Discretized Rotation with fixed initial points
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911513522995200 |
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| author | Akiyama, Shigeki Mance, Bill |
| author_facet | Akiyama, Shigeki Mance, Bill |
| contents | We prove that if $\max\{|a_0|,|a_1|\}\le 10$ and $λ\in\ ]-2,2[$, then the sequence defined by $$ 0 \le a_{n+2} +λa_{n+1}+a_n<1 $$ is periodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12654 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discretized Rotation with fixed initial points Akiyama, Shigeki Mance, Bill Number Theory Dynamical Systems 11B83, 37E99 We prove that if $\max\{|a_0|,|a_1|\}\le 10$ and $λ\in\ ]-2,2[$, then the sequence defined by $$ 0 \le a_{n+2} +λa_{n+1}+a_n<1 $$ is periodic. |
| title | Discretized Rotation with fixed initial points |
| topic | Number Theory Dynamical Systems 11B83, 37E99 |
| url | https://arxiv.org/abs/2507.12654 |