Spectra of generalized stochastic adding machines
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Data
2018-01-01
Autores
Messaoudi, Ali [UNESP]
Valle, Glauco
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Resumo
We 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.
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Cantor systems of numeration, Julia sets, Markov chains, Spectrum of transition operator, Stochastic adding machines
Como citar
Fundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.