Invariant escaping Fatou components with two rank 1 limit functions for automorphisms of ${\mathbb{C}}^2$

Anna Miriam Benini, Alberto Saracco, Michela Zedda

We construct automorphisms of ${\mathbb{C}}^2$, and more precisely transcendental Hénon maps, with an invariant escaping Fatou component which has exactly two distinct limit function…