Mixing and CLT for Hénon–Sibony maps: Plurisubharmonic observables
Abstract
Let f be a complex Hénon map and \mu its unique measure of maximal entropy. We prove that \mu 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 \mu . Our results hold more generally for every Hénon–Sibony map on \mathbb{C}^{k} .
Fields of Study & Subjects
Seismic Imaging and Inversion Techniques
Methane Hydrates and Related Phenomena
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Commentarii Mathematici Helvetici
- Publication date
- 10 July 2026
- Language
- EN