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arXiv · 2211.11519

A note on uniform in time mean-field limit in graphs

Pierre Le Bris·Christophe Poquet
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Abstract

In this article we show, in a concise manner, a result of uniform in time propagation of chaos for non exchangeable systems of particles interacting according to a random graph. Provided the interaction is Lipschitz continuous, the restoring force satisfies a general one-sided Lipschitz condition (thus allowing for non-convex confining potential) and the graph is dense enough, we use a coupling method suggested by Eberle known as reflection coupling to obtain uniform in time mean-field limit with bounds that depend explicitly on the graph structure.

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Pierre Le Bris, Christophe Poquet. 2022-11-21. A note on uniform in time mean-field limit in graphs. https://arxiv.org/abs/2211.11519

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