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| Format: | Preprint |
| Published: |
2006
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0609280 |
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| _version_ | 1866907756120768512 |
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| author | Kawahira, Tomoki |
| author_facet | Kawahira, Tomoki |
| contents | We introduce tessellation of the filled Julia sets for hyperbolic and parabolic quadratic maps. Then the dynamics inside their Julia sets are organized by tiles which work like external rays outside. We also construct continuous families of pinching semiconjugacies associated with hyperblic-to-parabolic degenerations without using quasiconformal deformation. Instead we use tessellation and investigation on the hyperbolic-to-parabolic degeneration of linearizing coordinates inside the Julia sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0609280 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | Tessellation and Lyubich-Minsky laminations associated with quadratic maps, I: Pinching semiconjugacies Kawahira, Tomoki Dynamical Systems 37F45 We introduce tessellation of the filled Julia sets for hyperbolic and parabolic quadratic maps. Then the dynamics inside their Julia sets are organized by tiles which work like external rays outside. We also construct continuous families of pinching semiconjugacies associated with hyperblic-to-parabolic degenerations without using quasiconformal deformation. Instead we use tessellation and investigation on the hyperbolic-to-parabolic degeneration of linearizing coordinates inside the Julia sets. |
| title | Tessellation and Lyubich-Minsky laminations associated with quadratic maps, I: Pinching semiconjugacies |
| topic | Dynamical Systems 37F45 |
| url | https://arxiv.org/abs/math/0609280 |