Exponential mixing property for automorphisms of compact K\"ahler manifolds
Dynamical Systems
2020-10-09 v3 Complex Variables
Abstract
Let be a holomorphic automorphism of a compact K\"ahler manifold. Assume moreover that admits a unique maximal dynamic degree with only one eigenvalue of maximal modulus. Let be its equilibrium measure. In this paper, we prove that is exponentially mixing for all d.s.h.\ test functions.
Keywords
Cite
@article{arxiv.2005.13319,
title = {Exponential mixing property for automorphisms of compact K\"ahler manifolds},
author = {Hao Wu},
journal= {arXiv preprint arXiv:2005.13319},
year = {2020}
}