From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality

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dc.creatorGentil, Ivan
dc.date2007-10-26
dc.date.accessioned2026-07-07T08:38:49Z
dc.date.available2026-07-07T08:38:49Z
dc.descriptionWe develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux. Using the Prékopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on $\dR^n$, with a strictly convex and super-linear potential. This inequality implies modified logarithmic Sobolev inequality for all uniform strictly convex potential as well as the Euclidean logarithmic Sobolev inequality.
dc.identifierhttps://arxiv.org/abs/0710.5025
dc.identifierhttp://arxiv.org/abs/0710.5025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140867
dc.subjectProbability
dc.titleFrom the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality
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