Critical locus for H\'enon maps in an HOV region
Dynamical Systems
2022-11-23 v1 Complex Variables
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.
Cite
@article{arxiv.2211.12430,
title = {Critical locus for H\'enon maps in an HOV region},
author = {Tanya Firsova and Remus Radu and Raluca Tanase},
journal= {arXiv preprint arXiv:2211.12430},
year = {2022}
}
Comments
49 pages, incl. references; 17 figures