On quasiconformal non-equivalence of gasket Julia sets and limit sets
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912642874998784 |
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| author | Luo, Yusheng Zhang, Yongquan |
| author_facet | Luo, Yusheng Zhang, Yongquan |
| contents | This paper studies quasiconformal non-equivalence of Julia sets and limit sets. We proved that any Julia set is quasiconformally different from the Apollonian gasket. We also proved that any Julia set of a quadratic rational map is quasiconformally different from the gasket limit set of a geometrically finite Kleinian group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On quasiconformal non-equivalence of gasket Julia sets and limit sets Luo, Yusheng Zhang, Yongquan Dynamical Systems Complex Variables Geometric Topology This paper studies quasiconformal non-equivalence of Julia sets and limit sets. We proved that any Julia set is quasiconformally different from the Apollonian gasket. We also proved that any Julia set of a quadratic rational map is quasiconformally different from the gasket limit set of a geometrically finite Kleinian group. |
| title | On quasiconformal non-equivalence of gasket Julia sets and limit sets |
| topic | Dynamical Systems Complex Variables Geometric Topology |
| url | https://arxiv.org/abs/2402.12709 |