Free probability and combinatorics

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dc.creatorBiane, Philippe
dc.date2003-04-22
dc.date.accessioned2026-07-07T04:57:15Z
dc.date.available2026-07-07T04:57:15Z
dc.descriptionA combinatorial approach to free probability theory has been developped by Roland Speicher, based on the notion of noncrossing cumulants, a free analogue of the classical theory of cumulants in probability theory. We review this theory, and explain the connections between free probability theory and random matrices. We relate noncrossing cumulants to classical cumulants and also to characters of large symmetric groups. Finally we give applications to the asymptotics of representations of symmetric groups, specifically to the Littlewood-Richardson rule.
dc.identifierhttps://arxiv.org/abs/math/0304339
dc.identifierhttp://arxiv.org/abs/math/0304339
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 765--774
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67200
dc.subjectOperator Algebras
dc.subject46L54, 05E10, 60B15
dc.titleFree probability and combinatorics
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