Denseness of ergodicity for a class of volume-preserving flows

Detalhes bibliográficos
Autor(a) principal: Bessa, Mário
Data de Publicação: 2011
Outros Autores: Rocha, Jorge
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/13881
Resumo: We consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.
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spelling Denseness of ergodicity for a class of volume-preserving flowsDominated splittingPartial hyperbolicityVolume-preserving flowsLyapunov exponentsStable ergodicityWe consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.European Mathematical SocietyRepositório AbertoBessa, MárioRocha, Jorge2023-05-29T14:43:41Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13881engM. Bessa, J. Rocha, Denseness of ergodicity for a class of volume-preserving flows, Portugaliae Mathematica, 68, 1, 1–17, 201110.4171/PM/1878info: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:RCAAP2023-11-16T15:46:13Zoai:repositorioaberto.uab.pt:10400.2/13881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:48.063109Repositório 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 Denseness of ergodicity for a class of volume-preserving flows
title Denseness of ergodicity for a class of volume-preserving flows
spellingShingle Denseness of ergodicity for a class of volume-preserving flows
Bessa, Mário
Dominated splitting
Partial hyperbolicity
Volume-preserving flows
Lyapunov exponents
Stable ergodicity
title_short Denseness of ergodicity for a class of volume-preserving flows
title_full Denseness of ergodicity for a class of volume-preserving flows
title_fullStr Denseness of ergodicity for a class of volume-preserving flows
title_full_unstemmed Denseness of ergodicity for a class of volume-preserving flows
title_sort Denseness of ergodicity for a class of volume-preserving flows
author Bessa, Mário
author_facet Bessa, Mário
Rocha, Jorge
author_role author
author2 Rocha, Jorge
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
Rocha, Jorge
dc.subject.por.fl_str_mv Dominated splitting
Partial hyperbolicity
Volume-preserving flows
Lyapunov exponents
Stable ergodicity
topic Dominated splitting
Partial hyperbolicity
Volume-preserving flows
Lyapunov exponents
Stable ergodicity
description We consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2023-05-29T14:43:41Z
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/10400.2/13881
url http://hdl.handle.net/10400.2/13881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv M. Bessa, J. Rocha, Denseness of ergodicity for a class of volume-preserving flows, Portugaliae Mathematica, 68, 1, 1–17, 2011
10.4171/PM/1878
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 European Mathematical Society
publisher.none.fl_str_mv European Mathematical Society
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
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