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Invariant measures for substitutions on countable alphabets

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dc.contributor.authorDomingos, Weberty [UNESP]
dc.contributor.authorFerenczi, Sébastien
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.authorValle, Glauco
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionI2M - UMR 7373
dc.contributor.institutionUniversidade Federal do Rio de Janeiro (UFRJ)
dc.date.accessioned2025-04-29T20:02:21Z
dc.date.issued2024-09-01
dc.description.abstractIn this work, we study ergodic and dynamical properties of symbolic dynamical system associated to substitutions on an infinite countable alphabet. Specifically, we consider shift dynamical systems associated to irreducible substitutions which have well-established properties in the case of finite alphabets. Based on dynamical properties of a countable integer matrix related to the substitution, we obtain results on existence and uniqueness of shift invariant measures.en
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista, SP
dc.description.affiliationAix Marseille Université CNRS Centrale Marseille Institut de Mathématiques de Marseille I2M - UMR 7373
dc.description.affiliationInstituto de Matemática Universidade Federal do Rio de Janeiro
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista, SP
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)
dc.description.sponsorshipFP7 International Cooperation
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdCNPq: 2019/10269-3
dc.description.sponsorshipIdFAPERJ: 26/202.636/2019
dc.description.sponsorshipIdCNPq: 307938/2022-0
dc.description.sponsorshipIdCNPq: 310784/2021-2
dc.description.sponsorshipIdFP7 International Cooperation: 88881.310741/2018-01
dc.description.sponsorshipIdCAPES: 88887.310463/2018-00
dc.format.extent2533-2564
dc.identifierhttp://dx.doi.org/10.1017/etds.2023.113
dc.identifier.citationErgodic Theory and Dynamical Systems, v. 44, n. 9, p. 2533-2564, 2024.
dc.identifier.doi10.1017/etds.2023.113
dc.identifier.issn1469-4417
dc.identifier.issn0143-3857
dc.identifier.scopus2-s2.0-85179917431
dc.identifier.urihttps://hdl.handle.net/11449/305186
dc.language.isoeng
dc.relation.ispartofErgodic Theory and Dynamical Systems
dc.sourceScopus
dc.subjectcountable non-negative matrices
dc.subjectshift dynamical systems
dc.subjectsubstitutions on infinite alphabet
dc.subjectunique ergodicity
dc.titleInvariant measures for substitutions on countable alphabetsen
dc.typeArtigopt
dspace.entity.typePublication

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