Entropy properties of rational endomorphisms of the Riemann sphere

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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.

Topics & Keywords

Mathematical Dynamics and Fractals

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Ergodic Theory and Dynamical Systems

Volume 3, Issue 3, pp. 351-385

DOI: 10.1017/s0143385700002030

Field-Weighted Citation Impact: 3.68