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

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

2009-09-22

arxiv.org/abs/0909.3988v1

Math. Proc. Cambridge Philos. Soc. 148 (2010), 531-551

Mathematics

Dynamical Systems

21 pages

Scientific paper

10.1017/S0305004109990491

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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