Markov structures and decay of correlations for non-uniformly expanding dynamical systems

Detalhes bibliográficos
Autor(a) principal: Alves, José Ferreira
Data de Publicação: 2005
Outros Autores: Luzzatto, Stefano, Pinheiro, Vilton Jeovan Viana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/6645
Resumo: p.817–839
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spelling Alves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan VianaAlves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan Viana2012-08-28T20:22:52Z2012-08-28T20:22:52Z2005-120294-1449http://www.repositorio.ufba.br/ri/handle/ri/6645v. 22, n. 6p.817–839We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure. Moreover, the decay of the return time function can be controlled in terms of the time generic points need to achieve some uniform expanding behavior. As a consequence we obtain some rates for the decay of correlations of those maps and conditions for the validity of the Central Limit Theorem.Submitted by Bruna Lessa (lessbruna@gmail.com) on 2012-08-28T20:22:51Z No. of bitstreams: 1 (178).pdf: 236557 bytes, checksum: aaac365bfa959cb1adae620c70abaa62 (MD5)Made available in DSpace on 2012-08-28T20:22:52Z (GMT). No. of bitstreams: 1 (178).pdf: 236557 bytes, checksum: aaac365bfa959cb1adae620c70abaa62 (MD5) Previous issue date: 2005-12Elsevierhttp://dx.doi.org/10.1016/j.anihpc.2004.12.002reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMarkov structures and decay of correlations for non-uniformly expanding dynamical systemsAnnales de l'Institut Henri Poincaré (C) Non Linear Analysisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL(178).pdf(178).pdfapplication/pdf236557https://repositorio.ufba.br/bitstream/ri/6645/1/%28178%29.pdfaaac365bfa959cb1adae620c70abaa62MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/6645/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT(178).pdf.txt(178).pdf.txtExtracted texttext/plain65600https://repositorio.ufba.br/bitstream/ri/6645/3/%28178%29.pdf.txt73137e6ad6244f4c10e685043fa80adcMD53ri/66452022-08-08 13:17:27.545oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:27Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Markov structures and decay of correlations for non-uniformly expanding dynamical systems
dc.title.alternative.pt_BR.fl_str_mv Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
title Markov structures and decay of correlations for non-uniformly expanding dynamical systems
spellingShingle Markov structures and decay of correlations for non-uniformly expanding dynamical systems
Alves, José Ferreira
title_short Markov structures and decay of correlations for non-uniformly expanding dynamical systems
title_full Markov structures and decay of correlations for non-uniformly expanding dynamical systems
title_fullStr Markov structures and decay of correlations for non-uniformly expanding dynamical systems
title_full_unstemmed Markov structures and decay of correlations for non-uniformly expanding dynamical systems
title_sort Markov structures and decay of correlations for non-uniformly expanding dynamical systems
author Alves, José Ferreira
author_facet Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
author_role author
author2 Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
author2_role author
author
dc.contributor.author.fl_str_mv Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
description p.817–839
publishDate 2005
dc.date.issued.fl_str_mv 2005-12
dc.date.accessioned.fl_str_mv 2012-08-28T20:22:52Z
dc.date.available.fl_str_mv 2012-08-28T20:22:52Z
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://www.repositorio.ufba.br/ri/handle/ri/6645
dc.identifier.issn.none.fl_str_mv 0294-1449
dc.identifier.number.pt_BR.fl_str_mv v. 22, n. 6
identifier_str_mv 0294-1449
v. 22, n. 6
url http://www.repositorio.ufba.br/ri/handle/ri/6645
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.anihpc.2004.12.002
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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