Rigidity of the escaping set of certain Hénon maps

Sayani Bera

Let $H$ be a Hénon map of the form $H(x,y)=(y,p(y)-ax)$. We prove that the escaping set $U^{+}$ (or equivalently, the non-escaping set $K^{+}$), of $H$ is rigid under the actions of au…