Pisot Substitution Conjecture and Rauzy Fractals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913197273907200 |
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| author | Nakaishi, Kentaro |
| author_facet | Nakaishi, Kentaro |
| contents | We provide a proof for one version of Pisot conjecture. We make use of the weak mixing property of the subshift of finite type derived from the prefix-suffix automaton to conclude that the substitution dynamical system has pure discrete spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07771 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pisot Substitution Conjecture and Rauzy Fractals Nakaishi, Kentaro Dynamical Systems Number Theory 37A44 (Primary) 37A25, 37A30, 11F85, 28A80, 05B45 (Secondary) We provide a proof for one version of Pisot conjecture. We make use of the weak mixing property of the subshift of finite type derived from the prefix-suffix automaton to conclude that the substitution dynamical system has pure discrete spectrum. |
| title | Pisot Substitution Conjecture and Rauzy Fractals |
| topic | Dynamical Systems Number Theory 37A44 (Primary) 37A25, 37A30, 11F85, 28A80, 05B45 (Secondary) |
| url | https://arxiv.org/abs/2401.07771 |