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math.DS2023
Escaping Fatou components with disjoint hyperbolic limit sets
Veronica Beltrami, Anna Miriam Benini, Alberto Saracco
We construct automorphisms of with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component…
math.DS2020
Invariant escaping Fatou components with two rank 1 limit functions for automorphisms of
Anna Miriam Benini, Alberto Saracco, Michela Zedda
We construct automorphisms of , and more precisely transcendental Hénon maps, with an invariant escaping Fatou component which has exactly two distinct limit function…