EIGENVALUES of FIBONACCI STOCHASTIC ADDING MACHINE
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Data
2010-06-01
Autores
Messaoudi, Ali [UNESP]
Smania, D.
Título da Revista
ISSN da Revista
Título de Volume
Editor
World Scientific Publ Co Pte Ltd
Resumo
In this work, we compute the eigenvalues of the transition operator associated to the Fibonacci stochastic adding machine. In particular, we show that the eigenvalues are connected to the set kappa of complex numbers z where (z(2), z) belongs to the filled Julia set of a particular endomorphism of C(2). We also study some topological properties of the set kappa.
Descrição
Palavras-chave
Stochastic adding machine, Fibonacci sequence, Transition operator, Julia set
Como citar
Stochastics and Dynamics. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 2, p. 291-313, 2010.