Journée "Équations d'évolution"

A Renormalisation Group Perspective on log-Sobolev Inequalities (3/7)

by Thierry Bodineau (IHES)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

We are going present a multi-scale analysis to derive log-Sobolev inequalities for interacting particle systems. This leads to a generalised Bakry-Emery criterion which can be applied to non-convex potentials. The approach relies on a Hamilton-Jacobi equation know as Polchinski equation. If time allows, we will explain how this multi-scale criterion allows to build Lipschitz transport maps. This talk is based on the survey arXiv:2307.07619 in collaboration with R. Bauerschmidt and B. Dagallier.

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Clément Mouhot