77 citations
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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…
cs.DM2018★ 1 cited
Aperiodic points in -subshifts
Anael Grandjean, Benjamin Hellouin de Menibus, Pascal Vanier
We consider the structure of aperiodic points in -subshifts, and in particular the positions at which they fail to be periodic. We prove that if a -subshi…