Hyperbolic dimension and radial Julia sets of transcendental functions
Dynamical Systems
2009-01-21 v1 Complex Variables
Abstract
We survey the definition of the radial Julia set of a meromorphic function (in fact, more generally, any "Ahlfors islands map"), and give a simple proof that the Hausdorff dimension of the reduced Julia set always coincides with the hyperbolic dimension.
Keywords
Cite
@article{arxiv.0712.4267,
title = {Hyperbolic dimension and radial Julia sets of transcendental functions},
author = {Lasse Rempe},
journal= {arXiv preprint arXiv:0712.4267},
year = {2009}
}
Comments
11 pages