Geodesic
Porosity of Collet–Eckmann Julia sets
Fundamenta Mathematicae, Tome 155 (1998) no. 2, pp. 189-199
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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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Feliks Przytycki; Steffen Rohde. Porosity of Collet–Eckmann Julia sets. Fundamenta Mathematicae, Tome 155 (1998) no. 2, pp. 189-199. doi: 10.4064/fm-155-2-189-199

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