Hopf-algebraic deformations of products and wick polynomials
| Author | dc.contributor.author | Ebrahimi-Fard, Kurusch | |
| Author | dc.contributor.author | Patras, Frédéric | |
| Author | dc.contributor.author | Tapia, Nikolas | |
| Author | dc.contributor.author | Zambotti, Lorenzo | |
| Admission date | dc.date.accessioned | 2021-07-07T21:52:51Z | |
| Available date | dc.date.available | 2021-07-07T21:52:51Z | |
| Publication date | dc.date.issued | 2020 | |
| Cita de ítem | dc.identifier.citation | International Mathematics Research Notices, Vol. 2020, No. 24, pp. 10064–10099 | es_ES |
| Identifier | dc.identifier.other | 10.1093/imrn/rny269 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/180497 | |
| Abstract | dc.description.abstract | We present an approach to cumulant–moment relations and Wick polynomials based on extensive use of convolution products of linear functionals on a coalgebra. This allows, in particular, to understand the construction ofWick polynomials as the result of a Hopf algebra deformation under the action of linear automorphisms induced by multivariate moments associated to an arbitrary family of random variables with moments of all orders. We also generalize the notion of deformed product in order to discuss how these ideas appear in the recent theory of regularity structures. | es_ES |
| Patrocinador | dc.description.sponsorship | "Combinatoire Algebrique, Resurgence, Moules et Applications" (CARMA) ANR-12-BS01-0017 Fondation Sciences Mathematiques de Paris Programa Iniciativa Cientifica Milenio through Nucleus Millenium Stochastic Models of Complex and Disordered Systems NC120062 European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant 691070 French National Research Agency (ANR) ANR-15-CE40-0020-01 CONICYT/Doctorado Nacional/2013-21130733 | es_ES |
| Lenguage | dc.language.iso | en | es_ES |
| Publisher | dc.publisher | Oxford University Press | es_ES |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Source | dc.source | International Mathematics Research Notices | es_ES |
| Título | dc.title | Hopf-algebraic deformations of products and wick polynomials | es_ES |
| Document type | dc.type | Artículo de revista | es_ES |
| dcterms.accessRights | dcterms.accessRights | Acceso Abierto | |
| Cataloguer | uchile.catalogador | cfr | es_ES |
| Indexation | uchile.index | Artículo de publicación ISI | |
| Indexation | uchile.index | Artículo de publicación SCOPUS |
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