Hyperbolic dimension and radial Julia sets of transcendental functions
classification
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dimensionjuliahyperbolicradialahlforsalwayscoincidesdefinition
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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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