Spectra of generalized stochastic adding machines

Detalhes bibliográficos
Autor(a) principal: Messaoudi, Ali [UNESP]
Data de Publicação: 2018
Outros Autores: Valle, Glauco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.4064/fm361-2-2017
http://hdl.handle.net/11449/176042
Resumo: We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c0, c and lα, 1 ≤ α ≤ 1.
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spelling Spectra of generalized stochastic adding machinesCantor systems of numerationJulia setsMarkov chainsSpectrum of transition operatorStochastic adding machinesWe define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c0, c and lα, 1 ≤ α ≤ 1.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, Jardim NazarethInstituto de Matemática Universidade Federal do Rio de Janeiro, Caixa Postal 68530Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, Jardim NazarethCNPq: 304593/2012-5Universidade Estadual Paulista (Unesp)Universidade Federal do Rio de Janeiro (UFRJ)Messaoudi, Ali [UNESP]Valle, Glauco2018-12-11T17:18:40Z2018-12-11T17:18:40Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article17-43http://dx.doi.org/10.4064/fm361-2-2017Fundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.0016-2736http://hdl.handle.net/11449/17604210.4064/fm361-2-20172-s2.0-85044229090Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFundamenta Mathematicae0,718info:eu-repo/semantics/openAccess2021-10-23T17:36:58Zoai:repositorio.unesp.br:11449/176042Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:19:38.619522Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Spectra of generalized stochastic adding machines
title Spectra of generalized stochastic adding machines
spellingShingle Spectra of generalized stochastic adding machines
Messaoudi, Ali [UNESP]
Cantor systems of numeration
Julia sets
Markov chains
Spectrum of transition operator
Stochastic adding machines
title_short Spectra of generalized stochastic adding machines
title_full Spectra of generalized stochastic adding machines
title_fullStr Spectra of generalized stochastic adding machines
title_full_unstemmed Spectra of generalized stochastic adding machines
title_sort Spectra of generalized stochastic adding machines
author Messaoudi, Ali [UNESP]
author_facet Messaoudi, Ali [UNESP]
Valle, Glauco
author_role author
author2 Valle, Glauco
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.author.fl_str_mv Messaoudi, Ali [UNESP]
Valle, Glauco
dc.subject.por.fl_str_mv Cantor systems of numeration
Julia sets
Markov chains
Spectrum of transition operator
Stochastic adding machines
topic Cantor systems of numeration
Julia sets
Markov chains
Spectrum of transition operator
Stochastic adding machines
description We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c0, c and lα, 1 ≤ α ≤ 1.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:18:40Z
2018-12-11T17:18:40Z
2018-01-01
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/10.4064/fm361-2-2017
Fundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.
0016-2736
http://hdl.handle.net/11449/176042
10.4064/fm361-2-2017
2-s2.0-85044229090
url http://dx.doi.org/10.4064/fm361-2-2017
http://hdl.handle.net/11449/176042
identifier_str_mv Fundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.
0016-2736
10.4064/fm361-2-2017
2-s2.0-85044229090
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fundamenta Mathematicae
0,718
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 17-43
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_ 1808128920289017856

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