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

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

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-per...

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Hauptverfasser: Firsova, Tanya, Radu, Remus, Tanase, Raluca
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Complex Variables
Mathematics - Dynamical Systems
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Zusammenfassung: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.
DOI:10.48550/arxiv.2211.12430