arXiv Analytics

Sign in

arXiv:2103.14432 [math.DS]AbstractReferencesReviewsResources

Slowly recurrent Collet-Eckmann maps on the Riemann sphere

Magnus Aspenberg

Published 2021-03-26Version 1

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 $2$.

Comments: 36 pages
Categories: math.DS
Subjects: 37F10, 37F12, 37F15
Related articles: Most relevant | Search more
arXiv:1909.05559 [math.DS] (Published 2019-09-12)
Critical intermittency in rational maps
arXiv:0707.2444 [math.DS] (Published 2007-07-17, updated 2009-06-26)
The equilibrium states for semigroups of rational maps
arXiv:2411.08006 [math.DS] (Published 2024-11-12)
On the FOD/FOM parameter of rational maps

Links

Toolbox