Mathematical Physics · Mathematics & Statistics
Mathematical Physics
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408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 21
Asymptotic long-range order for the XY-model on random geometric graphs
We study the classical $XY$-model on random geometric graphs $\mathcal{G}_{n, \varepsilon}$, which are obtained by sampling $n \in \mathbb{N}$ independent points in a finite domain $Ω\subset…The critical exponent for the two-dimensional semilinear wave equation with strong damping
In this manuscript, we determine the critical exponent for the two-dimensional semilinear wave equation with strong damping.Maximizing the fundamental Laplace--Neumann eigenvalue on quadrilaterals
We prove that among convex planar quadrilaterals of equal area, the square uniquely maximizes the first nonzero Laplace--Neumann eigenvalue.The $α$-Limit Problem: Convergence of a Linear Degenerate Interface Transmission Problem
We study the singular limit of a family of linear degenerate interface transmission problems arising from a regularization procedure in the newly proposed Two-Parameter Diffuse Domain Method (DDM2p).Temporally constraining source imaging estimates in an underdetermined neural system with eigenmodes of cortical geometry
Geometric eigenmodes provide a compact and biologically grounded representation of large-scale neural activity.Exit Times for Brownian Motion and Location Detection
In 2023, Wyman and Xi asked ``Can you hear your location on a manifold?'' We pose a related question, asking if probabilistic data can be used to recover location within a manifold.McKean-Vlasov Differential Equations: An introduction and a focus on some kinetic models
These notes were prepared for a series of lectures delivered at the 43rd Finnish Summer School on Probability and Statistics, held in Lammi, Finland, from May 26 to 30, 2025.Szegő-type determinant asymptotics for generalized Hilbert matrices with edge eigenvalues
We compute the large-$N$ asymptotics of the determinant of the identity plus or minus a generalized Hilbert matrix.