Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications

By Dario Cordero-Erausquin. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2015

49 citations recorded by the source corpus.

Abstract We review some simple techniques based on monotone-mass transport that allow us to obtain transport-type inequalities for any log-concave probability measures, and for more general measures as well. We discuss quantitative forms of these inequalities, with application to the Brascamp–Lieb variance inequality.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/50ac355b0e15d2272faa4ba1a66a0996a1d426b7