动态离散最优输运的随机均匀化

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-07-10 DOI:10.1016/j.jmaa.2025.129883

Peter Gladbach, Eva Kopfer

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引用次数: 0

摘要

本文的目的是研究嵌入在Rn中的平稳随机图上的动态最优输运的大规模行为。我们的中心定理是一个随机均匀化结果，它用连续最优传输问题来表征离散问题的有效行为，其中均匀化的能量密度来自离散图的几何形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stochastic homogenization of dynamical discrete optimal transport

The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in

R^{n}

. Our central theorem is a stochastic homogenization result that characterizes the effective behavior of the discrete problems in terms of a continuous optimal transport problem, where the homogenized energy density results from the geometry of the discrete graph.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.