Title of article :
LOG-CONCAVE MEASURES
Author/Authors :
FEYEL, D. Quai des Platreries, France , USTUNEL, A. S. Institute Telecom-Paristech, France
Abstract :
We study the log-concave measures, their characterization via the Pr´ekopa-Leindler property and also define a subset of it whose elements are called super log-concave measures which have the property of satisfying a logarithmic Sobolev inequality. We give some results about their stability. Certain relations with measure transportation are also indicated.
Keywords :
Log , concave measures , logarithmic Sobolev inequality , measure transport , PrkopaLeindler inequality , H , convexity.
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
