Relation between Hénon maps with biholomorphic escaping sets

2021/06/22 by Ratna Pal, Pal, Ratna
Mathematics · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2106.11661

openalex publication_date 2021/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H and F be two Hénon maps with biholomorphically equivalent escaping sets, then there exist affine automorphisms A₁ and A₂ in ℂ² such that F=A₁∘ H ∘ A₂ in ℂ².

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