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Bifurcation for families of Ahlfors island maps

Published 5 Oct 2024 in math.DS and math.CV | (2410.04180v2)

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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