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math.AP2024
Uniform log-Sobolev inequalities for mean field particles beyond flat-convexity
Pierre Monmarché
In the nice recent work [48], S. Wang established uniform log-Sobolev inequalities for mean field particles when the energy is flat convex. In this note we comment how to extend hi…
math.AP2024★ 2 cited
Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions
Pierre Monmarché, Julien Reygner
Non-linear versions of log-Sobolev inequalities, that link a free energy to its dissipation along the corresponding Wasserstein gradient flow (i.e. corresponds to Polyak-Lojasiewic…