IUMJ

Title: Equidistribution for meromorphic maps with dominant topological degree

Authors: Tien-Cuong Dinh, Viet anh Nguyen and Tuyen Trung Truong

Issue: Volume 64 (2015), Issue 6, 1805-1828

Abstract:

Let $f$ be a meromorphic self-map on a compact K\"ahler manifold whose topological degree is strictly larger than the other dynamical degrees.

We show that repelling periodic points are equidistributed with respect to the equilibrium measure $\mu$ of $f$. We also describe the exceptional set of points whose backward orbits are not equidistributed with respect to $\mu$.