A Free Analogue of Shannon's Problem on Monotonicity of Entropy

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dc.creatorShlyakhtenko, D.
dc.date2005-10-05
dc.date.accessioned2026-07-07T06:21:10Z
dc.date.available2026-07-07T06:21:10Z
dc.descriptionWe prove a free probability analog of a result of Artstein-Bally-Barthez-Naor. In particualar we prove that if X_{1},X_{2},... are freely independent identically distributed random variables, then the free entropy chi(X_{1}+...+X_{n}/\sqrt{n}) is monotone increasing for all n. Our proof also leads to a slight simplification of the original argument in the classical case.
dc.identifierhttps://arxiv.org/abs/math/0510103
dc.identifierhttp://arxiv.org/abs/math/0510103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95515
dc.subjectOperator Algebras
dc.subjectProbability
dc.titleA Free Analogue of Shannon's Problem on Monotonicity of Entropy
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