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arXiv · 2410.04180

Bifurcation for families of Ahlfors island maps

Matthieu Astorg·Anna Miriam Benini·Nuria Fagella
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Abstract

We extend Ma\~n\'e-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.

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Matthieu Astorg, Anna Miriam Benini, Nuria Fagella. 2024-10-05. Bifurcation for families of Ahlfors island maps. https://arxiv.org/abs/2410.04180

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