Open AccessMathematics

Entropy properties of rational endomorphisms of the Riemann sphere

M. J. Ljubich

1983.9.1ERGODIC THEORY AND DYNAMICAL SYSTEMS

DOI: 10.1017/s0143385700002030

tlooto Summary

Establishment of a unique measure of maximal entropy for rational endomorphisms of the Riemann sphere and proof of equidistribution of pre-images and periodic points.

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.

Citation format

LJUBICH, M. J. Entropy properties of rational endomorphisms of the riemann sphere. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1983, 3: 351–385.