arXiv:2211.12430 Abstract | arXiv Analytics

arXiv:2211.12430 [math.DS]Abstract References Reviews Resources

Critical locus for Hénon maps in an HOV region

Tanya Firsova, Remus Radu, Raluca Tanase

Published 2022-11-22Version 1

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.

Comments: 49 pages, incl. references; 17 figures

Categories: math.DS, math.CV

Subjects: 37F80, 32H50, 32A60, 37C86

Keywords: critical locus, hénon maps, hov region, complex henon maps, complex horseshoe locus

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