Area and Hausdorff Dimension of Julia Sets of Entire Functions
Author:
- Curt McMullenCMCurt McMullen
Open Access
- 1 March 1987
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 300 (1) , 329-342
Abstract
We show the Julia set of has positive area and the action of on its Julia set is not ergodic; the Julia set of has Hausdorff dimension two but in the presence of an attracting periodic cycle its area is zero.Keywords
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