10 citations · 18 across the 6 of their papers we have counts for
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math.GR2018★ 2 cited
The domino problem is undecidable on surface groups
Nathalie Aubrun, Sebastián Barbieri, Etienne Moutot
We show that the domino problem is undecidable on orbit graphs of non-deterministic substitutions which satisfy a technical property. As an application, we prove that the domino pr…
math.DS2018
Nivat's Conjecture and Pattern Complexity in Algebraic Subshifts
Jarkko Kari, Etienne Moutot
We study Nivat's conjecture on algebraic subshifts and prove that in some of them every low complexity configuration is periodic. This is the case in the Ledrappier subshift (the 3…
cs.DM2018★ 2 cited
Slopes of 3-dimensional Subshifts of Finite Type
Etienne Moutot, Pascal Vanier
In this paper we study the directions of periodicity of three-dimensional subshifts of finite type (SFTs) and in particular their slopes. A configuration of a subshift has a slope…