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

  • Dario Cordero-Erausquin (a1)

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.

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

  • Dario Cordero-Erausquin (a1)

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