Denis Feyel, A. Suleyman Ustunel
Published 2010-05-27Version 1
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 of Monge-Kantorovitch and the Monge-Amp\'ere equation are also indicated with applications.
Journal: TWMS Journal of Pure and Applied Mathematics, Vol. 1, No.1, p. 92-105, 2010
Logarithmic Sobolev inequalities for mollified compactly supported measures
A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Quantitative logarithmic Sobolev inequalities and stability estimates
![QR code for arXiv:1005.5127 [math.PR]](http://oss.arxitics.com/images/favicon.svg)