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math.GR2024
Eventually Self-Similar Groups acting on Fractals
Davide Perego, Matteo Tarocchi
Generalizing work by Belk and Forrest, we develop almost expanding hyperedge replacement systems that build fractal topological spaces as quotients of edge shifts under certain ``g…
math.GR2024
Rational Gluing in Edge Replacement Systems
Davide Perego, Matteo Tarocchi
In this paper, we prove the rationality of the gluing relation of edge replacement systems, which were introduced for studying rearrangement groups of fractals. More precisely, we…