Rational maps with constant Thurston pullback mapping
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912468424458240 |
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| author | Cui, Guizhen Wang, Yiran |
| author_facet | Cui, Guizhen Wang, Yiran |
| contents | In this paper, we study CTP maps, that is, marked rational maps with constant Thurston pullback mapping. We prove that all the regular or mixing CTP polynomials satisfy McMullen's condition. Additionally, we construct a new class of examples of CTP maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04215 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational maps with constant Thurston pullback mapping Cui, Guizhen Wang, Yiran Dynamical Systems 37F20, 37F34 In this paper, we study CTP maps, that is, marked rational maps with constant Thurston pullback mapping. We prove that all the regular or mixing CTP polynomials satisfy McMullen's condition. Additionally, we construct a new class of examples of CTP maps. |
| title | Rational maps with constant Thurston pullback mapping |
| topic | Dynamical Systems 37F20, 37F34 |
| url | https://arxiv.org/abs/2507.04215 |