Porosity of Collet-Eckmann Julia sets
classification
🧮 math.DS
keywords
juliacollet-eckmannsphereconditiondimensionfollowshavingless
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.