Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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F. Bianchi - T. C. Dinh

Exponential mixing of all orders and CLT for automorphisms of compact K{ä}hler manifolds

created by bianchi on 17 Jul 2023



Inserted: 17 jul 2023
Last Updated: 17 jul 2023

Year: 2023

ArXiv: 2304.13335 PDF


We consider the unique measure of maximal entropy of an automorphism of a compact K{\"a}hler manifold with simple action on cohomology. We show that it is exponentially mixing of all orders with respect to H{\"o}lder observables. It follows that the Central Limit Theorem (CLT) holds for these observables. In particular, our result applies to all automorphisms of compact K{\"a}hler surfaces with positive entropy.

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