Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps
Dynamical Systems
2022-09-13 v1
Abstract
In this short note we observe that within the family of slowly recurrent rational maps on the Riemann sphere, the Collet-Eckmann, second Collet-Eckmann, and topological Collet-Eckmann conditions are equivalent and also invariant under topological conjugacy.
Keywords
Cite
@article{arxiv.2209.05237,
title = {Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps},
author = {Mats Bylund},
journal= {arXiv preprint arXiv:2209.05237},
year = {2022}
}