Equidistribution speed for endomorphisms of projective spaces
type: Item
instance of: scholarly article
title: Equidistribution speed for endomorphisms of projective spaces
zbMATH Open document ID: 1206.37023
author: Tien-Cuong Dinh
author: Nessim Sibony
published in: Mathematische Annalen
publication date: 2010-05-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/0901.3000
review text: The authors consider non-invertible holomorphic endomorphims \(f\) of complex projective spaces. For the probability measures which are equidistributed on the preimages of a Zariski generic point, they estimate the speed of convergence of those probability measures to the equilibrium measure under the iteration of \(f\). Compared with previous proofs of the theorem, the one presented in this paper is valid for a more general setting. It improves a geometrical method developed by other people and shows the existence of an analytic exceptional set.
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 32H50
zbMATH DE Number: 5708681
zbMATH Keywords: holomorphic endomorphims
zbMATH Keywords: complex projective spaces
zbMATH Keywords: equilibrium measure
zbMATH Keywords: Zariski open set
zbMATH Keywords: plurisubharmonic functions
reviewed by: Kwok-wai Chung
MaRDI profile type: Publication
OpenAlex ID: W2036268698
arXiv ID: 0901.3000
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DOI: 10.1007/S00208-009-0445-2
description: scientific article