報告題目：How Big Are the Increments of Airy Process?
報 告 人：蘇中根 教授 浙江大學
報告時間：2024年5月15日星期三 15:00-16:00
報告地點：騰訊會議 ID：342-588-687
校内聯系人：張勇 zyong2661@jlu.edu.cn
報告摘要：
The Airy process is a real valued random process whose finite dimensional distribution is determined by a Fredholm determinant with Airy kernel. It was first introduced by Prah\"{o}fer and Spohn in the study of polynuclear growth model more than 20 years ago and has become a central object in the KPZ universality class. There has been some intensive research activities around the Airy process, some of which has rigourously proved its existence, time correlation and continuity, and more interestingly obtained the modulus of continuity. Compared to well-studied Brownian motions, Brownian bridges and even Ornstein-Ulenbeck processes, Airy process and its extension (i.e. Airy line ensembles) are new, so it is worthwhile further research. In this talk I shall briefly review some remarkable results in this field with focus on the increments of Airy process sample paths, no detailed proofs are given.
報告人簡介：
蘇中根，浙江大學數學科學學院教授，博士生導師。1995年獲複旦大學博士學位，主要從事概率極限理論及其應用研究， 研究興趣包括随機滲流理論，随機矩陣，随機增長過程，高維數據分析，統計大樣本理論等.曾主持國家自然科學基金項目，浙江省傑出青年基金項目，并獲教育部科技進步二等獎，浙江省自然科學二等獎和寶鋼優秀教師獎. 合作編著的《概率極限理論基礎》(第二版) 2021年獲首屆全國優秀教材二等獎。
