Collet-Eckmann maps in the unicritical family
Dynamical Systems
2025-12-24 v2
Abstract
In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points of the complement of the Mandelbrot set (i.e. the connectedness locus).
Cite
@article{arxiv.2402.19256,
title = {Collet-Eckmann maps in the unicritical family},
author = {Magnus Aspenberg and Mats Bylund and Weiwei Cui},
journal= {arXiv preprint arXiv:2402.19256},
year = {2025}
}