An elementary approach to uniform in time propagation of chaos

Durmus, Alain; Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael

doi:10.1090/proc/14612

An elementary approach to uniform in time propagation of chaos
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by Alain Durmus, Andreas Eberle, Arnaud Guillin and Raphael Zimmer

Proc. Amer. Math. Soc. 148 (2020), 5387-5398

DOI: https://doi.org/10.1090/proc/14612

Published electronically: September 4, 2020

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Abstract:

Based on a coupling approach, we prove uniform in time propagation of chaos for weakly interacting mean-field particle systems with possibly non-convex confinement and interaction potentials. The approach is based on a combination of reflection and synchronous couplings applied to the individual particles. It provides explicit quantitative bounds that significantly extend previous results for the convex case.

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