A criterion for Talagrand's quadratic transportation cost inequality

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dc.creatorCattiaux, Patrick
dc.creatorGuillin, Arnaud
dc.date2003-12-03
dc.date2003-12-17
dc.date.accessioned2026-07-07T05:03:31Z
dc.date.available2026-07-07T05:03:31Z
dc.descriptionWe show that the quadratic transportation cost inequality $T_2$ is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingredient in the proof is a new family of inequalities, called modified quadratic transportation cost inequalities in the spirit of the modified logarithmic-Sobolev inequalities by Bobkov and Ledoux \cite{BL97}, that are shown to hold as soon as a Poincaré inequality is satisfied.
dc.identifierhttps://arxiv.org/abs/math/0312081
dc.identifierhttp://arxiv.org/abs/math/0312081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69451
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject47D07;60E15;60G10
dc.titleA criterion for Talagrand's quadratic transportation cost inequality
dc.typetext

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