Mathematical Physics · Mathematics & Statistics
Mathematical Physics
The newest papers in Mathematical Physics that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 20
An endpoint exception to a conjectured equality characterization for Laplacian eigenvalue products
We give eight-vertex counterexamples to the equality characterization in Conjecture 20 of Chen, Guo, Li and Wang, Electron.Rank-1-perturbed trickledown theorems: Mixing time of Glauber dynamics for the Sherrington-Kirkpatrick model up to $β\leq \frac{1}{2}+\varepsilon$
We introduce a new family of trickledown theorems, a.k.a., local to global technique to bound the spectral gap of the Glauber dynamics for multi-state spin systems.The Hausdorff dimension of the spectrum of the Thue-Morse Hamiltonian
In 2015, Liu, Qu (Commun.Control of 1D first-order linear hyperbolic systems: a brief survey
At the occasion of the 70th birthday anniversary of Jean-Michel Coron, we review the literature on the control of 1D first-order linear hyperbolic systems, a topic where he has made significant…Integer group determinants for abelian groups of order 24
We determine the integer group determinant sets for $C_{24}$, $C_2\times C_{12}$ and $C_2^2\times C_6$, the three abelian groups of order $24$.Integer group determinants for the elementary abelian group of order 49
Let $G=C_7\times C_7$, and let $S(G)$ denote the set of integer values of its group determinant.Topology Obstructs Pure Foundation Neural Quantum States
Foundation models for ground states in spin-1/2 systems are a promising method for problems ranging from quantum chemistry to identifying new phase diagrams.Local gradient neural operator
Field temporal prediction and source identification constitute canonical problems in dynamical systems.PPIM: Pennes Physics-Informed Mamba for Heat-Source-Conditioned 3D Bioheat Simulation
Three-dimensional bioheat simulation aims to predict transient temperature distributions in biological tissue and is commonly modeled using the Pennes bioheat equation, which combines thermal…Optimal Spectral Lower Bounds and Nonradial Nonlinear Asymptotic Stability of a Family of Three-Dimensional Keller--Segel Self-Similar Blow-Up Solutions
This paper studies the spectral properties and nonlinear asymptotic stability of a family of finite-time self-similar blow-up solutions to the three-dimensional Keller--Segel system constructed by…The Spectral Skeleton of Chaos: Koopman Wave Packets on Poincaré Sections
A Poincaré section replaces a flow by a return map, but for a chaotic system this map is usually known only from sampled crossings.Variational Continuation for Double Pendulum Periodic Orbits
We present a Hessian-based approach to numerically continue periodic orbits in dynamical systems.The oriented Kesten--McKay law for random regular digraphs
We consider the adjacency matrix of a random directed $d$-regular graph on $N$ vertices.Construction of Finite Hilbert--Pólya Matrices from Weil's Explicit Formula
Starting from the Riemann--$Ξ$ specialization of Weil's explicit formula, we construct finite real-symmetric Prime--Weil matrices $(\mathbf S)$ from pole, archimedean, and finite prime-power data.A $p$-summability approach to the weak maximizing property
Motivated by the weak maximizing property ($\mathrm{WMP}$), we investigate $p$-summability conditions on maximizing sequences of bounded linear operators.Petersson-Rigid Lattices in a Census of 100 Rank-Three Root Bases
The first paper worked out one family of four lattices in full — |det| = 12, 24, 36and 72.A new proof that more than $2/3$ of the zeros of the Riemann zeta function are simple and on the critical line
We obtain a new, conceptually simpler, unconditional proof that more than $67.25\%$ of the non-trivial zeros of the Riemann zeta function are simple and on the critical line, and that at least…Mutation--selection balance on an infinite trait space: confinement, drift and equilibrium
We study a trait-structured population model incorporating mutation, selection and density-dependent regulation on a countably infinite trait space.The higher-dimensional Shepp problem: an exact criterion for random ball coverings of tori
We solve the Euclidean-ball case of the higher-dimensional Shepp covering problem.Global smooth behavior in Kuznetsov and Westervelt type viscous wave equations: A unifying approach covering $W^{1,q}$-small initial data
In a smoothly bounded domain $\Om\subset\R^n$ with $n\geq 1$ and $a>0$, we consider an initial-boundary value problem for the general viscous wave equation \bas h(u,u_t) u_{tt} = \Del u_t + a\Del u…