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dc.contributor.authorCattiaux, Patrick
HAL ID: 21560
dc.contributor.authorGentil, Ivan
dc.contributor.authorGuillin, Arnaud
HAL ID: 5334
dc.date.accessioned2009-06-09T16:28:38Z
dc.date.available2009-06-09T16:28:38Z
dc.date.issued2007-01
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/230
dc.language.isoenen
dc.subjectProbabilityen
dc.subject.ddc519en
dc.titleWeak logarithmic Sobolev inequalities and entropic convergence.en
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCentre de Mathématiques Appliquées (CMAP), Université de Versailles-Saint Quentin en Yvelines;France
dc.contributor.editoruniversityotherLaboratoire d'Analyse, Topologie, Probabilités (LATP), Université de Provence;France
dc.contributor.editoruniversityotherUniversité Paris Ouest Nanterre La Défense;France
dc.description.abstractenIn this paper we introduce and study a weakened form of logarithmic Sobolev inequalities in connection with various others functional inequalities (weak Poincaré inequalities, general Beckner inequalities...). We also discuss the quantitative behaviour of relative entropy along a symmetric diffusion semi-group. In particular, we exhibit an example where Poincaré inequality can not be used for deriving entropic convergence whence weak logarithmic Sobolev inequality ensures the result.en
dc.relation.isversionofjnlnameProbability Theory and Related Fields
dc.relation.isversionofjnlvol139en
dc.relation.isversionofjnlissue3-4en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages563-603en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00440-007-0054-5en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00013700/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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