Hyperbolic dimension and radial Julia sets of transcendental functions

Details Hyperbolic dimension and radial Julia sets of transcendental functions Hyperbolic dimension and radial Julia sets of transcendental functions

2007-12-27

arxiv.org/abs/0712.4267v1

Proc. Amer. Math. Soc. 137 (2009), 1411-1420.

Mathematics

Dynamical Systems

11 pages

Scientific paper

10.1090/S0002-9939-08-09650-0

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.

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