A variational principle for free semigroup actions

Detalhes bibliográficos
Autor(a) principal: Maria Pires de Carvalho
Data de Publicação: 2018
Outros Autores: Fagner 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/10216/112422
Resumo: In this paper we introduce a notion of measure theoretical entropy for a finitely generated free semigroup action and establish a variational principle when the semigroup is generated by continuous self maps on a compact metric space and has finite topological entropy. In the case of semigroups generated by Ruelle-expanding maps we prove the existence of equilibrium states and describe some of their properties. Of independent interest are the different ways we will present to compute the metric entropy and a characterization of the stationary measures.
id RCAP_736a089a89d335c7f873ffc49a75f865
oai_identifier_str oai:repositorio-aberto.up.pt:10216/112422
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling A variational principle for free semigroup actionsMatemática, MatemáticaMathematics, MathematicsIn this paper we introduce a notion of measure theoretical entropy for a finitely generated free semigroup action and establish a variational principle when the semigroup is generated by continuous self maps on a compact metric space and has finite topological entropy. In the case of semigroups generated by Ruelle-expanding maps we prove the existence of equilibrium states and describe some of their properties. Of independent interest are the different ways we will present to compute the metric entropy and a characterization of the stationary measures.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/112422eng0001-870810.1016/j.aim.2018.06.010Maria Pires de CarvalhoFagner 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:RCAAP2023-11-29T12:43:44Zoai:repositorio-aberto.up.pt:10216/112422Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:25:34.526403Repositório 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 A variational principle for free semigroup actions
title A variational principle for free semigroup actions
spellingShingle A variational principle for free semigroup actions
Maria Pires de Carvalho
Matemática, Matemática
Mathematics, Mathematics
title_short A variational principle for free semigroup actions
title_full A variational principle for free semigroup actions
title_fullStr A variational principle for free semigroup actions
title_full_unstemmed A variational principle for free semigroup actions
title_sort A variational principle for free semigroup actions
author Maria Pires de Carvalho
author_facet Maria Pires de Carvalho
Fagner Rodrigues
Paulo Varandas
author_role author
author2 Fagner Rodrigues
Paulo Varandas
author2_role author
author
dc.contributor.author.fl_str_mv Maria Pires de Carvalho
Fagner Rodrigues
Paulo Varandas
dc.subject.por.fl_str_mv Matemática, Matemática
Mathematics, Mathematics
topic Matemática, Matemática
Mathematics, Mathematics
description In this paper we introduce a notion of measure theoretical entropy for a finitely generated free semigroup action and establish a variational principle when the semigroup is generated by continuous self maps on a compact metric space and has finite topological entropy. In the case of semigroups generated by Ruelle-expanding maps we prove the existence of equilibrium states and describe some of their properties. Of independent interest are the different ways we will present to compute the metric entropy and a characterization of the stationary measures.
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/10216/112422
url https://hdl.handle.net/10216/112422
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0001-8708
10.1016/j.aim.2018.06.010
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
repository.mail.fl_str_mv
_version_ 1799135561108160513

Registros relacionados