Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$
Dynamical Systems
2020-06-02 v2
Abstract
We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.
Keywords
Cite
@article{arxiv.1601.06268,
title = {Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$},
author = {Eric Bedford and Lorenzo Guerini and John Smillie},
journal= {arXiv preprint arXiv:1601.06268},
year = {2020}
}