STOCHASTIC ADDING MACHINES BASED ON BRATTELI DIAGRAMS
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Data
2020-01-01
Autores
Caprio, Danilo A. [UNESP]
Messaoudi, Ali [UNESP]
Valle, Glauco
Título da Revista
ISSN da Revista
Título de Volume
Editor
Annales Inst Fourier
Resumo
In this paper, we define some Markov chains associated with Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra.
Descrição
Palavras-chave
Markov chains, stochastic Vershik map, Bratteli diagrams, spectrum of transition operators, fibered Julia sets
Como citar
Annales De L Institut Fourier. St Martin D Heres Cedex: Annales Inst Fourier, v. 70, n. 6, p. 2543-2581, 2020.