Porosity of Collet-Eckmann Julia sets

Details Porosity of Collet-Eckmann Julia sets Porosity of Collet-Eckmann Julia sets

1996-04-08

arxiv.org/abs/math/9604234v1

Mathematics

Dynamical Systems

Scientific paper

We prove that the Julia set of a rational map of the Riemann sphere
satisfying the Collet-Eckmann condition and having no parabolic periodic point
is mean porous, if it is not the whole sphere. It follows that the Minkowski
dimension of the Julia set is less than 2.

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