2 papers
math.GR2024
The Limit Space of Self-similar Groups and Schreier graphs
Bozorgmehr Vaziri, Farhad Rahmati
The present paper investigates the limit -space generated by the self-similar action of automatic groups on a regular rooted tree. The limit space $\mathcal{J}…
math.GR2023
A Contracting Fractal Group, Schreier Graphs and The Spectra
Bozorgmehr Vaziri, Frahad Rahmati
This paper explores a previously uncharted automaton group generated by a 5-state automaton acts by self-similarity on the regular rooted tree over a 2-letter alph…