Abstract
Dans cet article, nous proposons une approche des inegalites de transport-entropie fondee sur la minimisation de certaines fonctionnelles definies sur l’espace des mesures de probabilite. Cette approche nous permet en particulier de donner une nouvelle preuve d’un resultat d’Otto et Villani (J. Funct. Anal. 173 (2000) 361–400) montrant que l’inegalite de Sobolev logarithmique entraine l’inegalite de transport de Talagrand.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
