The supersymmetric Scarf I Hamiltonian with reflections and its discrete para-Bannai--Ito versionThe para-Bannai--Ito polynomials are orthogonal on a Bannai--Ito bi-lattice that is two-sided --- it extends on both sides of a central value c0 --- and depend, besides the two grid…Stéphane Z. Beaulac, Nicolas Crampé, Quentin Labriet et al.·Sep 24, 2026SaveLearn
The para--Racah Hamiltonian as an exactly solvable discretization of the Pöschl--Teller boxThe para--Racah Hamiltonian is the Jacobi matrix J of the para--Racah polynomials, taken at the persymmetric value of their isospectral deformation parameter: a mirror--symmetric tridiagonal matrix…Stéphane Z. Beaulac, Nicolas Crampé, Quentin Labriet et al.·Sep 24, 2026SaveLearn
The para--Krawtchouk oscillator and its continuum limitThe para--Krawtchouk polynomials define, through their recurrence relation, a finite oscillator model that carries out fractional revival. We determine the continuum limit of this Hamiltonian, both…Stéphane Z. Beaulac, Nicolas Crampé, Quentin Labriet et al.·Sep 24, 2026SaveLearn
The importance of the change-of-variables integration technique in deriving the PDFs of important probability distributionsThe purpose of this article is to explicitly describe how the integration technique known as the change of variables is used in graduate-level Probability and Statistics courses. Throughout the…Jorge P. Arpasi·Sep 24, 2026SaveLearn
Localization near the edge for the lattice Anderson-Bernoulli model on general dimensionThe Anderson tight-binding model is a fundamental model of quantum transport and localization in disordered media. Completing a problem left open by Bourgain and Kenig, this paper proves Anderson…Linjun Li, Shihe Liu, Lingfu Zhang·Sep 24, 2026SaveLearn
Lie and point symmetries of Nyzhnyk modelsWe consider a hierarchy of models that can be obtained from the original Nyzhnyk system by imposing conditions on parameters, introducing potentials or pseudopotentials, performing limiting processes…Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. Popovych·Sep 24, 2026SaveLearn
Winding Number Statistics of a Parametric Chiral Symplectic Random Matrix EnsembleThe winding number is a simple topological invariant. In the case of chiral symmetry it characterises gapped phases of Fermions. We study statistical properties of this topological index or invariant…Pascal Toschka, Luke Haas, Thomas Guhr et al.·Sep 24, 2026SaveLearn
Structure-preserving diffuse-domain accelerated saddle dynamics for wetting transitionsWetting transitions on textured substrates play a central role in the design of functional surfaces, but resolving their transition mechanisms requires efficient exploration of complex energy…Tianye Xu, Lei Zhang, Yuze Zhang·Sep 24, 2026SaveLearn
Quantum Reverse Hypercontractivity for KMS-Symmetric Quantum Markov SemigroupsIn this paper, we construct primitive KMS-symmetric quantum Markov semigroups for which the p-logarithmic Sobolev constant vanishes at p=1/2 and a correlated graph-based example for which the…Jinsong Wu·Sep 23, 2026SaveLearn
Equivalence Groups of Inhomogeneous HyperelasticityEquivalence groups associated with the field equations of arbitrary motions of inhomogeneous hyperelastic solids are investigated. The explicit forms of the infinitesimal generators, namely the…Saadet S. Özer·Sep 23, 2026SaveLearn
Logarithmic transport at topological phase transitions of one-dimensional chiral quantum systemsThe random hopping Hamiltonian is a toy model for a disorder-driven topological phase transitions in one-dimensional chiral Hamiltonians. It has a vanishing Lyapunov exponent and a Dyson peak in the…Dragan Markovic, Hermann Schulz-Baldes·Sep 23, 2026SaveLearn
Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary AlgebrasWe introduce a class of 2d quantum spin systems based on a unitary spherical fusion category with a chosen object. These models have frustration-free, reflection positive, but generally…Zhengwei Liu, Zishuo Zhao·Sep 23, 2026SaveLearn
Quantized six-vertex model at roots of unity: Frobenius property and free-parafermion spectraWe study the quantized six-vertex (Q6V) model on arbitrary admissible diagrams at q=, where is a primitive Nth root of unity with N odd. For the commuting layer…Rei Inoue, Atsuo Kuniba, Yuji Terashima et al.·Sep 23, 2026SaveLearn
Heun Spectrum, Threshold Hierarchy, and One-Loop Quantum Mass of the Christ--Lee KinkWe study the fluctuation spectrum and renormalized one-loop quantum mass of the Christ--Lee kink over the full positive range of its deformation parameter. The fluctuation equation is reduced exactly…Mulyanto, Afif Jalu Pradipta, Ardian Nata Atmaja et al.·Sep 23, 2026SaveLearn
Asymptotic quasi--local structure induced by Magnetic fieldWe introduce a magnetic coherent--state frame over the Landau levels of the two--dimensional Landau Hamiltonian, indexed by a discrete metric space combining spatial and energy degrees of freedom.…Giuseppe De Nittis·Sep 22, 2026SaveLearn
An upper-symbol approach to Φ4d limits of Bose gasesWe study the high-temperature derivation of Φ4d measures from grand-canonical Bose gases on two- and three-dimensional tori. Building on the upper-symbol variational approach of the author's…Hao Liang·Sep 22, 2026SaveLearn
Asymptotics of Hankel determinants for potentials with singular edge pointsWe establish the large-n asymptotics of Hankel determinants for unitary random matrix ensembles possessing a higher-order edge singularity. We focus on ensembles where the equilibrium measure is…Dan Dai, Jia-Hao Du, Chenhao Lu·Sep 22, 2026SaveLearn
Finite images of braid group representations and algebraic solutions of KZ-type equationsFinite monodromy provides a bridge between group representations and algebraic solutions of differential equations. We study this connection for the Katz-Long-Moody construction, which transforms…Haru Negami·Sep 22, 2026SaveLearn
Finite Rodriguez-Villegas Approximants to the Riemann ξ-FunctionWe construct a sequence of finite Rodriguez-Villegas transforms converging locally uniformly to the Riemann ξ-function in the critical strip. The input is a positive symmetric profile on the unit…Alisson M. Silva·Sep 22, 2026SaveLearn
Bi-Oriented Interlaced Matrix Multiplication and an Operator Factorisation of the Quantum Harmonic OscillatorWe introduce a bi-oriented interlaced matrix product on 2× 2 matrices over a unital, possibly non-associative algebra, extending a matrix mnemonic for Cayley--Dickson doubling. The opposite…Jean-Pierre Gazeau·Sep 21, 2026SaveLearn
On soliton asymptotics for Maxwell--Lorentz equations with rotating particleWe consider the 2D Maxwell--Lorentz equations with an extended charged rotating particle. The system admits soliton solutions corresponding to a particle moving with a constant velocity and rotating…Elena Kopylova·Sep 21, 2026SaveLearn
Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising modelWe prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power 8/15. Random-current moment bounds, a correlation inequality and a…Noam Borgnia, Jui-Hui Chung, Jacob Shapiro·Sep 21, 2026SaveLearn
Lee-Huang-Yang Energy for Dilute Bose Gases: an Upper Bound for General PotentialsWe establish an upper bound for the ground state energy density of a dilute Bose gas, interacting through a general short-range, repulsive potential. To reach this goal, we extend the approach…Giulia Basti, Morris Brooks, Serena Cenatiempo et al.·Sep 21, 2026SaveLearn
Asymptotics for partition functions of random normal matrix models with singularitiesWe study determinantal planar Coulomb gases with a smooth radial potential, a smooth radial perturbation, jump-type singularities (including the bulk, semi-hard, hard, and soft-edge regimes), and a…Kohei Noda·Sep 21, 2026SaveLearn
Eigenvectors and Eigenvalues of p-Curvature Operators for KZ--type Differential ConnectionsA KZ-type connection in characteristic p has p-curvature operators. These operators are commuting endomorphisms of the connection. We present a Bethe-ansatz-type construction of their…Vitaly Tarasov, Alexander Varchenko·Sep 21, 2026SaveLearn