Slowly recurrent Collet-Eckmann maps on the Riemann sphere
Dynamical Systems
2022-01-19 v2
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 .
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Cite
@article{arxiv.2103.14432,
title = {Slowly recurrent Collet-Eckmann maps on the Riemann sphere},
author = {Magnus Aspenberg},
journal= {arXiv preprint arXiv:2103.14432},
year = {2022}
}
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36 pages