Local connectivity of Julia sets of some rational maps with Siegel disks
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912358871334912 |
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| author | Wang, Shuyi Yang, Fei Zhang, Gaofei Zhang, Yanhua |
| author_facet | Wang, Shuyi Yang, Fei Zhang, Gaofei Zhang, Yanhua |
| contents | We prove that a long iteration of rational maps is expanding near boundaries of bounded type Siegel disks. This leads us to extend Petersen's local connectivity result on the Julia sets of quadratic Siegel polynomials to a general case. A new key feature in the proof is that the puzzles are not used. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_07450 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Local connectivity of Julia sets of some rational maps with Siegel disks Wang, Shuyi Yang, Fei Zhang, Gaofei Zhang, Yanhua Dynamical Systems Complex Variables We prove that a long iteration of rational maps is expanding near boundaries of bounded type Siegel disks. This leads us to extend Petersen's local connectivity result on the Julia sets of quadratic Siegel polynomials to a general case. A new key feature in the proof is that the puzzles are not used. |
| title | Local connectivity of Julia sets of some rational maps with Siegel disks |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2106.07450 |