Lyapunov exponents and rates of mixing for one-dimensional maps

Detalhes bibliográficos
Autor(a) principal: Pinheiro, Vilton Jeovan Viana
Data de Publicação: 2004
Outros Autores: Luzzatto, Stefano, Alves, José Ferreira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14133
Resumo: p. 637-657
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spelling Pinheiro, Vilton Jeovan VianaLuzzatto, StefanoAlves, José Ferreira2013-12-13T11:19:21Z2013-12-13T11:19:21Z20040143-3857http://repositorio.ufba.br/ri/handle/ri/14133v. 24, n. 3p. 637-657We show that one-dimensional maps f with strictly positive Lyapunov exponents almost everywhere admit an absolutely continuous invariant measure. If f is topologically transitive, some power of f is mixing and, in particular, the correlation of Hölder continuous observables decays to zero. The main objective of this paper is to show that the rate of decay of correlations is determined, in some situations, by the average rate at which typical points start to exhibit exponential growth of the derivative.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-12-13T11:19:21Z No. of bitstreams: 1 VILTON PINHEIRO.pdf: 399058 bytes, checksum: 39d7814c5b0767c8e772c365a0b4df73 (MD5)Made available in DSpace on 2013-12-13T11:19:21Z (GMT). No. of bitstreams: 1 VILTON PINHEIRO.pdf: 399058 bytes, checksum: 39d7814c5b0767c8e772c365a0b4df73 (MD5) Previous issue date: 2004http://dx.doi.org/ 10.1017/S0143385703000579reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBALyapunov exponents and rates of mixing for one-dimensional mapsErgodic Theory and Dynamical Systemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALVILTON PINHEIRO.pdfVILTON PINHEIRO.pdfapplication/pdf399058https://repositorio.ufba.br/bitstream/ri/14133/1/VILTON%20PINHEIRO.pdf39d7814c5b0767c8e772c365a0b4df73MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14133/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTVILTON PINHEIRO.pdf.txtVILTON PINHEIRO.pdf.txtExtracted texttext/plain53468https://repositorio.ufba.br/bitstream/ri/14133/3/VILTON%20PINHEIRO.pdf.txt652f7f346146b4c96fdc10ecea6817f2MD53ri/141332022-03-10 14:01:22.823oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-10T17:01:22Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Lyapunov exponents and rates of mixing for one-dimensional maps
dc.title.alternative.pt_BR.fl_str_mv Ergodic Theory and Dynamical Systems
title Lyapunov exponents and rates of mixing for one-dimensional maps
spellingShingle Lyapunov exponents and rates of mixing for one-dimensional maps
Pinheiro, Vilton Jeovan Viana
title_short Lyapunov exponents and rates of mixing for one-dimensional maps
title_full Lyapunov exponents and rates of mixing for one-dimensional maps
title_fullStr Lyapunov exponents and rates of mixing for one-dimensional maps
title_full_unstemmed Lyapunov exponents and rates of mixing for one-dimensional maps
title_sort Lyapunov exponents and rates of mixing for one-dimensional maps
author Pinheiro, Vilton Jeovan Viana
author_facet Pinheiro, Vilton Jeovan Viana
Luzzatto, Stefano
Alves, José Ferreira
author_role author
author2 Luzzatto, Stefano
Alves, José Ferreira
author2_role author
author
dc.contributor.author.fl_str_mv Pinheiro, Vilton Jeovan Viana
Luzzatto, Stefano
Alves, José Ferreira
description p. 637-657
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2013-12-13T11:19:21Z
dc.date.available.fl_str_mv 2013-12-13T11:19:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14133
dc.identifier.issn.none.fl_str_mv 0143-3857
dc.identifier.number.pt_BR.fl_str_mv v. 24, n. 3
identifier_str_mv 0143-3857
v. 24, n. 3
url http://repositorio.ufba.br/ri/handle/ri/14133
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/ 10.1017/S0143385703000579
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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