The linearization of the central limit operator in free probability theory

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dc.creatorAnshelevich, Michael
dc.date1998-10-07
dc.date1999-09-16
dc.date.accessioned2026-07-07T05:26:21Z
dc.date.available2026-07-07T05:26:21Z
dc.descriptionWe interpret the Central Limit Theorem as a fixed point theorem for a certain operator, and consider the problem of linearizing this operator. In classical as well as in free probability theory, we consider two methods giving such a linearization, and interpret the result as a weak form of the CLT. In the classical case the analysis involves dilation operators; in the free case more general composition operators appear.
dc.description13 pages; minor revisions; to be published in Probability Theory and Related Fields
dc.identifierhttps://arxiv.org/abs/math/9810047
dc.identifierhttp://arxiv.org/abs/math/9810047
dc.identifierProbab. Theory Relat. Fields 115 (1999) 3, 401-416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77519
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject46L50 (primary), 60F05, 47B38 (secondary)
dc.titleThe linearization of the central limit operator in free probability theory
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