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arXiv · 2501.19326

On the minimal components of substitution subshifts

Raphaël Henry
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Abstract

In this paper we study substitutions on $A^\mathbb{Z}$ where $A$ is a finite alphabet. We precisely characterize the minimal components of substitution subshifts, give an optimal bound for their number and describe their dynamics. The explicitness of these results provides a method to algorithmically compute and count the minimal components of a given substitution subshift.

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Raphaël Henry. 2025-01-31. On the minimal components of substitution subshifts. https://doi.org/10.1016/j.tcs.2025.115517

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