Porosity of Collet-Eckmann Julia sets
动力系统
2009-09-25 v1
摘要
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.
关键词
引用
@article{arxiv.math/9604234,
title = {Porosity of Collet-Eckmann Julia sets},
author = {Feliks Przytycki and Steffen Rohde},
journal= {arXiv preprint arXiv:math/9604234},
year = {2009}
}