Peter Gladbach, Eva Kopfer
Published 2024-11-06Version 1
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.
Stationary random graphs on $\mathbb{Z}$ with prescribed iid degrees and finite mean connections
Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Sparse expanders have negative Ollivier-Ricci curvature
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