Slowly recurrent Collet-Eckmann maps on the Riemann sphere
arXiv:2103.14432
Abstract
In this paper we study perturbations of rational Collet-Eckmann maps for which the Julia set is the whole sphere, and for which the critical set is allowed to be slowly recurrent. We show that any such map is a Lebesgue density point of Collet-Eckmann maps in the space of rational maps of the same degree at least .
36 pages