Mixing and CLT for H\'enon-Sibony maps: plurisubharmonic observables

Let f be a complex H\'enon 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 H\'enon-Sibony map on Cᵏ.