Published Paper
Inserted: 9 mar 2026
Last Updated: 9 jun 2026
Journal: Mathematische Zeitschrift
Volume: 312
Pages: 118
Year: 2026
Doi: https://doi.org/10.1007/s00209-026-04010-x
Abstract:
Let $f$ be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology and $μ$ its unique measure of maximal entropy. We prove that $μ$ is exponentially mixing of all orders for all d.s.h.\ observables, i.e., functions that are locally differences of plurisubharmonic functions. As a consequence, every d.s.h.\ observable satisfies the central limit theorem with respect to $μ$.