Hyperbolic dimension and radial Julia sets of transcendental functions
arXiv:0712.4267 · doi:10.1090/S0002-9939-08-09650-0
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.
11 pages