Hyperbolic dimension and radial Julia sets of transcendental functions

Lasse Rempe
2008 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-08-09650-0 fatcat:nbefbiqqljfzlkvbuxlteoiqe4