Published Paper
Inserted: 17 jul 2023
Last Updated: 9 mar 2026
Journal: Advances in Mathematics
Volume: 485
Pages: 110689
Year: 2026
Doi: https://doi.org/10.1016/j.aim.2025.110689
Abstract:
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.