Rigidity of the escaping set of polynomial automorphisms of ${\mathbb{C}}^2$

Sayani Bera, Kaushal Verma

Let $H$ be a polynomial automorphism of ${\mathbb{C}}^2$ of positive entropy and degree $d\ge 2$. We prove that the escaping set $U^{+}$ (or equivalently, the non-escaping set $K^{+}$),…