Rota-Baxter operators on braces, post-braces and the Yang-Baxter equationCombining the notions of braces and relative Rota-Baxter operators on groups in connection with the Yang-Baxter equation and a factorization theorem of Lie groups from integrable systems, relative…Li Guo, Yan Jiang, Yunhe Sheng et al.·Dec 18, 2025SaveLearn
On the mean-field antiferromagnetic gap for the half-filled 2D Hubbard model at zero temperatureWe consider the antiferromagnetic gap for the half-filled two-dimensional (2D) Hubbard model (on a square lattice) at zero temperature in Hartree-Fock theory. It was conjectured by Hirsch in 1985…Edwin Langmann, Jonatan Lenells·Dec 18, 2025SaveLearn
Emergence of Time from a Twisted Spectral Triple in Almost-Commutative GeometryThis proceeding presents a synthesis of recent results on the emergence of pseudo-Riemannian structures from twisted spectral triples within the almostcommutative framework. It provides a unified…Gaston Nieuviarts·Dec 17, 2025SaveLearn
Characterising the sets of quantum states with non-negative Wigner functionFor Hilbert spaces H⊂eq L2( R) we consider the convex sets D+( H) of Wigner-positive states (WPS), i.e.~density matrices over H with…Nicolas J. Cerf, Ulysse Chabaud, Jack Davis et al.·Dec 16, 2025SaveLearn
Power counting in the spectral action matrix modelWe derive power counting formulas for ribbon graph amplitudes that were recently independently discovered in two contexts, namely as a generalization of the Kontsevich model, and as corresponding to…Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann·Dec 16, 2025SaveLearn
Perturbative algebraic quantum field theory and beyondIn this review, we summarize the main ideas of perturbative algebraic quantum field theory, which is a rigorous framework combining some of the Haag-Kastler axioms with perturbative methods involving…Romeo Brunetti, Klaus Fredenhagen, Kasia Rejzner·Dec 16, 2025SaveLearn
A Hamiltonian Formalism for Topological RecursionWe propose a string field Hamiltonian formalism that associates a class of spectral curves and provides their quantization through the Chekhov-Eynard-Orantin topological recursion. As illustrative…Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki·Dec 16, 2025SaveLearn
Hamiltonian Information Geometric Regularization of the Compressible Euler EquationsThe recently proposed information geometric regularization (IGR) was the first inviscid regularization of the multi-dimensional compressible Euler equations, which enabled the simulation of realistic…William Barham, Brian K. Tran, Ben S. Southworth et al.·Dec 15, 2025SaveLearn
Entropy dissipation inequality for general binary collision modelsWe introduce a ``two-particle factorization'' condition which allows us to formulate the homogeneous Boltzmann equation for non-reversible collision kernels in terms of an entropy inequality. This…Giada Basile, Dario Benedetto·Dec 15, 2025SaveLearn
Gibbs state postulate from dynamical stability -- Redundancy of the zeroth lawGibbs states play a central role in quantum statistical mechanics as the standard description of thermal equilibrium. Traditionally, their use is justified either by a heuristic, a posteriori…Vjosa Blakaj, Matthias C. Caro, Anouar Kouraich et al.·Dec 15, 2025SaveLearn
Improved Approximation of Infinite Thermostat by Finite Reservoir Using the 3D Kac ModelIn this paper, we study a system of M particles interacting with a reservoir of N particles, where N >> M, and compare this setup to one where the M-particle system interacts with a…Federico Bonetto, Anthony Popa, Matthew Powell et al.·Dec 15, 2025SaveLearn
Operadic Calculus for Higher Colour-Kinematics DualityThe search for algebraic foundations of colour-kinematics duality and the double-copy construction has brought into focus a generalization of Batalin--Vilkovisky algebras, referred to here as coexact…Anibal M. Medina-Mardones, Bruno Vallette·Dec 15, 2025SaveLearn
A no-go theorem for irreversibility along single-branch collapse dynamicsWe study finite dimensional quantum systems with arbitrary collapse events, establishing, under no-information-erasure conditions, a structural no-go for operational irreversibility along single…A. Della Corte, L. Guglielmi, M. Farotti·Dec 14, 2025SaveLearn
Continuous binary Darboux transformation as an abstract framework for KdV soliton gasesWe present a unified operator-theoretic framework for constructing deterministic KdV soliton gases and step-type KdV solutions. Starting from Dyson's determinantal formula, we obtain a broad class of…Alexei Rybkin·Dec 13, 2025SaveLearn
Perfect state transfer in inhomogeneous XX model of q-Racah typeNew exactly solvable one-dimensional XX spin chain models that exhibit perfect state transfer are defined. These models have inhomogeneous couplings and magnetic fields determined from the three-term…Nicolas Crampe, Simon Lafrance, Charles Robillard et al.·Dec 13, 2025SaveLearn
Universal Curvature Force on Dislocations from a Cartan Geometric Defect ActionWe develop a unified Cartan geometric framework where dislocations and disclinations correspond to torsion and curvature of the material coframe connection, respectively, and phase defects emerge as…Vinesh Vijayan, T Ishwarya, M Parveenbanu et al.·Dec 13, 2025SaveLearn
Geometric Formulation of Combined Conservative Dissipative Mechanics via Contact Hamiltonian Dynamics Symmetries, Reduction, and Variational IntegratorsWe develop a unified geometric framework for mechanical systems that combine conservative and dissipative dynamics by formulating them on contact manifolds. Within this setting, we identify the Reeb…Vinesh Vijayan, Pasupuleti Thejasree, P Satish Kumar et al.·Dec 13, 2025SaveLearn
Non-Tonelli Finsler Geometry of Exotic Superconductivity: Metastable Vortex Phases and Geometric Phase TransitionsWe develop a thermally coupled Ginzburg-Landau theory on Weakly Non-Tonelli (WNT) Finsler manifolds, extending classical vortex analysis beyond the Tonelli convexity paradigm. The WNT…Y. Alipour Fakhri·Dec 12, 2025SaveLearn
An asymptotically compatible bond-based peridynamics with Gaussian kernelIn this paper, we introduce a novel bond-based peridynamic model that utilizes a Gaussian kernel function. Previous peridynamic models, when directly discretized, have exhibited a lack of…Chenguang Liu, Hao Tian, Jinlong Shao·Dec 12, 2025SaveLearn
A new group of transformations related to the Kullback-Leibler and R\'enyi divergences and universal classes of monotone measures of statistical complexityIn this work we introduce a family of transformations, named divergence transformations, interpolating between any pair of probability density functions sharing the same support. We prove…Razvan Gabriel Iagar, David Puertas-Centeno, Elio V. Toranzo·Dec 12, 2025SaveLearn
The reversed "von Karman/Brazier effect" and a compendiary analytical solutionThe goal of the present study is to offer some accurate analytical formulae for the evaluation of the here defined reversed "von Karman/Brazier's effect", which may appear at first sight anomalous…Ida Mascoloa, Igor Orynyak, Federico Guarracino·Dec 12, 2025SaveLearn
Near-critical Ising, sine-Gordon at the free fermion point, and bosonizationIn this article, we study the continuous correlations of the near-critical Ising model in two dimensions with plus boundary conditions, and prove that doubled correlation functions of primary fields…S. C. Park, Tuomas Virtanen, Christian Webb·Dec 12, 2025SaveLearn
Reducibility of Cartesian product quantum graph equipped with group actionWe consider a Cartesian product quantum graph n1n2 with standard vertex conditions, and complete the decomposition of Hilbert space L2(n1n2) and…Shimei Li, Kai Zhang, Jia Zhao·Dec 12, 2025SaveLearn
FLRW embeddings in Rn+2, differential geometry and conformal photon propagatorThis paper introduces differential-geometric methods to study n-dimensional locally conformally flat spaces as submanifolds in Rn+2. We derive explicit formulas relating intrinsic and…E. Huguet, J. Queva, J. Renaud·Dec 11, 2025SaveLearn
The Radon Transform-Based Sampling Methods for Biharmonic Sources from the Scattered FieldsThis paper presents three quantitative sampling methods for reconstructing extended sources of the biharmonic wave equation using scattered field data. The first method employs an indicator function…Xiaodong Liu, Qingxiang Shi, Jing Wang·Dec 11, 2025SaveLearn