报告题目: Invariance principles for random/nonstationary noninvertible dynamical systems
报 告 人:苏耀峰 助理教授 (南方科技大学)
报告时间:2025年12月29日(星期一) 15:00-16:00
报告地点:数学科学学院114(小报告厅)
校内联系人: 王哲 博士后 联系方式:17824823026
报告摘要:In 1958 Kolmogorov shows that chaotic dynamical systems exhibit certain stochastic behaviors, which gives a new direction called statistical properties of dynamical systems. Chaotic dynamical systems have various limit theorems, including law of large numbers, central limit theorems (CLT), arcsine law, law of the iterated logarithm , etc. In this talk, I will present a statistical property called an almost sure invariance principle, which implies many limit theorems including CLT etc. Various noninvertible dynamical systems satisfying this property will be presented too.
报告人简介:苏耀峰,南方科技大学数学系助理教授。他于美国休斯敦大学获得数学博士学位,导师为 Andrew Török 教授。此后,他曾在佐治亚理工数学学院担任 Hale 访问助理教授,合作导师为 Leonid Bunimovich 教授;并曾在罗马第二大学数学系担任研究员,在Carlangelo Liverani 教授指导下从事研究。