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On the residual Julia sets of rational functions

Published online by Cambridge University Press:  17 April 2001

SHUNSUKE MOROSAWA
SHUNSUKE MOROSAWA
Affiliation:
Department of Mathematics, Faculty of Science, Kochi University, Kochi, 780, Japan
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Abstract

We consider the subset of the Julia set called the residual Julia set, which comes from an analogy of the residual limit set of a Kleinian group. We give a necessary and sufficient condition in order that the residual Julia set is empty in the case of hyperbolic rational functions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 1 , February 1997 , pp. 205 - 210
Copyright
1997 Cambridge University Press

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