31 citations · 195 across the 31 of their papers we have counts for
10 papers · 1 filter
Soficity of free extensions of effective subshifts
Sebastián Barbieri, Mathieu Sablik, Ville Salo
Let be a group and a subgroup. The free extension of an -subshift to is the -subshift whose configurations are those for which the…
Indistinguishable asymptotic pairs and multidimensional Sturmian configurations
Sebastián Barbieri, Sébastien Labbé
Two asymptotic configurations on a full -shift are indistinguishable if for every finite pattern the associated sets of occurrences in each configuration coincide up…
Aperiodic subshifts of finite type on groups which are not finitely generated
Sebastián Barbieri
We provide an example of a non-finitely generated group which admits a nonempty strongly aperiodic SFT. Furthermore, we completely characterize the groups with this property in ter…
The Lanford-Ruelle theorem for actions of sofic groups
Sebastián Barbieri, Tom Meyerovitch
Let be a sofic group, be a sofic approximation sequence of and be a -subshift with nonnegative sofic topological entropy with respect to . Further assume that…
Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group
Sebastián Barbieri, Felipe García-Ramos, Hanfeng Li
We provide a unifying approach which links results on algebraic actions by Lind and Schmidt, Chung and Li, and a topological result by Meyerovitch that relates entropy to the set o…
On the entropies of subshifts of finite type on countable amenable groups
Sebastián Barbieri
Let be two countable amenable groups. We introduce the notion of group charts, which gives us a tool to embed an arbitrary -subshift into a -subshift. Using an entropy…