Weak logarithmic Sobolev inequalities and entropic convergence.

Cattiaux, Patrick; Gentil, Ivan; Guillin, Arnaud

dc.contributor.author	Cattiaux, Patrick HAL ID: 21560
dc.contributor.author	Gentil, Ivan
dc.contributor.author	Guillin, Arnaud HAL ID: 5334
dc.date.accessioned	2009-06-09T16:28:38Z
dc.date.available	2009-06-09T16:28:38Z
dc.date.issued	2007-01
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/230
dc.language.iso	en	en
dc.subject	Probability	en
dc.subject.ddc	519	en
dc.title	Weak logarithmic Sobolev inequalities and entropic convergence.	en
dc.type	Article accepté pour publication ou publié
dc.contributor.editoruniversityother	Centre de Mathématiques Appliquées (CMAP), Université de Versailles-Saint Quentin en Yvelines;France
dc.contributor.editoruniversityother	Laboratoire d'Analyse, Topologie, Probabilités (LATP), Université de Provence;France
dc.contributor.editoruniversityother	Université Paris Ouest Nanterre La Défense;France
dc.description.abstracten	In 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.isversionofjnlname	Probability Theory and Related Fields
dc.relation.isversionofjnlvol	139	en
dc.relation.isversionofjnlissue	3-4	en
dc.relation.isversionofjnldate	2007
dc.relation.isversionofjnlpages	563-603	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/s00440-007-0054-5	en
dc.identifier.urlsite	http://hal.archives-ouvertes.fr/hal-00013700/fr/	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Probabilités et mathématiques appliquées	en

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Weak logarithmic Sobolev inequalities and entropic convergence.

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