On the Hausdorff dimension of the Julia set of a regularly growing entire function-Reference-Cited by-同舟云学术

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

Published:2010-01-15 Issue:3 Volume:148 Page:531-551
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BERGWEILER WALTER,KARPIŃSKA BOGUSŁAWA

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

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5. [15] Rempe L. Rigidity of escaping dynamics for transcendental entire functions. To appear in Acta Math., arXiv: math/0605058.

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