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arXiv · 1511.03256

A new proof of a theorem of Hubbard-Oberste-Vorth

Remus Radu·Raluca Tanase
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Abstract

We give a new proof of a theorem of Hubbard-Oberste-Vorth [HOV2] for Hénon maps that are perturbations of a hyperbolic polynomial and recover the Julia set $J^{+}$ inside a polydisk as the image of the fixed point of a contracting operator. We also give different characterizations of the Julia sets $J$ and $J^{+}$ which prove useful for later applications.

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Remus Radu, Raluca Tanase. 2015-11-10. A new proof of a theorem of Hubbard-Oberste-Vorth. https://arxiv.org/abs/1511.03256

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