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Journal of Mathematical Physics features content in all areas of mathematical physics. Articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods suitable for such applications, and the formulation of physical theories.
Featured Articles
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June 26 2023
Mayer Humi
This paper considers the possible emergence of traveling waves within an evolving interstellar gas cloud. To model this evolution, we use Euler–Poisson equations with the additional assumptions that ...
Research Article
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February 02 2022
Thomas Vidick
The study of quantum correlation sets initiated by Tsirelson in the 1980s and originally motivated by questions in the foundations of quantum mechanics has more recently been tied to questions in ...
Research Article
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March 05 2021
Sam C. Collingbourne
In this paper, a direct rigorous mathematical proof of the Gregory–Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz for the perturbation ...
Editor's Picks
Research Article
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February 19 2025
Zhaobing Fan, Jiaqi Huang et al.
We present and prove the Weyl-Kac type character formula for the irreducible highest weight modules over Borcherds-Bozec superalgebras with dominant integral highest weights.
Research Article
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February 18 2025
Pu Gao, Jianli Liu et al.
In this paper, we first give the global stability of the steady flow of the one-dimensional rotating shallow water equations, by using wave decomposition and uniform prior estimates. Under the ...
Research Article
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January 30 2025
James A. Mingo, Josué Vázquez-Becerra
Let XN be a N × N real Wishart random matrix with aspect ratio M/N. The limit eigenvalue distribution of XN is the Marchenko-Pastur law with parameter c = limNM/N. The limit moments { m ...
Most Recent
Research Article
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March 10 2025
Yanjiao Li, Yunyun Liang et al.
In this paper, a stochastic strongly damped wave equation with polynomial drift and diffusion terms is studied. First we prove there exists a unique solution for this equation by using a truncation ...
Research Article
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March 03 2025
Shaoyue Mi, Dingshi Li et al.
We study the long-time dynamics of stochastic Klein–Gordon–Schrödinger equations driven by infinite-dimensional nonlinear noise defined on integer set. Firstly, we formulate the stochastic lattice ...
Research Article
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March 03 2025
Lu Chen
In the present paper, we consider the reversible system x ̇ = ω 0 + f ( x , y ) , y ̇ = g ( x , y ) , where x ∈ T d, y ∽ 0 ∈ R d, ω0 is ...
Graded Poisson and graded Dirac structures
Manuel de León, Rubén Izquierdo-López
Mathematical models of human memory
Mikhail Katkov, Michelangelo Naim, et al.
Connecting stochastic optimal control and reinforcement learning
J. Quer, Enric Ribera Borrell