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20132022
most citedA proof of the Caffarelli contraction theorem via entropic regularization

3 citations · 5 across the 6 of their papers we have counts for

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math.FA2020

Self-improvement of the Bakry-Emery criterion for Poincar{é} inequalities and Wasserstein contraction using variable curvature bounds

Patrick Cattiaux, Max Fathi, Arnaud Guillin

We study Poincar{é} inequalities and long-time behavior for diffusion processes on R^n under a variable curvature lower bound, in the sense of Bakry-Emery. We derive various estima…

math.FA2018

Stability of the Bakry-Emery theorem on

Thomas A. Courtade, Max Fathi

We prove stability estimates for the Bakry-Emery bound on Poincaré and logarithmic Sobolev constants of uniformly log-concave measures. In particular, we improve the quantitative b…