLearn
N-transform and factorization of the DN-mapLet (Ω,g) be a smooth compact 3D Riemannian manifold with the smooth boundary Γ, τ(x):= dist\,(x,Γ), x∈Ω; Ωτ:=\x∈Ω\,|\,\, dist\,(x,Γ)<τ\, $Γτ:=\x∈Ω\,|\,\,…M. I. Belishev, D. V. Korikov·Jun 14, 2026SaveLearn
A High-Order Nyström Method for Coupled Boundary Integral Equations in Oblique-Incidence Scattering by Impedance CylindersWe study the numerical solution of electromagnetic scattering by an infinitely long impedance cylinder under oblique incidence. After separation of the axial phase factor, the axial electric and…Haochen Liu, Qinghao Yu·Jun 14, 2026SaveLearn
Generalized symmetries, invariant solutions and conservation laws in the Jaynes-Cummings modelIn this work, we investigate the Jaynes--Cummings model (JCM) using Lie symmetry analysis and conservation-law theory. The dynamics is formulated as a system of partial differential equations by…Luis M. Piñuelas, Pablo C. López Vázquez, Alexander Yakhno·Jun 14, 2026SaveLearn
Exceptional Points as Manifestations of Analyticity Breakdown in the 't Hooft ModelWe use the exactly-solvable t Hooft model of 1+1D large-Nc QCD as a rigorous laboratory for the breakdown of analyticity of a causal response function, the meson two-point function. A PT-symmetric…Kejun Liu·Jun 14, 2026SaveLearn
Geometric Analysis of the Damped Harmonic Oscillator via the Lambert W FunctionThe underdamped harmonic oscillator is analyzed through the complex mapping ζ= e-iφwe-w with w = βt + iΩt, which transforms the dynamics into a logarithmic spiral. Within this framework,…Arpan Sharma, Bhargava R. Jogi, Ken Roberts et al.·Jun 14, 2026SaveLearn
The Standard Model Gauge Group from the Exceptional Jordan AlgebraWe construct the Standard Model gauge group using the exceptional Jordan algebra h3(O) and its automorphism group F4. The group F4 acts on pairs of Jordan…John C. Baez, Paul Schwahn·Jun 13, 2026SaveLearn
On the Non-Commutative Geometry of the Electroweak InteractionIn differential geometry, the underlying mathematical structure behind the electroweak theory is a trivial principal (SU(2)× U(1))--bundle over 4 with the Minkowski metric. The aim of…Gustavo Amilcar Saldaña Moncada·Jun 13, 2026SaveLearn
Spectral transitions in some Rabi modelsWe consider the transition from discrete to continuous spectrum which occurs in some quantum Rabi models. We present recent developments of the subordinacy theory and their applications to study the…Grzegorz Świderski, Lech Zieliński·Jun 13, 2026SaveLearn
Integrable Z22-graded super-Liouville Equation and Induced Z22-graded super-Virasoro AlgebraWe present a framework for enlarging the construction of Z22-graded classical Toda theory from the class of Z22-graded Lie algebras to the class of Z22-graded…Naruhiko Aizawa, Ichi Fujii, Ren Ito et al.·Jun 13, 2026SaveLearn
An integrable hierarchy associated with loop extension of Z22-graded osp(1|2)A hierarchy of Z22-graded integrable equations is constructed using the loop extension of the Z22-graded Lie superalgebra osp(1|2). This hierarchy includes…N. Aizawa, I. Fujii, R. Ito·Jun 13, 2026SaveLearn
Dynamics and equilibrium states of infinite systems of lattice bosonsWe consider the dynamics of systems of lattice bosons with infinitely many degrees of freedom. We show that their dynamics defines a group of automorphisms on a C*--algebra introduced by Buchholz,…Andreas Deuchert, Jonas Lampart, Marius Lemm·Jun 13, 2026SaveLearn
KP integrability of non-perturbative differentialsWe prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal -deformation of the Krichever construction of algebro-geometric solutions of the KP…Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.·Jun 13, 2026SaveLearn
Dynamic Doppler Effects on Dirac Spinor FieldsWe derive the dynamic Doppler effects of noninertial observer motion on Dirac spinor fields, characterizing how proper acceleration, proper jerk, observer path curvature, torsion, and hyper-torsion…Bryce M. Barclay, Alex Mahalov·Jun 12, 2026SaveLearn
A Reverse Hard-Core Model in A2: an Application of the Pirogov-Sinai TheoryIn this paper we use the Pirogov--Sinai theory to analyze a class of particle models of Statistical Mechanics on the unit triangular lattice A2. The models are specified by two…A. Mazel, I. Stuhl, Y. Suhov·Jun 12, 2026SaveLearn
Tensor network manifolds and Riemannian fundamental theorem for tensor networksTensor networks provide a powerful framework for efficiently representing high-dimensional data and many-body quantum states. Endowing tensor networks with a Riemannian manifold structure provides a…Pablo Páez-Velasco·Jun 12, 2026SaveLearn
Generating and Computing Quantum Periods in Exact WKBPeriods of rational integrals appear in quantum mechanics through asymptotic expansions of traces computed with the semiclassical symbol calculus. We develop a novel formal series expansion for the…Max Meynig·Jun 12, 2026SaveLearn
Stationary measures for higher spin vertex models on a stripWe introduce a higher spin vertex model on a strip with fused vertex weights. This model can be regarded as a generalization of both the unfused six-vertex model on a strip arXiv:2212.09111 and an…Zongrui Yang·Jun 12, 2026SaveLearn
Coherent structures and bifurcation analysis in a toxin-driven plant-herbivore modelThis work investigates how toxin-mediated interactions and directed movements shape the emergence of coherent structures in plant-herbivore systems. The analysis focuses on a two-compartment model…Grifo Gabriele, Valenti Giovanna·Jun 11, 2026SaveLearn
Krein Space Quantization and a Spectral Interpretation of the Riemann ξ-FunctionThe invariant two-point function of a scalar field in de Sitter spacetime can be expressed in terms of Legendre functions via Lorentzian harmonic analysis. Using this structure together with the…M. V. Takook·Jun 11, 2026SaveLearn
A Betchov-Type Hydrodynamic Formulation of the Ivancevic Option-Pricing EquationWe show that, under constant-coefficient assumptions, the Ivancevic option-pricing nonlinear Schrödinger equation admits a Betchov-type hydrodynamic formulation analogous to the one appearing in the…Sandeep Kumar·Jun 11, 2026SaveLearn
Rapid mixing for Gibbs measures in Riemannian manifoldsLangevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These…Ángela Capel, Marco Castrillón-López, Sofyan Iblisdir et al.·Jun 11, 2026SaveLearn
Novel energy preserving bijections between affine crystals for Uq(sl2) and integer partitionsLet B(Λa) \, (a=0,1) be the crystal of the level 1 integrable irreducible highest weight representation of the affine quantum group Uq(sl2). We consider the crystal graphs…Sota Miyazawa, Taichiro Takagi·Jun 11, 2026SaveLearn
On a stability of time-optimal version of the Boundary Control methodLet Ω be a Riemannian manifold with boundary. The time-optimal version of the BC-method determines the parameters in the T-neigh\-bor\-hood ΩT of ∂Ω from the boundary observations…Mikhail I. Belishev·Jun 11, 2026SaveLearn
Twisted symmetric exclusion processes and set-theoretical R-matricesWe investigate periodic integrable Markov models, constructed from set-theoretical solutions of the Yang-Baxter equation. We first focus on the simplest class of solutions, called Lyubashenko…Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy·Jun 11, 2026SaveLearn