报告人:Guangqu Zheng (郑光取), University of Luxembourg (卢森堡大学,卢森堡大公国)
题目: Exchangeable pairs, spectral decomposition and Fourth moment theorems on the Poisson space.
时间:7月27日 4:00-5:00
地点:1518
摘要: In this talk, we will present the recent elementary exchangeable pairs approach initiated in Nourdin and Zheng (2017) on the Gaussian space, further developed in Doebler, Vidotto and Zheng (2017) on the Poisson space. In both setting, we are able to obtain the fourth moment theorems in any dimension. The talk shall be accessible to graduate students with basic knowledge on functional analysis and probability theory.