Entropy properties of rational endomorphisms of the Riemann sphere
- 19 September 1983
- journal article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 3 (3), 351-385
- https://doi.org/10.1017/s0143385700002030
Abstract
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.Keywords
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