Stochastic homogenization of dynamical discrete optimal transport
Probability
2025-07-16 v3
Abstract
The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in . 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.
Keywords
Cite
@article{arxiv.2411.04157,
title = {Stochastic homogenization of dynamical discrete optimal transport},
author = {Peter Gladbach and Eva Kopfer},
journal= {arXiv preprint arXiv:2411.04157},
year = {2025}
}