Denseness of ergodicity for a class of volume-preserving flows

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2011
Other Authors: Rocha, Jorge
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.2/13881
Summary: 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/10400.2/13881eng10.4171/PM/1878info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-26T09:33:38Zoai:repositorioaberto.uab.pt:10400.2/13881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:01:46.578219Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833599040281903104

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