Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps

Detalhes bibliográficos
Autor(a) principal: Varandas, Paulo César Rodrigues Pinto
Data de Publicação: 2008
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/5951
Resumo: Acesso restrito: Texto completo. p. 813-839
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spelling Varandas, Paulo César Rodrigues PintoVarandas, Paulo César Rodrigues Pinto2012-05-24T13:49:59Z20080022-4715http://www.repositorio.ufba.br/ri/handle/ri/5951v. 133, n. 5Acesso restrito: Texto completo. p. 813-839We study a robust class of multidimensional non-uniformly hyperbolic transformations considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008). For an open class of Hölder continuous potentials with small variation we show that the unique equilibrium state has exponential decay of correlations and that the distribution of hitting times is asymptotically exponential. Furthermore, using that the equilibrium states satisfy a weak Gibbs property we also prove log-normal fluctuations of the return times around their average.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-05-24T13:49:59Z No. of bitstreams: 1 __www.springerlink.com_c...q543737776230422_fulltext.pdf: 361307 bytes, checksum: 4f608bcf6bdce45ea5bb80f31edd42f1 (MD5)Made available in DSpace on 2012-05-24T13:49:59Z (GMT). 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dc.title.pt_BR.fl_str_mv Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
dc.title.alternative.pt_BR.fl_str_mv Journal of Statistical Physics
title Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
spellingShingle Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
Varandas, Paulo César Rodrigues Pinto
Decay of correlations
Equilibrium states
Non-uniform hyperbolicity
Hitting and return times
title_short Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
title_full Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
title_fullStr Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
title_full_unstemmed Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
title_sort Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
author Varandas, Paulo César Rodrigues Pinto
author_facet Varandas, Paulo César Rodrigues Pinto
author_role author
dc.contributor.author.fl_str_mv Varandas, Paulo César Rodrigues Pinto
Varandas, Paulo César Rodrigues Pinto
dc.subject.por.fl_str_mv Decay of correlations
Equilibrium states
Non-uniform hyperbolicity
Hitting and return times
topic Decay of correlations
Equilibrium states
Non-uniform hyperbolicity
Hitting and return times
description Acesso restrito: Texto completo. p. 813-839
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2012-05-24T13:49:59Z
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/5951
dc.identifier.issn.none.fl_str_mv 0022-4715
dc.identifier.number.pt_BR.fl_str_mv v. 133, n. 5
identifier_str_mv 0022-4715
v. 133, n. 5
url http://www.repositorio.ufba.br/ri/handle/ri/5951
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.source.pt_BR.fl_str_mv http://www.springerlink.com/content/q543737776230422/fulltext.pdf
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