Spectra of generalized stochastic adding machines
Volume 241 / 2018
Fundamenta Mathematicae 241 (2018), 17-43
MSC: Primary 37A30, 37F50; Secondary 47A10.
DOI: 10.4064/fm361-2-2017
Published online: 11 August 2017
Abstract
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 $c_0$, $c$ and $l^{\alpha }$, $1 \leq \alpha \leq \infty $.
