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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
A general framework for quasi-isometries in symbolic dynamics beyond groups
Sebastián Barbieri, Nicolás Bitar
We introduce an algebraic structure which encodes a collection of countable graphs through a set of states, generators and relations. These structures, which we call blueprints, ca…
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…