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STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

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dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.authorUceda, Rafael Asmat
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Picardie Jules Verne
dc.date.accessioned2015-03-18T15:56:24Z
dc.date.available2015-03-18T15:56:24Z
dc.date.issued2014-12-01
dc.description.abstractIn this work we define a stochastic adding machine associated to a quadratic base (F-n) (n >= 0) formed by recurrent sequences of order 2. We obtain a Markov chain with states in Z(+) and we prove that the spectrum of the transition operator associated to this Markov chain is connected to the filled Julia sets for a class of endomorphisms in C-2 of which we study topological properties.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias, Sao Paulo, Brazil
dc.description.affiliationUniv Picardie Jules Verne, Lab Amienois Math Fondamentales & Appl, CNRS, UMR 7352, Amiens, France
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias, Sao Paulo, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipProjet Region Picardie GDIFS
dc.description.sponsorshipIdCNPq: 305939/2009-2
dc.description.sponsorshipIdCAPES: 661/10
dc.description.sponsorshipIdFAPESP: 07/08454-0
dc.format.extent5247-5269
dc.identifierhttp://dx.doi.org/10.3934/dcds.2014.34.5247
dc.identifier.citationDiscrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 34, n. 12, p. 5247-5269, 2014.
dc.identifier.doi10.3934/dcds.2014.34.5247
dc.identifier.issn1078-0947
dc.identifier.lattes2111365241513122
dc.identifier.urihttp://hdl.handle.net/11449/117542
dc.identifier.wosWOS:000338187000012
dc.language.isoeng
dc.publisherAmer Inst Mathematical Sciences
dc.relation.ispartofDiscrete And Continuous Dynamical Systems
dc.relation.ispartofjcr0.976
dc.relation.ispartofsjr1,592
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectJulia setsen
dc.subjectstochastic adding machinesen
dc.subjectrecurrent sequenceen
dc.subjectMarkov chainsen
dc.subjectspectrum of transition operatoren
dc.titleSTOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETSen
dc.typeArtigo
dcterms.rightsHolderAmer Inst Mathematical Sciences
dspace.entity.typePublication
unesp.author.lattes2111365241513122[1]
unesp.author.orcid0000-0003-1703-9414[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas