Disjoint strong transitivity of composition operators

Noureddine Karim, Otmane Benchiheb, Mohamed Amouch

A Furstenberg family $\mathcal{F}$ is a collection of infinite subsets of the set of positive integers such that if $A\subset B$ and $A\in \mathcal{F}$, then $B\in \mathcal{F}$. Fo…