Skip to main content
Article

Entropy properties of rational endomorphisms of the Riemann sphere

M. Ju. LjubichDepartment of Mathematics, Kharkov State University, Kharkov, USSR
1983en
ABI

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.

Identifiers

Citations and references

Cited by 30 references