中科院数学与系统科学研究院

数学研究所

学术报告

复动力系统研讨班

报告人：吴昊  （新加坡国立大学)

题  目：Berry-Esseen bounds（I）

时  间：2023.01.16（星期一）15:00-17:00

地  点：腾讯会议：761-185-418

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题 目: Berry-Esseen bounds（II）

时  间：2023.01.18（星期三）15:00-17:00

地  点：腾讯会议：350-835-455

摘 要：Followed by the lectures given by Lucas Kaufmann six months before, this mini-course will focus on the Berry-Esseen bound, which is the convergence speed of the central limit theorem of products of random matrices.

This mini-course will consist of two lectures and it will be more related to dynamic system than complex analysis.

Lecture 1: In the first lecture, I will recall the notations and terminologies in products of random matrices and give the proof of Berry-Esseen bound for the norm cocycle.

Lecture 2: In the second lecture. I will give the proof of Berry-Esseen bound for the coefficients of products of random matrices, which was an open question in last thirty years.