CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

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

  Published:2017-03-27
 Printed: Jun 2017
  • Dario Cordero-Erausquin,
    Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie - Paris 6, 75252 Paris Cedex 05, France
Format:   LaTeX   MathJax   PDF  

Abstract

We review some simple techniques based on monotone mass transport that allow us 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.
Keywords: log-concave measures, transport inequality, Brascamp-Lieb inequality, quantitative inequalities log-concave measures, transport inequality, Brascamp-Lieb inequality, quantitative inequalities
MSC Classifications: 52A40, 60E15, 49Q20 show english descriptions Inequalities and extremum problems
Inequalities; stochastic orderings
Variational problems in a geometric measure-theoretic setting
52A40 - Inequalities and extremum problems
60E15 - Inequalities; stochastic orderings
49Q20 - Variational problems in a geometric measure-theoretic setting
 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/