The Hausdorff Dimension of the Boundary of the Mandelbrot Set and Julia Sets
نویسنده
چکیده
It is shown that the boundary of the Mandelbrot set M has Hausdorff dimension two and that for a generic c ∈ ∂M , the Julia set of z 7→ z + c also has Hausdorff dimension two. The proof is based on the study of the bifurcation of parabolic periodic points.
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تاریخ انتشار 1998