3 papers
math.DS2026
Parabolic implosion in dimension 2
Matthieu Astorg, Lorena López-Hernanz, Jasmin Raissy
In this paper, we extend the theory of parabolic implosion in complex dimension 2 to the case of holomorphic maps tangent to the identity at order 2. We investigate the bifurcation…
math.DS2026
Non-autonomous parabolic implosion
Matthieu Astorg, Fabrizio Bianchi
We study parabolic implosion in a general non-autonomous setting. Let be a holomorphic germ tangent to the identity. We consider the iteration of non-autonomous…
math.DS2025
Bifurcation for families of Ahlfors island maps
Matthieu Astorg, Anna Miriam Benini, Nuria Fagella
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 consequ…