Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps
arXiv:2209.05237
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.