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The Hausdorff dimension of Julia sets of entire functions

Published online by Cambridge University Press:  19 September 2008

Gwyneth M. Stallard
Gwyneth M. Stallard
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW72AZ, UK
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 4 , December 1991 , pp. 769 - 777
Copyright
Copyright © Cambridge University Press 1991

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References

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