dc.contributor.author | Ebrahimi-Fard, Kurusch | |
dc.contributor.author | Patras, Frederic | |
dc.date.accessioned | 2019-07-09T05:38:12Z | |
dc.date.available | 2019-07-09T05:38:12Z | |
dc.date.created | 2018-01-17T23:50:24Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Advances in Mathematics. 2018, 328 112-132. | nb_NO |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/11250/2603776 | |
dc.description.abstract | The theory of cumulants is revisited in the “Rota way”, that is, by following a combinatorial Hopf algebra approach. Monotone, free, and boolean cumulants are considered as infinitesimal characters over a particular combinatorial Hopf algebra. The latter is neither commutative nor cocommutative, and has an underlying unshuffle bialgebra structure which gives rise to a shuffle product on its graded dual. The moment-cumulant relations are encoded in terms of shuffle and half-shuffle exponentials. It is then shown how to express concisely monotone, free, and boolean cumulants in terms of each other using the pre-Lie Magnus expansion together with shuffle and half-shuffle logarithms. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.relation.uri | http://linkinghub.elsevier.com/retrieve/pii/S0001870818300112 | |
dc.title | Monotone, free, and boolean cumulants: a shuffle algebra approach | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 112-132 | nb_NO |
dc.source.volume | 328 | nb_NO |
dc.source.journal | Advances in Mathematics | nb_NO |
dc.identifier.doi | 10.1016/j.aim.2018.01.003 | |
dc.identifier.cristin | 1545888 | |
dc.description.localcode | This article will not be available due to copyright restrictions (c) 2018 by Elsevier | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |