Central limit theorem for products of toral automorphisms

Jean-Pierre Conze, Stéphane Le Borgne, Mikaël Roger

Let $({\tau }_n)$ be a sequence of toral automorphisms $τ_n : x \rightarrow A_n x \hbox{mod}\ZZ^d$ with $A_n\in \mathcal{A}$, where $\mathcal{A}$ is a finite set of matrices in $SL(d, \mathbb…