STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Picardie Jules Verne
dc.date.accessioned2015-03-18T15:56:24Z
dc.date.available2015-03-18T15:56:24Z
dc.date.created2015-03-18T15:56:24Z
dc.date.issued2014-12-01
dc.identifierDiscrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 34, n. 12, p. 5247-5269, 2014.
dc.identifier1078-0947
dc.identifierhttp://hdl.handle.net/11449/117542
dc.identifier10.3934/dcds.2014.34.5247
dc.identifierWOS:000338187000012
dc.identifier2111365241513122
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.
dc.languageeng
dc.publisherAmer Inst Mathematical Sciences
dc.relationDiscrete And Continuous Dynamical Systems
dc.relation0.976
dc.relation1,592
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectJulia sets
dc.subjectstochastic adding machines
dc.subjectrecurrent sequence
dc.subjectMarkov chains
dc.subjectspectrum of transition operator
dc.titleSTOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS
dc.typeArtículos de revistas


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