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arXiv · 1504.06147

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

Dario Cordero-Erausquin
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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. 2015-04-22. Transport inequalities for log-concave measures, quantitative forms and applications. https://arxiv.org/abs/1504.06147

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