Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

Entropy, central limit theorem and related problems - Talk 2. Entropy power inequality for Renyi entropy

Site: 
Date: 
29/01/2013 - 10:30 - 12:00
Salle: 
3B081
Orateur: 
BOBKOV Sergey
Localisation: 
Université du Minnesota
Localisation: 
États-Unis
Résumé: 

Abstract. A basic theme for these talks will be the behaviour of the (differential) entropy on convolutions. First, we discuss general properties of the entropy functional, including the entropy power inequality. Renyi's entropy is a natural generalization which shares a number of similar properies. Then we will turn to the problem of rates of convergence in the entropic central limit theorem, and will discuss its connections with the CLT for transport metrics.