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arXiv · 2211.12430

Critical locus for H\'enon maps in an HOV region

Tanya Firsova·Remus Radu·Raluca Tanase
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Abstract

We prove that the characterization of the critical locus for complex H\'enon maps that are small perturbations of quadratic polynomials with disconnected Julia sets given by Firsova holds in a much larger HOV-like region from the complex horseshoe locus. The techniques of this paper are non-perturbative.

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Tanya Firsova, Remus Radu, Raluca Tanase. 2022-11-22. Critical locus for H\'enon maps in an HOV region. https://arxiv.org/abs/2211.12430

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