On a family of Schreier graphs of intermediate growth associated with a self-similar group

Ievgen Bondarenko, Tullio Ceccherini-Silberstein, Alfredo Donno +1

For every infinite sequence $\omega =x_1,x_2,...$, with $x_i\in \{0,1\}$, we construct an infinite 4-regular graph $X_{\omega }$. These graphs are precisely the Schreier graphs of the action of a…