Autor:	Klartag, Bo'az
Rok vydání:	2012
Předmět:	Mathematics - Metric Geometry Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We prove a log-Sobolev inequality for a certain class of log-concave measures in high dimension. These are the probability measures supported on the unit cube in R^n whose density takes the form exp(-H) where the function H is assumed to be convex (but not strictly convex) with bounded pure second derivatives. Our argument relies on a transportation-cost inequality a la Talagrand. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.1125 Zobrazit plný text záznamu View this record from Arxiv