Bifurcation for families of Ahlfors island maps
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916612714528768 |
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| author | Astorg, Matthieu Benini, Anna Miriam Fagella, Nuria |
| author_facet | Astorg, Matthieu Benini, Anna Miriam Fagella, Nuria |
| contents | We extend Mañé-Sad-Sullivan and Lyubich's equivalent characterization of stability to the setting of Ahlfors island maps, which include notably all meromorphic maps. As a consequence we also obtain the density of $J$-stability for finite type maps in the sense of Epstein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bifurcation for families of Ahlfors island maps Astorg, Matthieu Benini, Anna Miriam Fagella, Nuria Dynamical Systems Complex Variables 37F46, 30D05, 37F10, 30D30, 37F44 We extend Mañé-Sad-Sullivan and Lyubich's equivalent characterization of stability to the setting of Ahlfors island maps, which include notably all meromorphic maps. As a consequence we also obtain the density of $J$-stability for finite type maps in the sense of Epstein. |
| title | Bifurcation for families of Ahlfors island maps |
| topic | Dynamical Systems Complex Variables 37F46, 30D05, 37F10, 30D30, 37F44 |
| url | https://arxiv.org/abs/2410.04180 |