Chaos and entropic chaos in Kac's model without high moments
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Authors
Carrapatoso, K
Einav, A
Abstract
In this paper we present a new local L'evy 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
Description
Keywords
Local Levy central limit theorem, Kac's model, Entropy, Entropic Chaos, Entropic Stability
Journal Title
Electronic Journal of Probability
Conference Name
Journal ISSN
1083-6489
1083-6489
1083-6489
Volume Title
18
Publisher
Institute of Mathematical Statistics
Publisher DOI
Sponsorship
A. Einav was supported by ERC grant MATKIT