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Chaos and Entropic Chaos in Kac's Model Without High Moments

dc.creatorCarrapatoso, Kleber
dc.creatorEinav, Amit
dc.description.abstractIn 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 , with [Math Processing Error]. 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.
dc.publisherInstitute of Mathematical Statistics
dc.publisherElectronic Journal of Probability
dc.rightsAttribution 2.0 UK: England & Wales
dc.subjectlocal Lévy central limit theorem
dc.subjectKac’s model
dc.subjectentropic chaos
dc.subjectentropic stability
dc.titleChaos and Entropic Chaos in Kac's Model Without High Moments

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