Collet-Eckmann maps in the unicritical family

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).

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Bibliographic Details
Published inarXiv.org
Main Authors Aspenberg, Magnus, Bylund, Mats, Cui, Weiwei
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.02.2024
Subjects
Polynomials
Set theory
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Summary: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).
ISSN:2331-8422