STOCHASTIC ADDING MACHINE AND 2-DIMENSIONAL JULIA SETS
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Amer Inst Mathematical Sciences
American Institute of Mathematical Sciences (AIMS)
American Institute of Mathematical Sciences (AIMS)
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In 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.
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Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 34, n. 12, p. 5247-5269, 2014.
