The Hausdorff dimension of Julia sets of entire functions
Author:
- Gwyneth M. StallardGSGwyneth M. Stallard
- 1 December 1991
- journal article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 11 (4) , 769-777
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.Keywords
This publication has 7 references indexed in Scilit:
- Area and Hausdorff Dimension of Julia Sets of Entire FunctionsTransactions of the American Mathematical Society, 1987
- Area and Hausdorff dimension of Julia sets of entire functionsTransactions of the American Mathematical Society, 1987
- Repellers for real analytic mapsErgodic Theory and Dynamical Systems, 1982
- On the iteration of rational functionsMathematical Proceedings of the Cambridge Philosophical Society, 1978
- The domains of normality of an entire functionAnnales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1975
- Invariant sets under iteration of rational functionsArkiv för Matematik, 1965
- Sur l'itération des fonctions transcendantes EntièresActa Mathematica, 1926