preprint
Inserted: 9 mar 2026
Last Updated: 9 mar 2026
Year: 2024
Abstract:
Let $f$ be a complex Hénon map and $μ$ its unique measure of maximal entropy. We prove that $μ$ is exponentially mixing of all orders for all (not necessarily bounded) plurisubharmonic observables, and that all plurisubharmonic functions satisfy the central limit theorem with respect to $μ$. Our results hold more generally for every Hénon-Sibony map on $\mathbb{C}^k$.