Combinatorics of free cumulants

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dc.creatorKrawczyk, Bernadette
dc.creatorSpeicher, Roland
dc.date1999-05-17
dc.date.accessioned2026-07-07T05:29:06Z
dc.date.available2026-07-07T05:29:06Z
dc.descriptionWe derive a formula for expressing free cumulants whose entries are products of random variables in terms of the lattice structure of non-crossing partitions. We show the usefulness of that result by giving direct and conceptually simple proofs for a lot of results about $R$-diagonal elements. Our investigations do not assume the trace property for the considered linear functionals.
dc.description26 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/9905094
dc.identifierhttp://arxiv.org/abs/math/9905094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78508
dc.subjectCombinatorics
dc.subjectOperator Algebras
dc.subjectProbability
dc.titleCombinatorics of free cumulants
dc.typetext

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