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Entropy properties of rational endomorphisms of the Riemann sphere

Published online by Cambridge University Press:  19 September 2008

M. Ju. Ljubich
M. Ju. Ljubich
Affiliation:
Department of Mathematics, Kharkov State University, Kharkov, USSR
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Abstract

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In this paper the existence of a unique measure of maximal entropy for rational endomorphisms of the Riemann sphere is established. The equidistribution of pre-images and periodic points with respect to this measure is proved.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 3 , September 1983 , pp. 351 - 385
Copyright
Copyright © Cambridge University Press 1983

References

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