Decay of correlations and central limit theorem for meromorphic maps
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
Let f be a dominating meromorphic self-map of large topological degree on a compact Kaehler manifold. We give a new construction of the equilibrium measure of f and prove that it is exponentially mixing. Then, we deduce the central limit theorem for Lipschitzian observables.
Cite
@article{arxiv.math/0410008,
title = {Decay of correlations and central limit theorem for meromorphic maps},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:math/0410008},
year = {2007}
}
Comments
17 pages