Equidistribution speed for endomorphisms of projective spaces
Dynamical Systems
2009-01-21 v1 Complex Variables
Abstract
Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k, f^n its iterate of order n and \mu the equilibrium measure of f. We estimate the speed of convergence in the following known result. If a is a Zariski generic point in P^k, the probability measures, equidistributed on the preimages of a under f^n, converge to \mu as n goes to infinity.
Cite
@article{arxiv.0901.3000,
title = {Equidistribution speed for endomorphisms of projective spaces},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:0901.3000},
year = {2009}
}
Comments
14 pages