Most Fatou and Julia components are small for polynomials
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915383318937600 |
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| author | Zeng, Jinsong |
| author_facet | Zeng, Jinsong |
| contents | We prove that Julia components of polynomials are generally small in diameter. For polynomials without irrationally neutral cycles, Fatou components are also typically small, even when the Julia set is not locally connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08471 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Most Fatou and Julia components are small for polynomials Zeng, Jinsong Dynamical Systems We prove that Julia components of polynomials are generally small in diameter. For polynomials without irrationally neutral cycles, Fatou components are also typically small, even when the Julia set is not locally connected. |
| title | Most Fatou and Julia components are small for polynomials |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2507.08471 |