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20052023
most citedSimulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type

85 citations · 199 across the 28 of their papers we have counts for

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math.DS2022

Parametrization by Horizontal Constraints in the Study of Algorithmic Properties of -Subshift of Finite Type

Solène J. Esnay, Mathieu Sablik

The non-emptiness, called the Domino Problem, and the characterization of the possible entropies of -subshifts of finite type are standard problems of symbolic dynami…

math.DS2019

On the computability properties of topological entropy: a general approach

Silvere Gangloff, Alonso Herrera, Cristobal Rojas +1

The dynamics of symbolic systems, such as multidimensional subshifts of finite type or cellular automata, are known to be closely related to computability theory. In particular, th…

math.DS2018★ 1 cited

Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type

Silvère Gangloff, Mathieu Sablik

In this text, we prove then that any minimal effective dynamical system on a Cantor set can be simulated by a minimal -SFT, in a sense that…

math.DS2017

A characterization of entropy dimensions of minimal tridimensional subshifts of finite type

Silvère Gangloff, Mathieu Sablik

We prove in this text a characterization of the possible entropy dimensions of minimal tridimensional subshifts of finite type with a computability condition, using Goldbach's theo…

math.DS2017★ 5 cited

Quantified block gluing, aperiodicity and entropy of multidimensional SFT

Silvère Gangloff, Mathieu Sablik

It is possible to define mixing properties for subshifts according to the intensity which allows to concatenate two rectangular blocks. We study the interplay between this intensit…

math.DS2016★ 12 cited

A generalization of the simulation theorem for semidirect products

Sebastián Barbieri, Mathieu Sablik

We generalize a result of Hochman in two simultaneous directions: Instead of realizing an effectively closed action as a factor of a subaction of a $\mathbb{Z}^{d+2}…