3 papers
math.CO2025
Limit spaces of vertex and edge replacement systems
Davide Perego, Matteo Tarocchi
We introduce and study VERSs (vertex and edge replacement systems) as a technology of graph expansions. We consider its history graph, an augmented tree that records each graph exp…
math.GR2025
Orderable Thompson-like groups arising from Ore categories
Davide Perego, Matteo Tarocchi
We give sufficient conditions for left- and bi-orderability of fundamental groups of Ore categories in terms of indirect factors, including Thompson groups and many of their genera…
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…