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Iterates of meromorphic functions III: Preperiodic domains

Published online by Cambridge University Press:  19 September 2008

I. N. Baker ,
J. Kotus  and
Lü Yinian
I. N. Baker
Affiliation:
Department of Mathematics, Imperial College, London, SW7 2BZ, UK
J. Kotus
Affiliation:
Institute of Mathematics, Technical University of Warsaw, 00–661 Warsaw, Poland
Lü Yinian
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing, China
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Abstract

The paper discusses the connectivity of periodic and preperiodic domains in the stable set in the iteration of a meromorphic function. The connectivity of an invariant component has one of the values 1, 2, ∞. Examples are constructed to show that the connectivity of a preperiodic component may take any value.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 4 , December 1991 , pp. 603 - 618
Copyright
Copyright © Cambridge University Press 1991

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References

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