Abstract
The aim of this work is to study dynamical, topological and spectral properties for a class of operators associated to the stochastic adding machine. This study involves the following topics (among others): Stochastic adding machine, Vershik adic maps, Stochastic process and Markov chains, Dynamic of endomorphism of C^n, for n greater than 1, Julia sets in C^2 (and in R^2), Dynamic of lin…