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Relation between Hénon maps with biholomorphic escaping sets

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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

$$\begin{aligned} F=A_1\circ H \circ A_2 \end{aligned}$$

in \({\mathbb {C}}^2\).

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The author would like to thank the referees for making helpful comments.

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Correspondence to Ratna Pal.

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Pal, R. Relation between Hénon maps with biholomorphic escaping sets. Math. Ann. 388, 4355–4382 (2024). https://doi.org/10.1007/s00208-023-02630-w

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