Quantitative recurrence for free semigroup actions

Detalhes bibliográficos
Autor(a) principal: Maria Pires de Carvalho
Data de Publicação: 2018
Outros Autores: Fagner B. Rodrigues, Paulo Varandas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/109911
Resumo: We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincare recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besides, we relate the recurrence to balls with the rates of expansion of the semigroup generators and the topological entropy of the semigroup action. Finally, we establish a partial variational principle and prove an ergodic optimization for this kind of dynamical action.
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spelling Quantitative recurrence for free semigroup actionsMatemáticaMathematicsWe consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincare recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besides, we relate the recurrence to balls with the rates of expansion of the semigroup generators and the topological entropy of the semigroup action. Finally, we establish a partial variational principle and prove an ergodic optimization for this kind of dynamical action.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/109911eng0951-771510.1088/1361-6544/aa999fMaria Pires de CarvalhoFagner B. RodriguesPaulo Varandasinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T14:39:36Zoai:repositorio-aberto.up.pt:10216/109911Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:06:11.664858Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Quantitative recurrence for free semigroup actions
title Quantitative recurrence for free semigroup actions
spellingShingle Quantitative recurrence for free semigroup actions
Maria Pires de Carvalho
Matemática
Mathematics
title_short Quantitative recurrence for free semigroup actions
title_full Quantitative recurrence for free semigroup actions
title_fullStr Quantitative recurrence for free semigroup actions
title_full_unstemmed Quantitative recurrence for free semigroup actions
title_sort Quantitative recurrence for free semigroup actions
author Maria Pires de Carvalho
author_facet Maria Pires de Carvalho
Fagner B. Rodrigues
Paulo Varandas
author_role author
author2 Fagner B. Rodrigues
Paulo Varandas
author2_role author
author
dc.contributor.author.fl_str_mv Maria Pires de Carvalho
Fagner B. Rodrigues
Paulo Varandas
dc.subject.por.fl_str_mv Matemática
Mathematics
topic Matemática
Mathematics
description We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincare recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besides, we relate the recurrence to balls with the rates of expansion of the semigroup generators and the topological entropy of the semigroup action. Finally, we establish a partial variational principle and prove an ergodic optimization for this kind of dynamical action.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
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 https://hdl.handle.net/10216/109911
url https://hdl.handle.net/10216/109911
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0951-7715
10.1088/1361-6544/aa999f
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.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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