Perturbations of rational Misiurewicz maps
Dynamical Systems
2009-06-23 v2
Abstract
In this paper we investigate the perturbation properties of rational Misiurewicz maps, when the Julia set is the whole sphere (the other case is treated in [1]). In particular, we show that if f is a Misiurewicz map and not a flexible Lattes map, then we can find a hyperbolic map arbitrarily close to f.
Keywords
Cite
@article{arxiv.0804.1106,
title = {Perturbations of rational Misiurewicz maps},
author = {Magnus Aspenberg},
journal= {arXiv preprint arXiv:0804.1106},
year = {2009}
}