Quadratic-Phase Fourier--Bessel Transform: definitions, properties and uncertainty principlesIn this manuscript, we introduce the quadratic--phase Fourier--Bessel transform and develop its foundational properties, including continuity, the Riemann--Lebesgue lemma, reversibility, and…Ahmed Saoudi·Jan 21, 2026SaveLearn
A Real-Space Formulation of the Zak Phase via Weyl m-FunctionsWe establish a new, real-space formula for the Zak phase for one dimensional periodic Jacobi operators in terms of the Weyl m+-function that does not rely on Floquet-Bloch theory. This novel…Habib Ammari, Clemens Thalhammer·Jan 21, 2026SaveLearn
Double Poisson brackets on low dimensional algebrasIn this paper, we describe double Poisson brackets in the sense of M. Van den Bergh on certain finite-dimensional algebras. In particular we prove that all possible double Poisson brackets on matrix…G. I. Sharygin, A. Hernandez Rodriguez·Jan 20, 2026SaveLearn
Dimensional Constraints from SU(2) Representation Theory in Graph-Based Quantum SystemsWe investigate dimensional constraints arising from representation theory when abstract graph edges possess internal degrees of freedom but lack geometric properties. We prove that such internal…João P. da Cruz·Jan 20, 2026SaveLearn
Hamiltonian hydrodynamic reductions of one-dimensional Vlasov equationsWe investigate Hamiltonian fluid reductions of the one-dimensional Vlasov-Poisson equation. Our approach utilizes the hydrodynamic Poisson bracket framework, which allows us to systematically…Rayan Oufar, Cristel Chandre·Jan 20, 2026SaveLearn
Some Consequences of the Grunewald-O'Halloran Conjecture for Pseudoquonic OperatorsInvestigating a recent positive solution of a conjecture of Grunewald and O'Halloran for complex finite dimensional nilpotent Lie algebras, we are in the position to find results of existence and…Fabio Bagarello, Yanga Bavuma, Francesco G. Russo·Jan 20, 2026SaveLearn
The spectral measures of random Jacobi matrices related to beta ensembles at high temperature and Dirichlet processesIn a high temperature regime where β N 2c, the empirical distribution of the eigenvalues of Gaussian beta ensembles, beta Laguerre ensembles and beta Jacobi ensembles converges to a…Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh·Jan 20, 2026SaveLearn
A note on "Higher order linear differential equations for unitary matrix integrals: applications and generalisations"In this note, we briefly introduce the background and motivation of the collaborative work [arXiv:2508.20797], and provide an outline of the main results. The latter relates to matrix and higher…Peter J. Forrester, Fei Wei·Jan 20, 2026SaveLearn
Covariant tomography of fieldsThis paper develops 'covariant tomography', a local framework for solving Inverse Boundary Value Problems (IBVP) for parallel transport equation on star-shaped domains. By integrating geometric…Radosław Antoni Kycia·Jan 19, 2026SaveLearn
The Reduced Phase Space of N=1, D=4 Supergravity in the BV-BFV formalismThis paper describes the reduced phase space of N=1, D=4 supergravity in the fully off-shell Palatini--Cartan formalism. This is achieved through the KT construction, allowing an explicit…Alberto S. Cattaneo, Filippo Fila-Robattino·Jan 19, 2026SaveLearn
Relativistic Hamiltonian as an emergent structure from information geometryWe show that the relativistic energy-momentum relation can emerge as an effective ensemble-averaged structure from a multiplicative Hamiltonian when fluctuations of an auxiliary parameter are treated…Sikarin Yoo-Kong·Jan 19, 2026SaveLearn
Countable basis for free electromagnetic fieldsPolychromatic electromagnetic fields are typically expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not…Ivan Fernandez-Corbaton·Jan 19, 2026SaveLearn
Heun-function analysis of the Dirac spinor spectrum in a sine-Gordon soliton backgroundWe study the Dirac spectrum in a sine-Gordon soliton background, where the induced position-dependent mass reduces the spectral problem to a Heun-type differential equation. Bound and scattering…H. Blas, R. P. N. Laeber Fleitas, J. Silva Barroso·Jan 18, 2026SaveLearn
Non-intersecting Squared Bessel Process: Spectral Moments and Dynamical Entanglement EntropyStatistical ensembles of reduced density matrices of bipartite quantum systems play a central role in entanglement estimation, but do not capture the non-stationary nature of entanglement relevant to…Youyi Huang, Lu Wei·Jan 18, 2026SaveLearn
Fractional Quantum Hall States: Infinite Matrix Product Representation and its ImplicationsWe present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantum field theory.…Severin Schraven, Simone Warzel·Jan 17, 2026SaveLearn
Existence of Decreasing Nambu Solutions to the Rainbow Ladder Gap Equation of QCD by Cone CompressionStudying Nambu solutions of the rainbow-ladder gap equation in QCD at zero temperature and chemical potential, we prove that the mass function emerges continuously from zero as the interaction…Alex Roberts·Jan 16, 2026SaveLearn
Eigenvalue degeneracy in sparse random matricesIn random matrices with independent and continuous matrix entries, the degeneracy probability of the eigenvalues is known to be zero. In this paper, random matrices including discontinuous matrix…Masanari Shimura·Jan 16, 2026SaveLearn
Hyperbolic mean curvature flow computed by physics-informed neural networksIn this paper, we explore the evolution of plane curves and surfaces governed by the hyperbolic mean curvature flow. We propose a mesh-free approach based on the physics-informed neural networks…Shuangshuang Duan, Chunlei He, Shoujun Huang et al.·Jan 16, 2026SaveLearn
Exact Spectrum of a Curvature-Adapted Z23 Dunkl--Deng--Fan/Eckart SystemThis study constructs and exactly solves a curvature-adapted radial Dunkl Hamiltonian for the coordinate-reflection group Z*23 on 3D hyperbolic space, determining how curvature and…Nikko John Leo S. Lobos·Jan 16, 2026SaveLearn
Block Jacobi matrices, Barycentric limits and ManifoldsWe deform block triangular Jacobi matrices appearing in geometry, look at multi-scale Barycentric limits of geometries and droplet boundary manifolds in Potts networks.Oliver Knill·Jan 15, 2026SaveLearn
Finite lattice kinetic equations for bosons, fermions, and discrete NLSWe introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description for the evolution of…Jani Lukkarinen, Sakari Pirnes, Aleksis Vuoksenmaa·Jan 15, 2026SaveLearn
Geometric characterization of frictional impacts by means of breakable kinetic constraintsIn the context of geometric Impulsive Mechanics of systems with a finite number of degrees of freedom, we model the roughness of a unilateral constraint S\/ by introducing a suitable…Stefano Pasquero·Jan 15, 2026SaveLearn
Phase Space structure on Clifford AlgebrasI argue that the Hodge structure on a Euclidean Clifford algebra Cl(n) provides a way to generalise K\"ahler structure to higher dimensions, in the sense that the paired variables are now…C. Robson·Jan 15, 2026SaveLearn
On Force Interactions for Electrodynamics-Like TheoriesA framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in…Vladimir Gol'dshtein, Reuven Segev·Jan 15, 2026SaveLearn
A note on invariants of mixed-state topological order in 2DThe classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided C*-tensor category, which…Yoshiko Ogata·Jan 14, 2026SaveLearn