Speaker: Marco Vergamini (Scuola Normale Superiore di Pisa)
Title: Mixing and central limit theorems for Hénon maps
Abstract: Let f be a complex Hénon map and μ its unique measure of maximal entropy. Recently, Bianchi-Dinh proved that μ is exponentially mixing of all orders for all Hölder observables, and that all such observables satisfy the central limit theorem with respect to μ. 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.