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arXiv:2410.04180 [math.DS]AbstractReferencesReviewsResources

Bifurcation for families of Ahlfors island maps

Matthieu Astorg, Anna Miriam Benini, Nuria Fagella

Published 2024-10-05, updated 2025-02-13Version 2

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.

Categories: math.DS, math.CV
Subjects: 37F46, 30D05, 37F10, 30D30, 37F44
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