CLT for random walks of commuting endomorphisms on compact abelian groups

Jean-Pierre Conze, Guy Cohen

Let $\Cal S$ be an abelian group of automorphisms of a probability space $(X, {\Cal A}, μ)$ with a finite system of generators $(A_1,...,A_d)$. Let $A^{\el}$ denote $A_1^{\ell_1}…