On the minimal components of substitution subshifts
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866918334906236928 |
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| author | Henry, Raphaël |
| author_facet | Henry, Raphaël |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the minimal components of substitution subshifts Henry, Raphaël Dynamical Systems 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. |
| title | On the minimal components of substitution subshifts |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2501.19326 |