My third question about Shishikura's result :

Shishikura (1991) proved that the Hausdorff Dimension of the boundary of the Mandelbrot set equals 2, in [this paper][1]1. The Mandelbrot set is defined by iterating to infinity the z^2+c map.

Does his result also apply for higher powers, such as z^8 + c ?

Thanks again.


  [1]: http://arxiv.org/abs/math/9201282