Hankel Determinant for a Perturbed Laguerre Weight with Pole Singularities and Generalized Painlev\'e III' EquationWe study the Hankel determinant for the weight xα exp(-x-t1/x-t2/x2), x∈[0,+∞), with α>-1,~t1∈R\0\, ~t2>0. Compared with the weight…Shulin Lyu, Yuanfei Lyu·Feb 28, 2026SaveLearn
Dispersionless Hirota system and hidden symmetries of heavenly equationIn 2021 Konopelchenko, Schief and Szereszewski observed that solutions of 4D dispersionless Hirota system also solve the general heavenly equation describing self-dual vacuum Einstein metrics in…Andriy Panasyuk, Adam Szereszewski·Feb 26, 2026SaveLearn
Stark localization of interacting particlesWe consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diagonalizable, with…Wojciech De Roeck, Amirali Hannani, Alessio Lerose et al.·Feb 26, 2026SaveLearn
Coupling of the continuum and semiclassical limit. Part I: convergence of eigenvaluesWe analyze the semiclassical d-dimensional Schr\"odinger operator in the continuum 12 + λN2 V discretized on a mesh with spacing proportional to 1/N. The…Matthias Keller, Lorenzo Pettinari, Christiaan J. F. van de Ven·Feb 26, 2026SaveLearn
Quantum thermodynamics and semidefinite programming: regularization and algorithmsWe investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurements. We solve a…Emanuele Caputo, Augusto Gerolin, Nataliia Monina et al.·Feb 26, 2026SaveLearn
Normal-ordered equivalent of the Weyl ordering of qj pkThe problem of quantizing a bivariate dynamical system can be reduced to evaluating the ordering of qj pk. Here, we consider the Weyl ordering of qj pk that is then…Hendry M. Lim·Feb 25, 2026SaveLearn
A kinetic interpretation of thermomechanical restrictions of continuaRajagopal and Srinivasa's thermodynamic framework derives constitutive relations in continuum mechanics from two scalar functions describing energy storage and entropy production via a constrained…Patrick E. Farrell, Josef Málek, Ondřej Souček et al.·Feb 24, 2026SaveLearn
Anomalous diffusion properties of stochastic transport by heavy-tailed jump processesIn this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, each weighted by an…Paolo Cifani, Franco Flandoli, Lorenzo Marino·Feb 24, 2026SaveLearn
A mathematical model for the Einstein-Podolsky-Rosen argumentWe study a nonrelativistic system made of two quantum particles constrained to move on a line and a spin located at a fixed point of the line. Initially the two particles are in a maximally entangled…Riccardo Adami, Luigi Barletti, Alessandro Teta·Feb 24, 2026SaveLearn
Haag Duality in the Thermal SectorWe prove that the net of localised von Neumann algebras associated with a real scalar field propagating on Minkowski spacetime, in the KMS representation, satisfies a generalised version of Haag…Stefano Galanda, Leonardo Sangaletti·Feb 23, 2026SaveLearn
Schauder estimates for germs of distributions on smooth manifoldsWe discuss germs of distributions on d-dimensional smooth Riemannian manifolds and, in particular, we derive multi-level Schauder estimates without making any further assumptions on the…Beatrice Costeri, Claudio Dappiaggi, Paolo Rinaldi et al.·Feb 23, 2026SaveLearn
The Huang-Yang formula for the low-density Fermi gas: upper boundWe study the ground state energy of a gas of spin 1/2 fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density ρ, with the Huang-Yang conjecture. The…Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam et al.·Feb 23, 2026SaveLearn
Some effective operators for graphene monolayer superlattices, from variational perturbation theoryOur goal is to provide precise effective operators for monolayer graphene at Fermi energy. We consider the microscopic potential created by a lattice, and add a macroscopic potential with the same…Louis Garrigue·Feb 22, 2026SaveLearn
Causal Architecture in Hidden Quantum Markov ModelsWe introduce a class of causal hidden quantum Markov models (cHQMMs) that reverse the usual order of hidden updates and emissions compared to conventional HQMMs. Using a simple qubit model with a…Abdessatar Souissi, Abdessatar Barhoumi·Feb 22, 2026SaveLearn
Conditional thinning and multiplicative statistics of Laguerre-type orthogonal polynomial ensemblesWe study the local statistics of orthogonal polynomial ensembles near a hard edge, subject to a multiplicative deformation of the measure. Probabilistically, this deformation corresponds to a…Leslie Molag, Guilherme L. F. Silva, Lun Zhang·Feb 20, 2026SaveLearn
Superintegrability and choreographic obstructions in dihedral n-body Hamiltonian systemsWe study planar n-body Hamiltonians with quadratic pair interactions whose coupling pattern is invariant under the dihedral group Dn. After the center of mass is removed, the dynamics separates…A M Escobar-Ruiz, M Fernandez-Guasti·Feb 20, 2026SaveLearn
Prefactorization algebras for the conformal Laplacian: Central charge and Hilbert Fock spaceLet d ≥ 2. We consider the symmetric monoidal category of oriented Riemannian d-manifolds with conformal open embeddings. The prefactorization algebra associated with the conformal Laplacian…Yuto Moriwaki·Feb 19, 2026SaveLearn
Constructing Barut-Girardello coherent states for the isotonic oscillator in the DOOT approachIn this work, we study the quantum system of the isotonic oscillator from the perspective of the diagonal operator ordering technique (DOOT). Within this framework, we construct the associated…Messan Médard Akouetegan, Isiaka Aremua, Mahouton Norbert Hounkonnou·Feb 19, 2026SaveLearn
Multispecies inhomogeneous t-PushTASEP with general capacityWe study an n-species t-PushTASEP, an integrable long-range stochastic process, on a one-dimensional periodic lattice with inhomogeneities x1,…,xL and arbitrary capacity l at each…Arvind Ayyer, Atsuo Kuniba·Feb 19, 2026SaveLearn
Anderson localization for 1-d quasi-periodic Schr\"odinger operators with degenerate weightsWe establish Anderson localization for 1-d discrete Schr\"odinger operators with positive weights. The distinctive feature of this work lies in the degeneracy of the weights, with both the potentials…Yingdu Dong, Haoxuan Liu, Zuhong You et al.·Feb 19, 2026SaveLearn
Two-mode dominance and deterministic parameter bias bounds for equatorial Kerr-de Sitter ringdownWe study scalar waves on subextremal Kerr-de Sitter spacetimes in a compact slow-rotation regime and at a fixed overtone index. Working initially at a fixed cosmological constant >0 and…Ruiliang Li·Feb 18, 2026SaveLearn
Exponential concentration of fluctuations in mean-field boson dynamicsWe study the mean-field dynamics of a system of N interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models with arbitrary…Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma·Feb 18, 2026SaveLearn
Ground state energy of the dilute Bose-Hubbard gas on Bravais latticesWe study interacting bosons on a three-dimensional Bravais lattice with positive hopping amplitudes and on-site repulsive interactions. We prove that, in the dilute limit ρ 0, the ground state…Norbert Mokrzański, Marcin Napiórkowski, Jacek Wojtkiewicz·Feb 18, 2026SaveLearn
The Quantum Symmetric Simple Exclusion Process in the Continuum and Free ProcessesThe quantum symmetric simple exclusion process (QSSEP) is a recent extension of the symmetric simple exclusion process, designed to model quantum coherent fluctuating effects in noisy diffusive…Denis Bernard·Feb 18, 2026SaveLearn
New formula for Asymptotic behavior of the Synchrotron functionSynchrotron radiation plays a central role in astrophysical and high-energy processes. Its spectral description involves the synchrotron function, defined by a non-trivial integral of modified Bessel…Ivan Gonzalez, Daniel Salinas-Arizmendi·Feb 17, 2026SaveLearn