Equidistribution speed for endomorphisms of projective spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k, f^n its iterate of order n and μthe 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 μas n goes to infinity.
14 pages

Keywords

Dynamical Systems, Complex Variables, 37Fxx, 32Hxx

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/216680

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3000
 http://arxiv.org/abs/0901.3000

Collections

arXiv