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arXiv · 2402.19256

Collet-Eckmann maps in the unicritical family

Magnus Aspenberg·Mats Bylund·Weiwei Cui
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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).

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Magnus Aspenberg, Mats Bylund, Weiwei Cui. 2024-02-29. Collet-Eckmann maps in the unicritical family. https://arxiv.org/abs/2402.19256

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