Geodesic
Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications
Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 481-501

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2016-046-3
Mots-clés : 52A40, 60E15, 49Q20, log-concave measures, transport inequality, Brascamp-Lieb inequality, quantitative inequalities 
Cordero-Erausquin, Dario. Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications. Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 481-501. doi: 10.4153/CJM-2016-046-3
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