Stochastic homogenization of dynamical discrete optimal transport

2024/11/06 by Gladbach, Peter, Kopfer, Eva
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2411.04157

Abstract

The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in \Rⁿ. Our primary contribution 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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