On the Hausdorff dimension of the Julia set of a regularly growing entire function

Bogus{\l}awa Karpi\'nska; Walter Bergweiler

arxiv: 0909.3988 · v1 · submitted 2009-09-22 · 🧮 math.DS · math.CV

On the Hausdorff dimension of the Julia set of a regularly growing entire function

Walter Bergweiler , Bogus{\l}awa Karpi\'nska This is my paper

classification 🧮 math.DS math.CV

keywords dimensionentirefunctionhausdorffjuliaescapinggrowinggrowth

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We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.

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On the Hausdorff dimension of the Julia set of a regularly growing entire function

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