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arXiv · 0712.4267

Hyperbolic dimension and radial Julia sets of transcendental functions

Lasse Rempe
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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.

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Lasse Rempe. 2007-12-27. Hyperbolic dimension and radial Julia sets of transcendental functions. https://doi.org/10.1090/s0002-9939-08-09650-0

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