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

2015/04/22 by Dario Cordero–Erausquin, Cordero-Erausquin, Dario · 1 citation
Mathematics · Medicine · #FOS: Mathematics #Functional Analysis (math.FA) #Markov Chains and Monte Carlo Methods #Neurological and metabolic disorders #Point processes and geometric inequalities #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1504.06147

openalex publication_date 2015/04/22 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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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• Quantitative stability for the Brascamp-Lieb inequality and moment measures

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