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arXiv · 2411.04157

Stochastic homogenization of dynamical discrete optimal transport

Peter Gladbach·Eva Kopfer
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Abstract

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 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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Peter Gladbach, Eva Kopfer. 2024-11-06. Stochastic homogenization of dynamical discrete optimal transport. https://doi.org/10.1016/j.jmaa.2025.129883

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