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Slowly recurrent Collet-Eckmann maps on the Riemann sphere
- Publication Year :
- 2021
-
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 $2$.<br />Comment: 36 pages
- Subjects :
- Mathematics - Dynamical Systems
37F10 (Primary), 37F12, 37F15 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2103.14432
- Document Type :
- Working Paper