Ends of Schreier graphs and cut-points of limit spaces of self-similar groups

Ievgen Bondarenko, Daniele D'Angeli, Tatiana Nagnibeda

Every self-similar group acts on the space $X^{\omega }$ of infinite words over some alphabet $X$. We study the Schreier graphs ${\Gamma }_w$ for $w\in X^{\omega }$ of the action of self-similar groups ge…