Automorphisms of ${\mathbb{C}}^2$ with parabolic cylinders

Luka Boc Thaler, Filippo Bracci, Han Peters

A {\sl parabolic cylinder} is an invariant, non-recurrent Fatou component $\Omega$ of an automorphism $F$ of ${\mathbb{C}}^2$ satisfying: (1) The closure of the $\omega$-limit set of $F$ on $\Omega$…