Relation between Hénon maps with biholomorphic escaping sets

Abstract

Let $H$ and $F$ be two Hénon maps with biholomorphically equivalent escaping sets, then there exist affine automorphisms $A_1$ and $A_2$ in ${\mathbb{C}}^2$ such that \[ F=A_1\circ H \circ A_2 \] in ${\mathbb{C}}^2$.

Major revision, to appear in Mathematische Annalen

Cited by in corpus (1)

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