Quantum Entanglement as a Cohomological ObstructionWe recast quantum entanglement as a cohomological obstruction to reconstructing a global quantum state from locally compatible information. We address this by considering presheaf cohomologies of…Kazuki Ikeda·Nov 6, 2025SaveLearn
Spectrum for a non-unitary one-dimensional two-state quantum walk with one defectExistence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted much attention. As…Takako Endo, Yohei Matsumoto, Hiromichi Ohno et al.·Nov 6, 2025SaveLearn
Kenyon's identities for the height function and compactified free field in the dimer modelIn his seminal paper published in 2000 Kenyon developed a method to study the height function of the planar dimer model via discrete complex analysis tools. The core of this method is a set of…Mikhail Basok·Nov 5, 2025SaveLearn
Jacobi equation for field theories and a geometric variational description of dissipationIn this paper we give a geometric description of the Jacobi equations associated to a first-order Lagrangian field theory using a prolongation of the Lagrangian L on a k-cosymplectic formulation.…David Martin de Diego, Najma Mosadegh·Nov 5, 2025SaveLearn
Convolutions and Gaussians in RenormalizationThe Kadanoff-Wilson-Fisher approach to renormalization is based upon studying the renormalization transform, which may be described as an action of the monoid R×≥ 1 on a…Raymond Puzio, Sam McCrosson·Nov 5, 2025SaveLearn
Control-Translated Finsler-type structure and Anisotropic Ginzburg-Landau modelsThis paper develops a geometric and analytical extension of the Finsler--Ginzburg--Landau framework by introducing a distributed control field acting as a translation in the tangent bundle. Within…Y. Alipour Fakhri·Nov 5, 2025SaveLearn
A novel linear transport model with distinct scattering mechanisms for direction and speedWe introduce a novel linear transport equation that models the evolution of a one-particle distribution subject to free transport and two distinct scattering mechanisms: one affecting the particle's…Martina Conte, Nadia Loy·Nov 4, 2025SaveLearn
Dynamics generated by spatially growing derivations on quasi-local algebrasWe prove global existence and uniqueness of dynamics on the quasi-local algebra A of a quantum lattice system for spatially growing derivations $L = Σx [ x , ·…Stefan Teufel, Marius Wesle, Tom Wessel·Nov 4, 2025SaveLearn
Boltzmann-Grad limit for the inelastic Lorentz gas: Part I. Existence, uniqueness, and rigorous derivation via weak convergenceIn this paper we provide a rigorous derivation of the inelastic linear Boltzmann equation, in the Boltzmann-Grad limit, from a dissipative, random, Lorentz gas in arbitrary dimensions d ≥ 2.…Théophile Dolmaire, Alessia Nota·Nov 4, 2025SaveLearn
Nodal Count for Orthogonally Invariant EnsemblesWe investigate the nodal count of eigenvectors of random matrices interpreted as operators on signed complete graphs. Our focus is on orthogonally invariant ensembles, with particular attention to…Lior Alon, Dan Mikulincer, John Urschel·Nov 4, 2025SaveLearn
A regularized Matched Interface and Boundary Method (MIB) for Solving Polarizable Multipole Poisson-Boltzmann modelTo accurately model the electron density and polarization, a polarizable multipole (PM) model using the AMOEBA force field has been introduced Ren:2003, Shi:2013 recently. In the AMOEBA force…Xin Yang, Shan Zhao, Weihua Geng·Nov 4, 2025SaveLearn
Analysis of dissipative dynamics on noncommutative spaces and statistical inference of continuous time network stochastic processesIn this thesis, we analyse the generalisations of the Ornstein-Uhlenbeck (OU) semigroup and study them in both quantum and classical setups. In the first three chapters, we analyse the dissipative…Shreya Mehta·Nov 4, 2025SaveLearn
Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State ProblemsWe study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one…Benjamin Hinrichs, Steffen Polzer·Nov 3, 2025SaveLearn
Quantum Large DeviationsWe reconsider the quantum analogue of Varadhans Theorem proved by Petz, Raggio and Verbeure. They proved this theorem using standard techniques in quantum statistical mechanics of lattice systems to…T. C. Dorlas·Nov 3, 2025SaveLearn
Skinner--Rusk formalism of action-dependent multicontact field theoriesThe newly developed multicontact structure, based on contact and multisymplectic geometries, provides a very general geometrical framework suitable for the treatment of action-dependent classical…Xavier Rivas, Narciso Román-Roy, Annamaria Villanova·Nov 3, 2025SaveLearn
Asymptotic expansion for multiplicative statistics in a Hermitian matrix model connected to the lower tail of the KPZ equationWe explore the multiplicative statistics for a unitary random matrix ensemble with a parameter-dependent deformation inserted in the probability measure. Such deformations had been studied for a…Carla Mariana da Silva Pinheiro·Nov 2, 2025SaveLearn
Mixed superposition rules for Lie systems and compatible geometric structuresMixed superposition rules are, in short, a method to describe the general solutions of a time-dependent system of first-order differential equations, a so-called Lie system, in terms of particular…Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz et al.·Nov 2, 2025SaveLearn
Large deviations of spectral determinants of matrix-valued random Schr\"odinger operators and Dyson Brownian motion in cubic potentialsWe study the moments of |(H-E)|q and the associated large deviations of |(H-E)| where H are random matrix operators involving Laplace operators and random potentials.…Yan Fyodorov, Pierre Le Doussal, Alexander Ossipov·Nov 2, 2025SaveLearn
A Self Propelled Vortex Dipole Model on Surfaces of Variable Negative CurvatureWe investigate vortex dipoles on surfaces of variable negative curvature, focusing on a catenoid of arbitrary throat radius as a concrete example. We construct the effective dynamical system…Khushi Banthia, Rickmoy Samanta·Nov 2, 2025SaveLearn
Lieb-Robinson bounds in classical oscillating lattice systemsThe aim of this paper is two-fold. First, we prove the existence of Lieb-Robinson bounds for classical particle systems describing harmonic oscillators interacting with arbitrarily many neighbors,…Ian Koot, C. J. F. van de Ven·Oct 31, 2025SaveLearn
Isomorphisms of ( 12) to (1,1)-Boson: Universal Enveloping and Kangni-type TransformationIn this study we investigate the nexus between the (12) and the (1,1)-quasi boson Lie structure and reveal related properties as well as some decomposition of spin particles. We…Francis Atta Howard, Kinvi Kangni·Oct 31, 2025SaveLearn
Fusion approach for quantum integrable system associated with the gl(1|1) Lie superalgebraIn this work we obtain the exact solution of quantum integrable system associated with the Lie superalgebra gl(1|1), both for periodic and for generic open boundary conditions. By means…Xiaotian Xu, Wuxiao Wen, Tao Yang et al.·Oct 31, 2025SaveLearn
A simple bound on fluctuations in the 3D Coulomb gasThe Coulomb gas models an interacting system of N negatively charged particles. We give a new proof that, at sufficiently low temperature, smooth linear statistics Σj (xj) are bounded…Alex Cohen, Felipe Hernández·Oct 31, 2025SaveLearn
Physics-Informed Mixture Models and Surrogate Models for Precision Additive ManufacturingIn this study, we leverage a mixture model learning approach to identify defects in laser-based Additive Manufacturing (AM) processes. By incorporating physics based principles, we also ensure that…Sebastian Basterrech, Shuo Shan, Debabrata Adhikari et al.·Oct 30, 2025SaveLearn
On a semi-discrete model of Maxwell's equations in three and two dimensionsIn this paper, we develop a geometric, structure-preserving semi-discrete formulation of Maxwell's equations in both three- and two-dimensional settings within the framework of discrete exterior…Volodymyr Sushch·Oct 30, 2025SaveLearn