On an uncountable family of graphs whose spectrum is a Cantor set

Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno +1

For each $p\ge 1$, the star automaton group ${\mathcal{G}}_{S_p}$ is an automaton group which can be defined starting from a star graph on $p+1$ vertices. We study Schreier graphs a…