3 papers
math.DS2026
Periodic points and residual finiteness of automorphism groups of subshifts
Ville Salo
If totally periodic points are dense in a subshift , its automorphism group is residually finite. We show a weak converse: if periodic points are not dense in a subshift , th…
math.DS2025
Avoshifts, Unishifts and Nondeterministic Cellular Automata
Ville Salo
In this paper, we study avoshifts and unishifts on . Avoshifts are subshifts where for each convex set , and each vector such that is also…
math.CO2024
Solitaire of Independence
Ville Salo, Juliette Schabanel
In this paper, we study a reversible process (more precisely, a groupoid/group action) resembling the classical 15-puzzle, where the legal moves are to ``move the unique hole insid…