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Porosity of Collet-Eckmann Julia sets (1996)

Abstract
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.

Publication details
Download http://arxiv.org/abs/math/9604234
Repository arXiv (United States)
Keywords Mathematics - Dynamical Systems
Type text