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Exponential mixing property for automorphisms of compact Kähler manifolds

Hao Wu Department of Mathematics, National University of Singapore

Complex Variables and Complex Analysis Dynamical Systems mathscidoc:2203.08005

Acta Mathematica, 59, (1), 213-227, 2021.5
Let f be a holomorphic automorphism of a compact Kähler manifold. Assume that f admits a unique maximal dynamic degree d_p with only one eigenvalue of maximal modulus. Let μ be its equilibrium measure. In this paper, we prove that μ is exponentially mixing for all d.s.h. test functions.
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@inproceedings{hao2021exponential,
  title={Exponential mixing property for automorphisms of compact Kähler manifolds},
  author={Hao Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311104728808258958},
  booktitle={Acta Mathematica},
  volume={59},
  number={1},
  pages={213-227},
  year={2021},
}
Hao Wu. Exponential mixing property for automorphisms of compact Kähler manifolds. 2021. Vol. 59. In Acta Mathematica. pp.213-227. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311104728808258958.
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