Entropy properties of rational endomorphisms of the Riemann sphere

1983/09/01 by M. Ju. Ljubich · 6 citations

paper · doi:10.1017/s0143385700002030

Abstract

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.

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