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

Published 8 Dec 2017 in math.DS | (1712.03102v1)

Abstract: Let $d(c)$ denote the Hausdorff dimension of the Julia set $J_c$ of the polynomial $f_c(z)=z2+c$. We will investigate behavior of the function $d(c)$ when real parameter $c$ tends to a parabolic parameter.

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