4 papers · 1 filter
A geometric obstruction to self-simulation for groups
Sebastián Barbieri, Kanéda Blot, Mathieu Sablik +1
We introduce a new quasi-isometry invariant for finitely generated groups and show that every group with this property admits a subshift which is effectively closed by patterns and…
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…
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…
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…