Hyperbolic dimension and radial Julia sets of transcendental functions

By Lasse Rempe. 2007

49 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/de9e8736d9841c9bf6dce4fb30fda2d93829ebd1

Citations in the corpus

• Non-autonomous conformal iterated function systems and Moran-set constructions (2012, unknown): “The second equality was proved in [13].”