Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917099727749120 |
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| author | Drach, Kostiantyn Fu, Zhi Kaloshin, Vadim Li, Zhiqiang Liverani, Carlangelo |
| author_facet | Drach, Kostiantyn Fu, Zhi Kaloshin, Vadim Li, Zhiqiang Liverani, Carlangelo |
| contents | For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decreases as the period grows. This establishes a version of the Central Limit Theorem for such finite periodic orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps Drach, Kostiantyn Fu, Zhi Kaloshin, Vadim Li, Zhiqiang Liverani, Carlangelo Dynamical Systems Primary: 37D20, 37D35, Secondary: 60F05, 37E10 For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decreases as the period grows. This establishes a version of the Central Limit Theorem for such finite periodic orbits. |
| title | Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps |
| topic | Dynamical Systems Primary: 37D20, 37D35, Secondary: 60F05, 37E10 |
| url | https://arxiv.org/abs/2511.15662 |