Spectra of generalized stochastic adding machines

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade Federal do Rio de Janeiro (UFRJ)
dc.date.accessioned2018-12-11T17:18:40Z
dc.date.available2018-12-11T17:18:40Z
dc.date.created2018-12-11T17:18:40Z
dc.date.issued2018-01-01
dc.identifierFundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.
dc.identifier0016-2736
dc.identifierhttp://hdl.handle.net/11449/176042
dc.identifier10.4064/fm361-2-2017
dc.identifier2-s2.0-85044229090
dc.description.abstractWe 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.
dc.languageeng
dc.relationFundamenta Mathematicae
dc.relation0,718
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectCantor systems of numeration
dc.subjectJulia sets
dc.subjectMarkov chains
dc.subjectSpectrum of transition operator
dc.subjectStochastic adding machines
dc.titleSpectra of generalized stochastic adding machines
dc.typeArtículos de revistas


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