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dc.contributor.authorEinav, Amit
dc.contributor.authorCarrapatoso, Kleber
dc.date.accessioned2013-03-27T13:13:20Z
dc.date.available2013-03-27T13:13:20Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11163
dc.language.isoenen
dc.subjectEntropic Stabilityen
dc.subjectEntropic Chaosen
dc.subjectEntropyen
dc.subjectKac's modelen
dc.subjectLocal Lévy central theoremen
dc.subject.ddc519en
dc.titleChaos and Entropic Chaos in Kac's Model Without High Momentsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDPMMS/CMS University of Cambridge;Royaume-Uni
dc.description.abstractenIn this paper we present a new local Lévy Central Limit Theorem, showing convergence to stable states that are not necessarily the Gaussian, and use it to find new and intuitive entropically chaotic families with underlying one-particle function that has moments of order $2\alpha$, with $1<\alpha<2$. We also discuss a lower semi continuity result for the relative entropy with respect to our specific family of functions, and use it to show a form of stability property for entropic chaos in our settings.en
dc.relation.isversionofjnlnameElectronic Journal of Probability
dc.relation.isversionofjnlvol18
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpagesart 78
dc.relation.isversionofdoihttp://dx.doi.org/10.1214/EJP.v18-2683
dc.identifier.urlsitehttp://fr.arxiv.org/abs/1303.4042en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen


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