Cohomology of discrete dynamical systems

Detalhes bibliográficos
Autor(a) principal: Laureano, M.
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://ciencia.iscte-iul.pt/id/ci-pub-15287
http://hdl.handle.net/10071/13978
Resumo: This article presents a detailed treatment of Livschitz theorem for hyperbolic diffeomorphisms. Based on the periodic data, this theorem provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions. It is one of the main tools to obtain global data of cohomological nature from the periodic data. Since it is crucial in the statement of Livschitz theorem, it is also presented the Anosov closing lemma.
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spelling Cohomology of discrete dynamical systemsCocyclesCohomological equationsPeriodic dataLivschitz theoremAnosov closing lemmaThis article presents a detailed treatment of Livschitz theorem for hyperbolic diffeomorphisms. Based on the periodic data, this theorem provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions. It is one of the main tools to obtain global data of cohomological nature from the periodic data. Since it is crucial in the statement of Livschitz theorem, it is also presented the Anosov closing lemma.Progress IPS LLC2017-07-12T15:38:21Z2013-01-01T00:00:00Z20132017-07-12T15:37:26Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/id/ci-pub-15287http://hdl.handle.net/10071/13978eng2078-025710.7813/jmt.2013/4-2/7Laureano, M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:29:31Zoai:repositorio.iscte-iul.pt:10071/13978Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:13:11.690266Repositório 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 Cohomology of discrete dynamical systems
title Cohomology of discrete dynamical systems
spellingShingle Cohomology of discrete dynamical systems
Laureano, M.
Cocycles
Cohomological equations
Periodic data
Livschitz theorem
Anosov closing lemma
title_short Cohomology of discrete dynamical systems
title_full Cohomology of discrete dynamical systems
title_fullStr Cohomology of discrete dynamical systems
title_full_unstemmed Cohomology of discrete dynamical systems
title_sort Cohomology of discrete dynamical systems
author Laureano, M.
author_facet Laureano, M.
author_role author
dc.contributor.author.fl_str_mv Laureano, M.
dc.subject.por.fl_str_mv Cocycles
Cohomological equations
Periodic data
Livschitz theorem
Anosov closing lemma
topic Cocycles
Cohomological equations
Periodic data
Livschitz theorem
Anosov closing lemma
description This article presents a detailed treatment of Livschitz theorem for hyperbolic diffeomorphisms. Based on the periodic data, this theorem provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions. It is one of the main tools to obtain global data of cohomological nature from the periodic data. Since it is crucial in the statement of Livschitz theorem, it is also presented the Anosov closing lemma.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2017-07-12T15:38:21Z
2017-07-12T15:37:26Z
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 https://ciencia.iscte-iul.pt/id/ci-pub-15287
http://hdl.handle.net/10071/13978
url https://ciencia.iscte-iul.pt/id/ci-pub-15287
http://hdl.handle.net/10071/13978
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2078-0257
10.7813/jmt.2013/4-2/7
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Progress IPS LLC
publisher.none.fl_str_mv Progress IPS LLC
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
instname_str 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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