Wick polynomials in non-commutative probability: A group-theoretical approach
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2677 | |
| dc.contributor.author | Ebrahimi-Fard, Kurusch | |
| dc.contributor.author | Patras, Frédéric | |
| dc.contributor.author | Tapia, Nikolas | |
| dc.contributor.author | Zambotti, Lorenzo | |
| dc.date.accessioned | 2022-06-30T12:42:33Z | |
| dc.date.available | 2022-06-30T12:42:33Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Wick 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.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9327 | |
| dc.identifier.uri | https://doi.org/10.34657/8365 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2677 | |
| dc.relation.hasversion | https://doi.org/10.4153/S0008414X21000407 | |
| dc.relation.issn | 2198-5855 | |
| dc.rights.license | This 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.license | Dieses 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.ddc | 510 | |
| dc.subject.other | Wick polynomials | eng |
| dc.subject.other | monotone cumulants | eng |
| dc.subject.other | free cumulants | eng |
| dc.subject.other | boolean cumulants | eng |
| dc.subject.other | formal power series | eng |
| dc.subject.other | combinatorial Hopf algebra | eng |
| dc.subject.other | shuffle algebra | eng |
| dc.subject.other | group actions | eng |
| dc.title | Wick polynomials in non-commutative probability: A group-theoretical approach | eng |
| dc.type | Report | eng |
| dcterms.extent | 25 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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