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Ergodic rational maps with dense critical point forward orbit

Published online by Cambridge University Press:  19 September 2008

Mary Rees
Mary Rees
Affiliation:
Department of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, England
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Abstract

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Examples are constructed of ergodic rational maps with dense critical orbit.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 2 , June 1984 , pp. 311 - 322
Copyright
Copyright © Cambridge University Press 1984

References

REFERENCES

[1]Brolin, H.. Invariant sets under iteration of rational functions. Arkiv For Matematik, 6 (1965), 103–144.CrossRefGoogle Scholar
[2]Herman, M. R.. Exemples de fractions rationelles ayant une orbit dense. To appear.Google Scholar
[3]Mane, R., Sad, P. & Sullivan, D.. On the dynamics of rational maps. To appear.Google Scholar
[4]Sullivan, D.. Conformal dynamical systems. To appear.Google Scholar