报告题目：Tracy-Widom Distributions, Airy Processes and Their Sample Path Properties

报 告 人：苏中根 教授 浙江大学

报告时间：2020年6月12日 9:30-10:30

报告地点：腾讯会议 ID：562 179 855

点击链接入会，或添加至会议列表：

https://meeting.tencent.com/s/SypD6kaovUmw

校内联系人：张勇  zyong2661@jlu.edu.cn

报告摘要：

The Tracy-Widom distribution was first discovered in the study of eigenvalues of Gaussian unitary ensembles 25 years ago. Now it has widely appeared in a number of apparently distinct research  fields, like LIS, LPP, directed polymers, KPZ equation. The Airy process is defined through its finite dimensional distributions with Tracy-Widom distribution as 1-dimensional marginal distribution. Compared to classic processes like Poisson processes, Brownian motions and Gaussian processes, this process looks like a new one, but it is an interesting and colorful object of study. In this talk, I shall briefly review the Tracy-Widom distributions and Airy processes and focus on some basic properties of sample paths like continuity, and correlation  functions and some recent advances on the moduli of continuity

报告人简介：

苏中根，浙江大学数学科学学院教授、博士生导师，浙江大学统计研究所副所长。研究领域为概率极限理论，统计大样本理论，随机矩阵，高维数据分析。自2004年以来，主持国家自然科学基金面上项目3项，浙江省杰出青年团队项目1项。2002年获全国普通高校优秀教材一等奖，2003年获教育部科技进步奖二等奖，2005年获浙江大学优秀教学成果一等奖。