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Hopf-algebraic Deformations of Products and Wick Polynomials

Indexado

WoS	WOS:000605103800009
Scopus	SCOPUS_ID:85099232071

DOI

10.1093/IMRN/RNY269

Año

2020

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

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 of Wick 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.

Revista

Revista	ISSN
International Mathematics Research Notices	1073-7928

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Disciplinas de Investigación

WOS
Mathematics

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Ebrahimi-Fard, Kurusch	-	Norwegian Univ Sci & Technol NTNU - Noruega Norges Teknisk-Naturvitenskapelige Universitet - Noruega Universite de Haute Alsace - Francia
2	Patras, Frederic	Hombre	Univ Cote dAzur - Francia Université Côte d'Azur - Francia
3	Tapia, Nikolas	Hombre	Universidad de Chile - Chile Sorbonne Univ - Francia Sorbonne Université - Francia
4	Zambotti, Lorenzo	Hombre	Sorbonne Univ - Francia Sorbonne Université - Francia

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Financiamiento

Fuente
Agence Nationale de la Recherche
European Union's Horizon 2020 Research and Innovation programme under the Marie Sklodowska-Curie grant
Horizon 2020 Framework Programme
Agence Nationale de la Recherche project
Programa Iniciativa Cientifica Milenio through Nucleus Millenium Stochastic Models of Complex and Disordered Systems
Marie Sklodowska-Curie
Fondation Sciences Mathematiques de Paris
"Combinatoire Algebrique, Resurgence, Moules et Applications" (CARMA)

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Agradecimientos

Agradecimiento
This work was supported by "Combinatoire Algebrique, Resurgence, Moules et Applications" (CARMA) [ANR-12-BS01-0017 to F.P.]; CONICYT/Doctorado Nacional/2013-21130733 doctoral scholarship [to N.T.]; "Fondation Sciences Mathematiques de Paris" [to N.T.]; Programa Iniciativa Cientifica Milenio grant number NC120062 through Nucleus Millenium Stochastic Models of Complex and Disordered Systems [to N.T.]; European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 691070 [to. K. E.-F.] and Agence Nationale de la Recherche project [ANR-15-CE40-0020-01 grant LSD to L.Z.].
Fondation Sciences Mathematiques de Paris [to N.T.]; Programa Iniciativa Cientifica Milenio grant number NC120062 through Nucleus Millenium Stochastic Models of Complex and Disordered Systems [to N.T.]; European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 691070 [to. K. E.-F.] and Agence Nationale de la Recherche project [ANR-15-CE40-0020-01 grant LSD to L.Z.].

Agradecimiento

This work was supported by "Combinatoire Algebrique, Resurgence, Moules et Applications" (CARMA) [ANR-12-BS01-0017 to F.P.]; CONICYT/Doctorado Nacional/2013-21130733 doctoral scholarship [to N.T.]; "Fondation Sciences Mathematiques de Paris" [to N.T.]; Programa Iniciativa Cientifica Milenio grant number NC120062 through Nucleus Millenium Stochastic Models of Complex and Disordered Systems [to N.T.]; European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 691070 [to. K. E.-F.] and Agence Nationale de la Recherche project [ANR-15-CE40-0020-01 grant LSD to L.Z.].

Fondation Sciences Mathematiques de Paris [to N.T.]; Programa Iniciativa Cientifica Milenio grant number NC120062 through Nucleus Millenium Stochastic Models of Complex and Disordered Systems [to N.T.]; European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 691070 [to. K. E.-F.] and Agence Nationale de la Recherche project [ANR-15-CE40-0020-01 grant LSD to L.Z.].