08/14/2019, 09:15 AM

(08/13/2019, 08:27 PM)bo198214 Wrote: Sheldon, I am glad you helped out on this question, I am - like always - in limited time mode.

Thanks you for your kind comments Henryk. It has been a pleasure to learn more and more about the start of the art of complex dynamics. I still don't quite understand all of Shishikura's papers, "Bifurcation of parabolic fixed points", an in particular, how Shishikura used perturbed fatou coordinates in his other proofs. "In fact, in [Sh1], such a notion was already introduced and its second iterate played a crucial role in the proof of the fact that a parabolic point can be perturbed so that the Hausdorff dimension of the Julia set is arbitrarily close to 2."

- Sheldon