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

Ludwik Jaksztas, Michel Zinsmeister

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…