English

On the minimal components of substitution subshifts

Dynamical Systems 2026-02-16 v3

Abstract

In this paper we study substitutions on AZA^\mathbb{Z} where AA 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.

Keywords

Cite

@article{arxiv.2501.19326,
  title  = {On the minimal components of substitution subshifts},
  author = {Raphaël Henry},
  journal= {arXiv preprint arXiv:2501.19326},
  year   = {2026}
}