Porosity of Collet-Eckmann Julia sets
Feliks Przytycki, Steffen Rohde
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.
Create a lesson
Related papers
ω-limit sets of triangular maps over periodic orbits of the base
Juan Luis García Guirao
The full Kolakoski shift is topologically transitive
Andrew C. Mitchell, James J. Walton, Michael F. Whittaker
Delay-induced multirhythmicity in a 3-cell inhibitory network
Xinxin Qie, Morten Gram Pedersen, Jian Song et al.
Natural Expansiveness and Equilibrium States for Semiflows
Nelda Tamblay, Juan Francisco Peña
Largest-Angle Bisection and Statistical Regularization of Triangle Shapes
Jérôme Michaud
Planar Central Configurations of Four Equal Masses: Classification and Morse Indices
Xiaoxiang Huangfu, Huatong Shen