# Green currents for quasi-algebraically stable meromorphic self-maps of CP^k - Mathematics > Complex Variables

Abstract: We construct a canonical Green current T f for every quasi-algebraicallystable meromorphic self-map f of CP^k such that its first dynamical degree\lambda 1f is a simple root of its characteristic polynomial and that\lambda 1f > 1. We establish a functional equation for T f and show that thesupport of T f is contained in the Julia set of f, which is thus non empty.

Author: Viet-Anh Nguyen

Source: https://arxiv.org/