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