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必威、所2020年系列学术活动(第49场):苏中根教授 浙江大学

发表于: 2020-06-08   点击: 

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。