Free cumulants and enumeration of connected partitions

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dc.creatorLehner, Franz
dc.date2001-10-02
dc.date.accessioned2026-07-07T04:43:37Z
dc.date.available2026-07-07T04:43:37Z
dc.descriptionA combinatorial formula is derived which expresses free cumulants in terms of classical comulants. As a corollary, we give a combinatorial interpretation of free cumulants of classical distributions, notably Gaussian and Poisson distributions. The latter count connected pairings and connected set partitions respectively. The proof relies on Moebius inversion on the partition lattice.
dc.description7 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0110030
dc.identifierhttp://arxiv.org/abs/math/0110030
dc.identifierEuropean J. Combin. 23 (2002), no. 8, 1025--1031
dc.identifierdoi:10.1006/eujc.2002.0619
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62304
dc.subjectCombinatorics
dc.subject05A18, 05A19; 46L54
dc.titleFree cumulants and enumeration of connected partitions
dc.typetext

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