Entropy properties of rational endomorphisms of the Riemann sphere

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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. © 1983, Cambridge University Press. All rights reserved.

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Ljubich, M. J. (1983). Entropy properties of rational endomorphisms of the Riemann sphere. Ergodic Theory and Dynamical Systems, 3(3), 351–385. https://doi.org/10.1017/S0143385700002030

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