Transport inequalities for log-concave measures, quantitative forms and applications
Probability
2016-06-14 v2 Functional Analysis
Abstract
We review some simple techniques based on monotone mass transport that allow to obtain transport-type inequalities for any log-concave probability measure, and for more general measures as well. We discuss quantitative forms of these inequalities, with application to the Brascamp-Lieb variance inequality.
Keywords
Cite
@article{arxiv.1504.06147,
title = {Transport inequalities for log-concave measures, quantitative forms and applications},
author = {Dario Cordero-Erausquin},
journal= {arXiv preprint arXiv:1504.06147},
year = {2016}
}