Porosity of Collet–Eckmann Julia sets
Volume 155 / 1998
Fundamenta Mathematicae 155 (1998), 189-199
DOI: 10.4064/fm-155-2-189-199
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.
