Complex a priori bounds for multicritical circle maps with bounded type rotation number
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866912590228094976 |
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| author | Estevez, Gabriela Smania, Daniel Yampolsky, Michael |
| author_facet | Estevez, Gabriela Smania, Daniel Yampolsky, Michael |
| contents | In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an application, we get that bi-cubic circle maps with same bounded type rotation number are $C^{1+α}$ rigid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_02377 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Complex a priori bounds for multicritical circle maps with bounded type rotation number Estevez, Gabriela Smania, Daniel Yampolsky, Michael Dynamical Systems 37E10, 37E20, 37F25 In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an application, we get that bi-cubic circle maps with same bounded type rotation number are $C^{1+α}$ rigid. |
| title | Complex a priori bounds for multicritical circle maps with bounded type rotation number |
| topic | Dynamical Systems 37E10, 37E20, 37F25 |
| url | https://arxiv.org/abs/2005.02377 |