Speedups of linearly recurrent subshifts
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917317360746496 |
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| author | Bruin, Henk |
| author_facet | Bruin, Henk |
| contents | A speedup, like a time change in discrete time dynamics, is a way of moving faster through the orbits of a dynamical system. Linearly recurrence is a stronger form of minimality for subshifts, shared by e.g.\ all primitive substitution shifts and Sturmian shifts associated with rotation numbers of bounded type. We prove that the homeomorphic speedup of a linearly recurrent two-sided subshift is again linearly recurrent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13652 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Speedups of linearly recurrent subshifts Bruin, Henk Dynamical Systems 37B10, 37B05 A speedup, like a time change in discrete time dynamics, is a way of moving faster through the orbits of a dynamical system. Linearly recurrence is a stronger form of minimality for subshifts, shared by e.g.\ all primitive substitution shifts and Sturmian shifts associated with rotation numbers of bounded type. We prove that the homeomorphic speedup of a linearly recurrent two-sided subshift is again linearly recurrent. |
| title | Speedups of linearly recurrent subshifts |
| topic | Dynamical Systems 37B10, 37B05 |
| url | https://arxiv.org/abs/2602.13652 |