Stochastic adding machines based on Bratteli diagrams
Dynamical Systems
2019-05-20 v2
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.
Keywords
Cite
@article{arxiv.1712.09476,
title = {Stochastic adding machines based on Bratteli diagrams},
author = {Danilo Antonio Caprio and Ali Messaoudi and Glauco Valle},
journal= {arXiv preprint arXiv:1712.09476},
year = {2019}
}
Comments
34 pages, 19 figures