Generalized Grassmann algebras and applications to stochastic processes
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/32780 |
Resumo: | In this paper, we present the groundwork for an Itô/Malliavin stochastic cal-culus and Hida's white noise analysis in the context of a supersymmetry withZ3-graded algebras. To this end, we establish a ternary Fock space and the cor-responding strong algebra of stochastic distributions and present its applicationin the study of stochastic processes in this context. |
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7160 |
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Generalized Grassmann algebras and applications to stochastic processesFock spaceHypersymmetryStochastic processTernary Grassmann algebraIn this paper, we present the groundwork for an Itô/Malliavin stochastic cal-culus and Hida's white noise analysis in the context of a supersymmetry withZ3-graded algebras. To this end, we establish a ternary Fock space and the cor-responding strong algebra of stochastic distributions and present its applicationin the study of stochastic processes in this context.John Wiley & Sons Ltd2022-12-15T00:00:00Z2021-09-20T00:00:00Z2021-09-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32780eng0170-421410.1002/mma.7781Alpay, DanielCerejeiras, PaulaKahler, Uweinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:03:00Zoai:ria.ua.pt:10773/32780Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:17.894321Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Generalized Grassmann algebras and applications to stochastic processes |
title |
Generalized Grassmann algebras and applications to stochastic processes |
spellingShingle |
Generalized Grassmann algebras and applications to stochastic processes Alpay, Daniel Fock space Hypersymmetry Stochastic process Ternary Grassmann algebra |
title_short |
Generalized Grassmann algebras and applications to stochastic processes |
title_full |
Generalized Grassmann algebras and applications to stochastic processes |
title_fullStr |
Generalized Grassmann algebras and applications to stochastic processes |
title_full_unstemmed |
Generalized Grassmann algebras and applications to stochastic processes |
title_sort |
Generalized Grassmann algebras and applications to stochastic processes |
author |
Alpay, Daniel |
author_facet |
Alpay, Daniel Cerejeiras, Paula Kahler, Uwe |
author_role |
author |
author2 |
Cerejeiras, Paula Kahler, Uwe |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Alpay, Daniel Cerejeiras, Paula Kahler, Uwe |
dc.subject.por.fl_str_mv |
Fock space Hypersymmetry Stochastic process Ternary Grassmann algebra |
topic |
Fock space Hypersymmetry Stochastic process Ternary Grassmann algebra |
description |
In this paper, we present the groundwork for an Itô/Malliavin stochastic cal-culus and Hida's white noise analysis in the context of a supersymmetry withZ3-graded algebras. To this end, we establish a ternary Fock space and the cor-responding strong algebra of stochastic distributions and present its applicationin the study of stochastic processes in this context. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-09-20T00:00:00Z 2021-09-20 2022-12-15T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/32780 |
url |
http://hdl.handle.net/10773/32780 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0170-4214 10.1002/mma.7781 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/embargoedAccess |
eu_rights_str_mv |
embargoedAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
John Wiley & Sons Ltd |
publisher.none.fl_str_mv |
John Wiley & Sons Ltd |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799137698140651520 |