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Publicação:
SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS

dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.authorSester, Olivier
dc.contributor.authorValle, Glauco
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Paris Est Marne la Vallee
dc.contributor.institutionUniversidade Federal do Rio de Janeiro (UFRJ)
dc.date.accessioned2014-12-03T13:07:09Z
dc.date.available2014-12-03T13:07:09Z
dc.date.issued2013-09-01
dc.description.abstractConsider the basic algorithm to perform the transformation n bar right arrow n + 1 changing digits of the d-adic expansion of n one by one. We obtain a family of Markov chains on the non-negative integers through successive and independent applications of the algorithm modified by a parametrized stochastic rule that randomly prevents one of the steps in the algorithm to finish. The objects of study in this paper are the spectra of the transition operators of these Markov chains. The spectra of these Markov chains turn out to be fibered Julia sets of fibered polynomials. This enables us to analyze their topological and analytical properties with respect to the underlying parameters of the Markov chains.en
dc.description.affiliationUNESP, Dept Matemat, Inst Biociencias Letras & Ciencias, Exatas De Sao Jose Do Ri, Brazil
dc.description.affiliationUniv Paris Est Marne la Vallee, CNRS, UMR 8050, LAMA, Paris, France
dc.description.affiliationUniv Fed Rio de Janeiro, Dept Metodos Estat, Inst Matemat, BR-21945970 Rio de Janeiro, Brazil
dc.description.affiliationUnespUNESP, Dept Matemat, Inst Biociencias Letras & Ciencias, Exatas De Sao Jose Do Ri, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCNPq: 305939/2009-2
dc.description.sponsorshipIdCNPq: 307038/2009-2
dc.description.sponsorshipIdFAPESP: 11/23199-1
dc.description.sponsorshipIdFAPESP: 07/06896-5
dc.format.extent26
dc.identifierhttp://dx.doi.org/10.1142/S0219493712500219
dc.identifier.citationStochastics And Dynamics. Singapore: World Scientific Publ Co Pte Ltd, v. 13, n. 3, 26 p., 2013.
dc.identifier.doi10.1142/S0219493712500219
dc.identifier.issn0219-4937
dc.identifier.lattes2111365241513122
dc.identifier.urihttp://hdl.handle.net/11449/111300
dc.identifier.wosWOS:000319744000001
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofStochastics and Dynamics
dc.relation.ispartofjcr0.486
dc.relation.ispartofsjr0,506
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectJulia seten
dc.subjectStochastic adding machineen
dc.subjectMarkov chainsen
dc.subjectspectrum of transition operatoren
dc.titleSPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETSen
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.author.lattes2111365241513122[1]
unesp.author.orcid0000-0002-3823-8220[3]
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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