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Ergodic rational maps with dense critical point forward orbit

Published online by Cambridge University Press:  19 September 2008

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

References

REFERENCES

[1]Brolin, H.. Invariant sets under iteration of rational functions. Arkiv For Matematik, 6 (1965), 103144.Google Scholar
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[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