A probabilistic criterion for logarithmic Sobolev inequality

Interactions between Partial Differential Equations & Functional Inequalities

24 November 17:00 - 17:25

Arnaud Guillin - Université Clermont Auvergne

The logarithmic Sobolev inequality, since its first appearance in Gross paper, has attracted a lot of attention these padt thirty years, due to its various applications: entropic decay to equilibrium, concentration of measure, hypercontractivity... We will prove here that these LSI are in fact equivalent to some Lyapunov type conditions which turns out to have a nice interpretation for the natural Markov process associated to the inequality. (Joint work with Patrick Cattiaux).
José A. Carrillo
Imperial College London
Ivan Gentil
Institut Camille Jordan
Helge Holden
NTNU - Norwegian University of Science and Technology
Cédric Villani
Institut Henri Poincaré (IHP)
Boguslaw Zegarlinski
Imperial College London


José A. Carrillo


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