dc.contributor.author | Ebrahimi-Fard, Kurusch | |
dc.contributor.author | Patra, Frédéric | |
dc.contributor.author | Zambotti, Lorenzo | |
dc.contributor.author | Tapia, Nikolas | |
dc.date.accessioned | 2023-11-03T09:26:48Z | |
dc.date.available | 2023-11-03T09:26:48Z | |
dc.date.created | 2023-07-07T13:20:23Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | SIGMA. Symmetry, Integrability and Geometry. 2023, 19 . | en_US |
dc.identifier.issn | 1815-0659 | |
dc.identifier.uri | https://hdl.handle.net/11250/3100443 | |
dc.description.abstract | We study a particular group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a suitable graded connected word Hopf algebra. This group law is left-linear and is therefore associated to a pre-Lie structure on formal power series. We study these structures and show how they can be used to recast in a group theoretic form various identities and transformations on formal power series that have been central in the context of non-commutative probability theory, in particular in Voiculescu's theory of free probability. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Department of Applied Research, Institute of Math | en_US |
dc.rights | Navngivelse-Ikkekommersiell 4.0 Internasjonal | * |
dc.rights | Navngivelse-DelPåSammeVilkår 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/4.0/deed.no | * |
dc.title | Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability | en_US |
dc.title.alternative | Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.volume | 19 | en_US |
dc.source.journal | SIGMA. Symmetry, Integrability and Geometry | en_US |
dc.identifier.doi | 10.3842/SIGMA.2023.038 | |
dc.identifier.cristin | 2161427 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |