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arXiv · 2106.11661

Relation between Hénon maps with biholomorphic escaping sets

Ratna Pal
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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 $\mathbb{C}^2$.

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Ratna Pal. 2023-04-24. Relation between Hénon maps with biholomorphic escaping sets. https://arxiv.org/abs/2106.11661

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