3 papers
math.DS2025
A remark on inverse limits of effective subshifts
Sebastián Barbieri, Leo Poirier
We show that, for every finitely generated group with decidable word problem and undecidable domino problem, there exists a sequence of effective subshifts whose inverse limit is n…
math.DS2025
The automorphism group of a strongly irreducible subshift on a group
Sebastián Barbieri, Nicanor Carrasco-Vargas, Paola Rivera-Burgos
We study the automorphism group of a non-trivial strongly irreducible subshift on an arbitrary infinite group and generalize classical results of Ry…
math.DS2024
Cellular automata, percolation and dynamical dichotomies
Sebastián Barbieri, Felipe García-Ramos, Siamak Taati
We establish a connection between percolation on the Cayley graphs of a group and the dynamical diversity of cellular automata on that group. Specifically, we demonstrate that Gilm…