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Modified logarithmic Sobolev inequalities and transportation inequalities

dc.contributor.authorGentil, Ivan
dc.contributor.authorGuillin, Arnaud
HAL ID: 5334
dc.contributor.authorMiclo, Laurent
HAL ID: 3831
ORCID: 0000-0001-5502-2862
dc.date.accessioned2009-06-30T11:35:50Z
dc.date.available2009-06-30T11:35:50Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/557
dc.language.isoenen
dc.subjectLogarithmic Sobolev inequality; Poincaré inequality; Hardy inequalityen
dc.subject.ddc519en
dc.titleModified logarithmic Sobolev inequalities and transportation inequalitiesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité de Provence;
dc.description.abstractenWe present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or $\exp(-|x|^\al\log^\beta(2+|x|))$ ($\al\in]1,2[$ and $\be\in\dR$) which lead to new concentration inequalities. These modified inequalities share common properties with usual logarithmic Sobolev inequalities, as tensorisation or perturbation, and imply as well Poincaré inequality. We also study the link between these new modified logarithmic Sobolev inequalities and transportation inequalities.en
dc.relation.isversionofjnlnameProbability Theory and Related Fields
dc.relation.isversionofjnlvol133en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2005-11
dc.relation.isversionofjnlpages409-436en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00440-005-0432-9en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00001609/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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