Exponential mixing property for automorphisms of compact Kähler manifolds

DOI10.4310/ARKIV.2021.V59.N1.A8zbMATH Open1470.32046arXiv2005.13319OpenAlexW3160598988WikidataQ115481162 ScholiaQ115481162MaRDI QIDQ2032830

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Publication date: 14 June 2021

Published in: (Search for Journal in Brave)

Abstract: Let $f$ be a holomorphic automorphism of a compact K"ahler manifold. Assume moreover that $f$ admits a unique maximal dynamic degree $d_p$ with only one eigenvalue of maximal modulus. Let $mu$ be its equilibrium measure. In this paper, we prove that $mu$ is exponentially mixing for all d.s.h. test functions.

Full work available at URL: https://arxiv.org/abs/2005.13319

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