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arXiv:0712.4267 [math.DS]AbstractReferencesReviewsResources

Hyperbolic dimension and radial Julia sets of transcendental functions

Lasse Rempe

Published 2007-12-27Version 1

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.

Comments: 11 pages
Journal: Proc. Amer. Math. Soc. 137 (2009), 1411-1420.
Categories: math.DS, math.CV
Subjects: 37F35, 37F10, 30D05
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