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arXiv · 1712.03102

On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c

Ludwik Jaksztas·Michel Zinsmeister
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Abstract

Let $d(c)$ denote the Hausdorff dimension of the Julia set $J_c$ of the polynomial $f_c(z)=z^2+c$. We will investigate behavior of the function $d(c)$ when real parameter $c$ tends to a parabolic parameter.

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Ludwik Jaksztas, Michel Zinsmeister. 2017-12-08. On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c. https://arxiv.org/abs/1712.03102

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