Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability

Detalhes bibliográficos
Autor(a) principal: Castro, A.
Data de Publicação: 2013
Outros Autores: Varandas, Paulo César Rodrigues Pinto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/12022
Resumo: p. 225–249
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spelling Castro, A.Varandas, Paulo César Rodrigues PintoCastro, A.Varandas, Paulo César Rodrigues Pinto2013-06-26T13:19:47Z2013-06-26T13:19:47Z20130294-1449http://www.repositorio.ufba.br/ri/handle/ri/12022v. 30, n. 2p. 225–249We study the rate of decay of correlations for equilibrium states associated to a robust class of non-uniformly expanding maps where no Markov assumption is required. We show that the Ruelle–Perron–Frobenius operator acting on the space of Hölder continuous observables has a spectral gap and deduce the exponential decay of correlations and the central limit theorem. In particular, we obtain an alternative proof for the existence and uniqueness of the equilibrium states and we prove that the topological pressure varies continuously. Finally, we use the spectral properties of the transfer operators in space of differentiable observables to obtain strong stability results under deterministic and random perturbations.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-06-26T13:19:47Z No. of bitstreams: 1 1111111.pdf: 323816 bytes, checksum: 2178ecb972b45c84327ac9dec1c3f83d (MD5)Made available in DSpace on 2013-06-26T13:19:47Z (GMT). No. of bitstreams: 1 1111111.pdf: 323816 bytes, checksum: 2178ecb972b45c84327ac9dec1c3f83d (MD5) Previous issue date: 2013SalvadorAnnales de l'Institut Henri Poincare (C) Non Linear Analysishttp://dx.doi.org/10.1016/j.anihpc.2012.07.004reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAEquilibrium states for non-uniformly expanding maps: Decay of correlations and strong stabilityAnnales de l'Institut Henri Poincare (C) Non Linear Analysisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL1111111.pdf1111111.pdfapplication/pdf323816https://repositorio.ufba.br/bitstream/ri/12022/1/1111111.pdf2178ecb972b45c84327ac9dec1c3f83dMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/12022/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT1111111.pdf.txt1111111.pdf.txtExtracted texttext/plain85540https://repositorio.ufba.br/bitstream/ri/12022/3/1111111.pdf.txt93dd67bf6a4d813dccd8ab95c3ec8ea5MD53ri/120222022-08-08 13:17:43.775oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:43Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
dc.title.alternative.pt_BR.fl_str_mv Annales de l'Institut Henri Poincare (C) Non Linear Analysis
title Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
spellingShingle Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
Castro, A.
title_short Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
title_full Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
title_fullStr Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
title_full_unstemmed Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
title_sort Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability
author Castro, A.
author_facet Castro, A.
Varandas, Paulo César Rodrigues Pinto
author_role author
author2 Varandas, Paulo César Rodrigues Pinto
author2_role author
dc.contributor.author.fl_str_mv Castro, A.
Varandas, Paulo César Rodrigues Pinto
Castro, A.
Varandas, Paulo César Rodrigues Pinto
description p. 225–249
publishDate 2013
dc.date.accessioned.fl_str_mv 2013-06-26T13:19:47Z
dc.date.available.fl_str_mv 2013-06-26T13:19:47Z
dc.date.issued.fl_str_mv 2013
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://www.repositorio.ufba.br/ri/handle/ri/12022
dc.identifier.issn.none.fl_str_mv 0294-1449
dc.identifier.number.pt_BR.fl_str_mv v. 30, n. 2
identifier_str_mv 0294-1449
v. 30, n. 2
url http://www.repositorio.ufba.br/ri/handle/ri/12022
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 Annales de l'Institut Henri Poincare (C) Non Linear Analysis
publisher.none.fl_str_mv Annales de l'Institut Henri Poincare (C) Non Linear Analysis
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.anihpc.2012.07.004
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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