Bifurcation for families of Ahlfors island maps

2024/10/05 by Astorg, Matthieu, Benini, Anna Miriam, Fagella, Nuria
#30D05 #30D30 #37F10 #37F44 #37F46 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.04180

Abstract

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.

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