Mass transport and variants of the logarithmic Sobolev inequality

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dc.creatorBarthe, Franck
dc.creatorKolesnikov, Alexander V.
dc.date2007-09-25
dc.date.accessioned2026-07-07T08:32:02Z
dc.date.available2026-07-07T08:32:02Z
dc.descriptionWe develop the optimal transportation approach to modified log-Sobolev inequalities and to isoperimetric inequalities. Various sufficient conditions for such inequalities are given. Some of them are new even in the classical log-Sobolev case. The idea behind many of these conditions is that measures with a non-convex potential may enjoy such functional inequalities provided they have a strong integrability property that balances the lack of convexity. In addition, several known criteria are recovered in a simple unified way by transportation methods and generalized to the Riemannian setting.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0709.3890
dc.identifierhttp://arxiv.org/abs/0709.3890
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138675
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject60E15; 26D10
dc.titleMass transport and variants of the logarithmic Sobolev inequality
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