Stochastic adding machines based on Bratteli diagrams

Detalhes bibliográficos
Autor(a) principal: Caprio, Danilo A. [UNESP]
Data de Publicação: 2020
Outros Autores: Messaoudi, Ali [UNESP], Valle, Glauco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5802/AIF.3364
http://hdl.handle.net/11449/228964
Resumo: In this paper, we define some Markov chains associated with Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra.
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spelling Stochastic adding machines based on Bratteli diagramsBratteli diagramsFibered Julia setsMarkov chainsSpectrum of transition operatorsStochastic Vershik mapIn this paper, we define some Markov chains associated with Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra.Universidade Estadual Paulista Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas, Rua Cristóvão Colombo, 2265, Jardim NazarethUniversidade Federal do Rio de Janeiro Instituto de Matemática, Caixa Postal 68530Universidade Estadual Paulista Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas, Rua Cristóvão Colombo, 2265, Jardim NazarethUniversidade Estadual Paulista (UNESP)Universidade Federal do Rio de Janeiro (UFRJ)Caprio, Danilo A. [UNESP]Messaoudi, Ali [UNESP]Valle, Glauco2022-04-29T08:29:36Z2022-04-29T08:29:36Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2543-2581http://dx.doi.org/10.5802/AIF.3364Annales de l'Institut Fourier, v. 70, n. 6, p. 2543-2581, 2020.0373-0956http://hdl.handle.net/11449/22896410.5802/AIF.33642-s2.0-85107734711Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAnnales de l'Institut Fourierinfo:eu-repo/semantics/openAccess2022-04-29T08:29:36Zoai:repositorio.unesp.br:11449/228964Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:52:38.709828Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stochastic adding machines based on Bratteli diagrams
title Stochastic adding machines based on Bratteli diagrams
spellingShingle Stochastic adding machines based on Bratteli diagrams
Caprio, Danilo A. [UNESP]
Bratteli diagrams
Fibered Julia sets
Markov chains
Spectrum of transition operators
Stochastic Vershik map
title_short Stochastic adding machines based on Bratteli diagrams
title_full Stochastic adding machines based on Bratteli diagrams
title_fullStr Stochastic adding machines based on Bratteli diagrams
title_full_unstemmed Stochastic adding machines based on Bratteli diagrams
title_sort Stochastic adding machines based on Bratteli diagrams
author Caprio, Danilo A. [UNESP]
author_facet Caprio, Danilo A. [UNESP]
Messaoudi, Ali [UNESP]
Valle, Glauco
author_role author
author2 Messaoudi, Ali [UNESP]
Valle, Glauco
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.author.fl_str_mv Caprio, Danilo A. [UNESP]
Messaoudi, Ali [UNESP]
Valle, Glauco
dc.subject.por.fl_str_mv Bratteli diagrams
Fibered Julia sets
Markov chains
Spectrum of transition operators
Stochastic Vershik map
topic Bratteli diagrams
Fibered Julia sets
Markov chains
Spectrum of transition operators
Stochastic Vershik map
description In this paper, we define some Markov chains associated with Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
2022-04-29T08:29:36Z
2022-04-29T08:29:36Z
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 http://dx.doi.org/10.5802/AIF.3364
Annales de l'Institut Fourier, v. 70, n. 6, p. 2543-2581, 2020.
0373-0956
http://hdl.handle.net/11449/228964
10.5802/AIF.3364
2-s2.0-85107734711
url http://dx.doi.org/10.5802/AIF.3364
http://hdl.handle.net/11449/228964
identifier_str_mv Annales de l'Institut Fourier, v. 70, n. 6, p. 2543-2581, 2020.
0373-0956
10.5802/AIF.3364
2-s2.0-85107734711
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Annales de l'Institut Fourier
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2543-2581
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129561402015744

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