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ERC Workshop on Optimal Transportation and Applications

Transport proof of weighted Poincaré inequalities for log-concave probability measures.

speaker: Nathael Gozlan (Université Paris Est - Marne la Vallée)

abstract: We prove, using optimal transport tools, weighted Poincar inequalities for log-concave random vectors satisfying some centering conditions. We recover by this way similar results by Klartag and Barthe-Cordero-Erausquin for log-concave random vectors with symmetries. In addition, we prove that the variance conjecture is true for increments of log-concave martingales. Joint work with D. Cordero-Erausquin.


timetable:
Tue 28 Oct, 9:55 - 10:45, Aula Dini
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