Ergodic Theory and Dynamical Systems

Research Article

The Hausdorff dimension of Julia sets of entire functions

Gwyneth M. Stallarda1

a1 Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW72AZ, UK

Abstract

We construct a set of transcendental entire functions such that the Hausdorff dimensions of the Julia sets of these functions have greatest lower bound equal to one.

(Received June 10 1990)