Log-concave measures
Probability
2010-05-28 v1 Functional Analysis
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 of Monge-Kantorovitch and the Monge-Amp\'ere equation are also indicated with applications.
Cite
@article{arxiv.1005.5127,
title = {Log-concave measures},
author = {Denis Feyel and A. Suleyman Ustunel},
journal= {arXiv preprint arXiv:1005.5127},
year = {2010}
}