A class of Lattès maps with cellular structures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909933922942976 |
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| author | Li, Zhiqiang Zheng, Hanyun |
| author_facet | Li, Zhiqiang Zheng, Hanyun |
| contents | We show that a class of quasiregular Lattès maps, called orthotopic Lattès maps, are cellular Markov maps. This provides examples of expanding Thurston-type maps that are also uniformly quasiregular, and whose visual metrics are quasisymmetrically equivalent to the Riemannian distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of Lattès maps with cellular structures Li, Zhiqiang Zheng, Hanyun Dynamical Systems Complex Variables Primary: 37F10, Secondary: 30C65, 30L10, 37F15, 37F20, 37F31 We show that a class of quasiregular Lattès maps, called orthotopic Lattès maps, are cellular Markov maps. This provides examples of expanding Thurston-type maps that are also uniformly quasiregular, and whose visual metrics are quasisymmetrically equivalent to the Riemannian distance. |
| title | A class of Lattès maps with cellular structures |
| topic | Dynamical Systems Complex Variables Primary: 37F10, Secondary: 30C65, 30L10, 37F15, 37F20, 37F31 |
| url | https://arxiv.org/abs/2512.00372 |