Almost mixing of all orders and CLT for some ${\mathbb{Z}}^d$-actions on subgroups of $\mathbb{F}\_p^{{\mathbb{Z}}^d}$

Guy Cohen, Jean-Pierre Conze

For N d-actions by algebraic endomorphisms on compact abelian groups, the existence of non-mixing configurations is related to "S-unit type" equations and plays a role in limit the…