Exponential estimates for plurisubharmonic functions and stochastic dynamics
Complex Variables
2008-03-04 v2 Dynamical Systems
Abstract
We prove exponential estimates for plurisubharmonic functions with respect to Monge-Ampere measures with Holder continuous potential. As an application, we obtain several stochastic properties for the equilibrium measures associated to holomorphic maps on projective spaces. More precisely, we prove the exponential decay of correlations, the central limit theorem for general d.s.h. observables, and the large deviations theorem for bounded d.s.h. observables and Holder continuous observables.
Cite
@article{arxiv.0801.1983,
title = {Exponential estimates for plurisubharmonic functions and stochastic dynamics},
author = {Tien-Cuong Dinh and Viet-Anh Nguyen and Nessim Sibony},
journal= {arXiv preprint arXiv:0801.1983},
year = {2008}
}
Comments
24 pages, theorem and references added