From variational principles to geometryA method to construct a geometric structure with the same solutions as a given variational principle is presented. The method applies to large families of variational principles. In particular, the…Jordi Gaset Rifà·Sep 26, 2025SaveLearn
Braided dynamical groups, the dynamical Yang-Baxter equation and related structuresWe introduce the notion of a braided dynamical group which is a matched pair of dynamical groups satisfying extra conditions. It is shown to give a solution of the dynamical Yang-Baxter equation and…Chengming Bai, Li Guo, Yunhe Sheng et al.·Sep 26, 2025SaveLearn
Sharp Interface Dynamics in a Minimal Non-Reciprocal Cahn-Hilliard SystemInterest in non-reciprocally coupled systems recently led to the introduction of a minimal non-reciprocally coupled Cahn-Hilliard (CH) model by Brauns and Marchetti in 2024 arXiv:2306.08868, which we…Daniel Gomez, Yoichiro Mori, Sarah Strikwerda·Sep 26, 2025SaveLearn
Average relative entropy of random statesRelative entropy serves as a cornerstone concept in quantum information theory. In this work, we study relative entropy of random states from major generic state models of Hilbert-Schmidt and…Lu Wei·Sep 26, 2025SaveLearn
Asymptotics for a class of singular integrals of quotients with highly degenerate denominatorsIn rigorous study of stochastic models for the wave turbulence theory and R. Peierls's kinetic theory for the thermal conductivity in solids, analysis of integrals of the form $∫M…Alexey Elokhin·Sep 25, 2025SaveLearn
Factorization Algebras for Linearized GravityThe purpose of this work is to bring gravitational theories into play within the quickly developing framework of factorization algebras. We fit the causal structure of Lorentzian manifolds into…Filip Dul·Sep 25, 2025SaveLearn
Two Decades of Probabilistic Approach to Liouville Conformal Field TheoryOver the past twenty years, the probabilistic approach to Liouville Conformal Field Theory (LCFT) has undergone remarkable developments, transforming a collection of ideas at the interface of…Rémi Rhodes, Vincent Vargas·Sep 25, 2025SaveLearn
Complex Lies, Real Physics: The Role of Algebra ComplexificationIn physics, Lie groups represent the algebraic structure that describes symmetry transformations of a given system. Then, the descending Lie algebra of those groups are necessarily real. In most…Tanguy Marsault, Laurent Schoeffel·Sep 25, 2025SaveLearn
Alternative tangent and cotangent structures and their physical applicationsThe conditions under which a given manifold M may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different contexts. For instance,…José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo·Sep 25, 2025SaveLearn
Spectral theory of Schr\"odinger operators with potentials that are measures supported on NWe discuss spectral properties of the one-dimensional Schr\"odinger operator with a potential of the form Σ V(n)δ(x-n). Our main result says that the absolutely continuous spectum of such…Oleg Safronov·Sep 24, 2025SaveLearn
Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theoryWe investigate Turing instability and pattern formation in two-dimensional domains for two reaction-diffusion models, obtained as diffusive limits of kinetic equations for mixtures of monatomic and…Stefano Boccelli, Giorgio Martalò, Romina Travaglini·Sep 24, 2025SaveLearn
SU(N) integrals and tau functionsWe present a family of solvable multi-matrix models associated with an arbitrary embedded graph with a single vertex. The graph with n edges is equipped with 2n corner matrices. The…A. Yu. Orlov·Sep 24, 2025SaveLearn
Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limitWe provide a rigorous derivation of the Landau-Pekar equations from the Fr\"ohlich Hamiltonian in the mean-field limit using Wigner measure techniques. On the classical side, we extend the global…Raphaël Gautier·Sep 24, 2025SaveLearn
Semiclassical limit of polaron dynamics with cutoffWe define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fr\"ohlich Hamiltonian from the viewpoint of Wigner measures. We make…Raphaël Gautier·Sep 24, 2025SaveLearn
Parameter Estimation for Jump-Diffusion Stochastic Master EquationsThis paper investigates parameter estimation for open quantum systems under continuous observation, whose conditional dynamics are governed by jump-diffusion stochastic master equations (SMEs)…Weichao Liang, Shuixin Xiao, Daoyi Dong et al.·Sep 24, 2025SaveLearn
Spin-dependent conformally invariant integral transformAs an extension of the Hilbert transform, which characterizes the spacetime conformally invariant integral transform, we show that, based on the Bhabha theory, a spin-dependent conformally invariant…Seiichi Kuwata·Sep 24, 2025SaveLearn
Superconductivity and Low Energy Excitations in an Attractive Hubbard ModelWe study an attractive Hubbard model on bipartite lattices. In the grand canonical formalism,we prove the existence of superconducting long-range order in the ground state on Lieb lattices with the…Yukimi Goto, Tohru Koma, Hironobu Yoshida·Sep 24, 2025SaveLearn
Spectral Torsion for Nonminimal de-Rham Hodge OperatorIn this paper, we investigate some new spectral torsion which is the extension of spectral torsion for Dirac operators, and compute the spectral torsion associated with nonminimal de Rham-Hodge…Jian Wang, Yong Wang·Sep 24, 2025SaveLearn
An example of path integral reduction for a simple symmetric mechanical system on a product manifoldA path integral reduction procedure in Wiener-type path integrals, based on the approach developed in arXiv:1912.13124, is applied to a simple invariant mechanical system defined on a product…S. N. Storchak·Sep 23, 2025SaveLearn
Approximating Quantum States with Positive Partial Transposes in Multipartite System via Linearized Proximal Alternative Direction Method of MultipliersNumerical approximation of quantum states via convex combinations of states with positive partial transposes (bi-PPT state) in multipartite systems constitutes a fundamental challenge in quantum…Jingwen Fan, Deren Han, Lin Chen·Sep 23, 2025SaveLearn
Perfect t-Embeddings of Uniformly Weighted Generalized Tower GraphsIn this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs satisfy certain…David Keating, Hieu Trung Vu·Sep 23, 2025SaveLearn
Eigenstate thermalization hypothesis versus Bohigas-Giannoni-Schmit conjecture: a comparisonThermalization of a closed chaotic quantum system is commonly addressed in terms of the eigenstate thermalization hypothesis (ETH). An alternative approach uses the Bohigas-Giannoni-Schmit (BGS)…Hans A. Weidenmüller·Sep 22, 2025SaveLearn
Green's functions for magnetic Dirac operators and bulk-edge correspondenceWe study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excluding the latter. We…Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust et al.·Sep 21, 2025SaveLearn
On the Ballistic Transport for limit-periodic Jacobi MatricesMotivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic setting. We show an…Rui Han, Moises Gomez Solis·Sep 20, 2025SaveLearn
On the uniqueness of the discrete Calderon problem on multi-dimensional latticesIn this work, we investigate the discrete Calder\'on problem on grid graphs of dimension three or higher, formed by hypercubic structures. The discrete Calder\'on problem is concerned with…Maolin Deng, Bangti Jin·Sep 20, 2025SaveLearn