Stochastic adding machines based on Bratteli diagrams

2017/12/27 by Caprio, Danilo Antonio, Messaoudi, Ali, Valle, Glauco · 3 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.09476

Abstract

In this paper, we define some Markov Chains associated to 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.

Cited by

• Backward Julia sets for a class of p-adic Hénon like maps
• Operators of stochastic adding machines and Julia sets
• On a bi-lateral Adding Machine and its characterization

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