Displacement convexity of entropy and related inequalities, on graphs

Orateur:	ROBERTO Cyril
Localisation:	Université Paris-Ouest - Nanterre, France
Type:	Journée Bézout-Gatech
Site:	UGE
Salle:	4B 08R
Date de début:	18/12/2013 - 12:00
Date de fin:	18/12/2013 - 12:45

After a short introduction of the notion of Ricci curvature in the continuous setting, I will present a notion of an interpolating path, on graph, and prove some displacement convexity of the entropy along such an interpolation. If time allows I will give some application to functional inequalities of Poincaré, log-Sobolev and transport-entropy type.

Joint work with N. Gozlan, P.M. Samson and P. Tetali (http://perso-math.univ-mlv.fr/users/roberto.cyril/articles/displacement-GRST-journal.pdf).