Exponential mixing for automorphisms on compact Kaehler manifolds
Dynamical Systems
2009-07-23 v1 Complex Variables
Abstract
Let f be a holomorphic automorphism of positive entropy on a compact Kaehler surface. We show that the equilibrium measure of f is exponentially mixing. The proof uses some recent development on the pluripotential theory. The result also holds for automorphisms on compact Kaehler manifolds of higher dimension under a natural condition on their dynamical degrees.
Cite
@article{arxiv.0907.3794,
title = {Exponential mixing for automorphisms on compact Kaehler manifolds},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:0907.3794},
year = {2009}
}
Comments
10 pages