Wick polynomials in non-commutative probability: A group-theoretical approach

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2677
dc.contributor.authorEbrahimi-Fard, Kurusch
dc.contributor.authorPatras, Frédéric
dc.contributor.authorTapia, Nikolas
dc.contributor.authorZambotti, Lorenzo
dc.date.accessioned2022-06-30T12:42:33Z
dc.date.available2022-06-30T12:42:33Z
dc.date.issued2020
dc.description.abstractWick polynomials and Wick products are studied in the context of non-commutative probability theory. It is shown that free, boolean and conditionally free Wick polynomials can be defined and related through the action of the group of characters over a particular Hopf algebra. These results generalize our previous developments of a Hopf algebraic approach to cumulants and Wick products in classical probability theory.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9327
dc.identifier.urihttps://doi.org/10.34657/8365
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2677
dc.relation.hasversionhttps://doi.org/10.4153/S0008414X21000407
dc.relation.issn2198-5855
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510
dc.subject.otherWick polynomialseng
dc.subject.othermonotone cumulantseng
dc.subject.otherfree cumulantseng
dc.subject.otherboolean cumulantseng
dc.subject.otherformal power serieseng
dc.subject.othercombinatorial Hopf algebraeng
dc.subject.othershuffle algebraeng
dc.subject.othergroup actionseng
dc.titleWick polynomials in non-commutative probability: A group-theoretical approacheng
dc.typeReporteng
dc.typeTexteng
dcterms.extent25 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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