MINI-COURSE ON GAUSSIAN MULTIPLICATIVE CHAOS
数学专题报告
报告题目(Title)：MINI-COURSE ON GAUSSIAN MULTIPLICATIVE CHAOS
报告人(Speaker)：黄逸超 准聘教授 （北京理工大学数学与统计学院）
地点(Place)：北京师范大学 艺术楼501，后主楼1124
时间(Time)：2025年5月13日、5月14日、5月23日
邀请人(Inviter)：陈昕昕
报告摘要
The goal of this mini-course is to give a brief introduction to the theory of Gaussian
multiplicative chaos. The lectures are organized as follows:
(1)13th May 2025, 14:00–17:00, 北师大后主楼1124. This lecture will be about general preliminaries on
Gaussian fields. 1) Review some basic knowledge about Gaussian processes. 2)
Introduce the Gaussian Free Field especially in dimension 2. 3) Introduce the general
log-correlated Gaussian fields.
(2) 14th May 2025, 10:00–13:00, 北师大艺术楼501 (10:00-11:40)+后主楼1124(12:00-13:00). This lecture will be about several different constructions of the (subcritical) Gaussian multiplicative chaos. 1) Review the construction
of the Gaussian multiplicative cascades and Kahane’s construction of the Gaussian
multiplicative chaos. 2) Review Duplantier-Sheffield’s construction of the Gaussian
multiplicative chaos. 3) Review Berestycki’s construction of the Gaussian multiplicative chaos.
(3) 23rd May 2025, 14:00–17:00, 后主楼1124. This lecture will be about the global behavior of the
Gaussian multiplicative chaos. 1) Study on the negative moment and small deviation
of Gaussian multiplicative chaos. 2) Fourier perturbation method for signed Gaussian
multiplicative chaos. 3) On some refined estimates on the fluctuation of Gaussian
multiplicative chaos.
The content of this course assumes nothing more than basic knowledge of undergraduate
probability theory.
主讲人简介
黄逸超, 北京理工大学数学与统计学院，准聘教授，主要研究概率论与数学物理的交叉方向，包括二维量子引力中的随机曲面，共形场论可积性等问题。
