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A variational principle for free semigroup actions

Bibliographic Details
Main Author: Maria Pires de Carvalho
Publication Date: 2018
Other Authors: Fagner Rodrigues, Paulo Varandas
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10216/112422
Summary: 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.
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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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-27T16:52:41Zoai:repositorio-aberto.up.pt:10216/112422Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:55:37.638565Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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