Mixing and central limit theorems for Hénon maps

Let $f$ be a complex Hénon map and $\mu$ its unique measure of maximal entropy. Recently, Bianchi-Dinh proved that $\mu$ is exponentially mixing of all orders for all Hölder observables, and that all such observables satisfy the central limit theorem with respect to $\mu$. De Thélin-Vigny generalized these results for a certain class of bounded plurisubharmonic observables. We prove that these properties hold for all, not necessarily bounded, plurisubharmonic observables. This is a joint work with Hao Wu.