报告人：陈剑宇(美国马萨诸塞州大学)

报告题目: Stochastic Properties of Chaotic Dynamical Systems, with applications to physics models

报告摘要: The long-term behavior of Hyperbolic dynamical systems usually exhibit the so-called deterministic chaos, which resembles randomness via many statistical characteristics. In this talk, I will introduce my recent work on the stochastic properties of chaotic dynamical systems in the following aspects:

(1) The mechanism of hyperbolic chaos and the coexistence phenomena;

(2) The estimation of correlation decay by using various tools, including functional analysis, coupling method, statistical mechanics, etc;

(3) The almost sure invariance principle, which is the most advanced functional version of the central limit theorem. A particular application is shrinking target problem.

All results are applicable to specific physics models, such as H enon-like strange attractors, the periodic Lorenz gases, and chaotic billiards.

报告人简介： 陈剑宇，美国马萨诸塞州大学数学系助理教授。2007年本科毕业于北京大学，2012年于宾夕法尼亚州立大学获得博士学位，2012-16年在密西根州立大学进行博士后研究，2016年至今在马萨诸塞州大学数学系任助理教授。主要研究微分动力系统以及动力系统的统计性质。

报告时间：2019年1月2日（星期三）上午11:00-12:00

报告地点：科技楼南楼702室