Transport inequalities for log-concave measures, quantitative forms and applications

Published 22 Apr 2015 in math.PR and math.FA | (1504.06147v2)

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.

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Dario Cordero-Erausquin

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