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arXiv · 1905.11557

Dynamics of transcendental H\'enon maps-II

Leandro Arosio·Anna Miriam Benini·John Erik Fornæss·Han Peters
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Abstract

Transcendental H\'enon maps are the natural extensions of the well investigated complex polynomial H\'enon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental H\'enon maps always have non-trivial dynamical behavior, namely that they always admit both periodic and escaping orbits, and that their Julia sets are non-empty and perfect.

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Leandro Arosio, Anna Miriam Benini, John Erik Fornæss, Han Peters. 2019-05-28. Dynamics of transcendental H\'enon maps-II. https://arxiv.org/abs/1905.11557

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