Sharp informational inequalities involving Kullback-Leibler and R\'enyi divergences and a family of scaling-invariant relative Fisher measuresWe introduce a new transformation called relative differential-escort, which extends the usual differential-escort transformation by relating the change of variable to a reference probability…Razvan Gabriel Iagar, David Puertas-Centeno, Elio V. Toranzo·Jul 23, 2025SaveLearn
The second fluctuation-dissipation theorem for the generalized Langevin equationNecessary and sufficient conditions are presented for the existence of (second order) stationary solutions of the generalized Langevin equation under appropriate assumptions on the associated memory…Martin Hanke·Jul 23, 2025SaveLearn
Some classes of finite-dimensional ladder operatorsWe introduce and study some special classes of ladder operators in finite-dimensional Hilbert spaces. In particular we consider a truncated version of quons, their psudo-version, and a third…Fabio Bagarello, Antonino Faddetta, Francesco Oliveri·Jul 22, 2025SaveLearn
Wave solutions for hyperbolic systemsIn this paper we propose a reduction procedure for determining generalized travelling waves for first order quasilinear hyperbolic nonhomogeneous systems. The basic idea is to look for solutions of…N. Manganaro, A. Rizzo·Jul 22, 2025SaveLearn
Analysis of travelling wave equations in sorption processesThis work presents a mathematical model of an adsorption column to study the evolution of contaminant concentration and adsorbed quantity along the longitudinal axis of the filter. The model is…J. Anglada Lloveras, M. Aguareles, E. Barrabés·Jul 22, 2025SaveLearn
Derivation of the Hartree dynamics for a N-particles fermionic 2D system interacting via long-range electric and magnetic two-body singular potentials in a dilute regimeWe show that a 2-dimensional system of N fermions interacting through a pairwise electric and magnetic singular interactions with Slater initial data preserves its Slater structure over time when N…Théotime Girardot·Jul 22, 2025SaveLearn
Singularities of Dirac-Coulomb propagatorsIn this paper we study singularities of propagators and N-point functions for Dirac fields in a Coulomb potential, possibly with a t-dependent smooth part for |t|<T<∞. We show that the in…Dean Baskin, Michał Wrochna, Jared Wunsch·Jul 21, 2025SaveLearn
Stability and bifurcations of resonances in ring's dynamicsWe use perturbation theory and bifurcation theory to analyze the dynamical behavior of resonances, associated to a model describing a particle moving within a ring around a celestial object. The…Alessandra Celletti, Irene De Blasi, Sara Di Ruzza·Jul 21, 2025SaveLearn
Differential constraints for hyperbolic systems through k-Riemann invariantsIn this paper we develop a reduction procedure for determining exact wave solutions of first order quasilinear hyperbolic one-dimensional nonhomogeneous systems. The approach is formulated within the…Alessandra Jannelli, Natale Manganaro, Alessandra Rizzo·Jul 20, 2025SaveLearn
The Dirac oscillator, generalised parastatistics and colour Lie superalgebrasWe study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the Z2×Z2 -graded Lie superalgebras $…Phillip S. Isaac, Mitchell Ryan·Jul 20, 2025SaveLearn
On the Cowling Approximation: A Verification of Ansatz via Methods of Functional and Asymptotic AnalysisWe study the Cowling approximation by analytical means as applied to a system of linear differential equations arising from models of non-radial stellar pulsation. We consider various asymptotic…Christopher J. Winfield·Jul 19, 2025SaveLearn
Random marked nested tessellations applied to the modelling of deformation twinning in polycrystalline materialsStochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional…Oleksandr Kornijčuk, Luděk Heller, Zbyněk Pawlas et al.·Jul 18, 2025SaveLearn
On the quantum algebra suq(1,1) from a Special Function standpointIn this paper, we study the tensor product of two unitary irreducible representations, as well as the tensor product of a unitary irreducible representation with a finite-dimensional one, and…R. Alvarez-Nodarse, A. Arenas-Gomez·Jul 18, 2025SaveLearn
Liquid Drop Model for Nuclear Matter in the Low Density LimitWe consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our…Rupert L. Frank, Mathieu Lewin, Robert Seiringer·Jul 18, 2025SaveLearn
Moments, Equilibrium Equations and Mutual DistancesWe review and develop the classical theory of moments of configurations of weighted points with a focus on systems with an identically vanishing first moment. The latter condition produces equations…Eduardo S. G. Leandro·Jul 18, 2025SaveLearn
Automorphic equivalence within gapped phases of infinitely extended fermion systemsWe prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a simple application,…Lennart Becker, Stefan Teufel, Marius Wesle·Jul 17, 2025SaveLearn
The Hudson theorem in LCA groups and infinite quantum spin systemsThe celebrated Hudson theorem states that the Gaussian functions in Rd are the only functions whose Wigner distribution is everywhere positive. Motivated by quantum information theory, D.…Fabio Nicola, Federico Riccardi·Jul 17, 2025SaveLearn
Levy Laplacian on manifold and heat flows of differential formsThe Levy Laplacian is an infinite-dimensional differential operator, which is interesting for its connection with the Yang-Mills gauge fields. The article proves the equivalence of various…Boris Volkov·Jul 17, 2025SaveLearn
Minimization of an Energy Functional for an Electron in the quantized Radiation Field over quasifree StatesBuilding upon the works of Bach, Breteaux, and Tzaneteas (2013) and of Bach and Hach (2022), the Bogolubov-Hartree-Fock (BHF) energy of the Pauli-Fierz Hamiltonian is investigated. Upper and lower…Matthias Herdzik·Jul 16, 2025SaveLearn
Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systemsThe time-dependent Hartree and Hartree-Fock equations provide effective mean-field descriptions for the dynamics of large fermionic systems and play a fundamental role in many areas of physics. In…Duc Viet Hoang, David Mitrouskas, Peter Pickl·Jul 16, 2025SaveLearn
Liouville Quantum Duality and Random Planar MapsWe consider models of block-weighted random planar maps in which possibly decorated maps are decomposed canonically into blocks, each block receiving the weight u. These maps present a transition…Bertrand Duplantier, Emmanuel Guitter·Jul 16, 2025SaveLearn
Asymptotic behavior of eigenvalues of large rank perturbations of large random matricesThe paper is concerned with deformed Wigner random matrices. These matrices are closely related to Deep Neural Networks (DNNs): weight matrices of trained DNNs could be represented in the form $R +…Ievgenii Afanasiev, Leonid Berlyand, Mariia Kiyashko·Jul 16, 2025SaveLearn
Jacobi-Haantjes manifolds, integrability and dissipative mechanical systemsThe notion of Jacobi-Haantjes manifold, consisting of a Jacobi manifold endowed with an algebra of extended Haantjes operator fields, is proposed as a natural geometric framework which allows us to…Rafael Azuaje, Piergiulio Tempesta·Jul 15, 2025SaveLearn
The stability of long-range order in disordered systems: A generalized Ding-Zhuang argumentThe stability of long-range order against quenched disorder is a central problem in statistical mechanics. This paper develops a generalized framework extending the Ding-Zhuang method and integrated…Yejia Chen, Jianwen Zhou, Ruifeng Liu et al.·Jul 15, 2025SaveLearn
From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their PropertiesSelecting an appropriate divergence measure is a critical aspect of machine learning, as it directly impacts model performance. Among the most widely used, we find the Kullback-Leibler (KL)…Gennaro Auricchio, Giovanni Brigati, Paolo Giudici et al.·Jul 15, 2025SaveLearn