Second Order Cumulants of products

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dc.creatorMingo, James A.
dc.creatorSpeicher, Roland
dc.creatorTan, Edward
dc.date2007-08-03
dc.date.accessioned2026-07-07T13:16:55Z
dc.date.available2026-07-07T13:16:55Z
dc.descriptionWe derive a formula which expresses a second order cumulant whose entries are products as a sum of cumulants where the entries are single factors. This extends to the second order case the formula of Krawczyk and Speicher. We apply our result to the problem of calculating the second order cumulants of a semi-circular and Haar unitary operator.
dc.description37 pages, 23 figures
dc.identifierhttps://arxiv.org/abs/0708.0586
dc.identifierhttp://arxiv.org/abs/0708.0586
dc.identifierTrans. Amer. Math. Soc., vol. 361 (2009) 4751 -- 4781
dc.identifierdoi:10.1090/S0002-9947-09-04696-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230949
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject46L54, 15A52, 60F05
dc.titleSecond Order Cumulants of products
dc.typetext

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