Messaoudi, Ali [UNESP]Uceda, Rafael Asmat2015-03-182015-03-182014-12-01Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 34, n. 12, p. 5247-5269, 2014.1078-0947http://hdl.handle.net/11449/117542In 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.5247-5269engJulia setsstochastic adding machinesrecurrent sequenceMarkov chainsspectrum of transition operatorArtigo10.3934/dcds.2014.34.5247WOS:000338187000012Acesso restrito2111365241513122