Probability Seminar——Interval partition evolutions and applications
报告人： Quan Shi (CAS)
时间：2022-05-09 14:00-15:00
地点：Tencent Meeting（109 958 669）
Abstract:
A composition of a positive integer $n$ is a sequence of positive integers that sum to $n$. In this talk, I will introduce a family of interval-partition-valued diffusions that arise as limits of random walks on integer compositions. These infinite-dimensional diffusions have Poisson--Dirichlet (pseudo-)stationary distributions. Our model is closely related to Pitman--Dubins Chinese restaurant processes and random walks on integer partitions studied by Borodin--Olshanski and Petrov. I will also talk about some applications of our model in population genetics and continuum-tree-valued dynamics.
This talk is based on joint work with Noah Forman, Douglas Rizzolo, and Matthias Winkel.
About the Speaker:
石权于2016年获得瑞士苏黎世大学博士学位，现为中国科学院数学与系统科学研究院副研究员。
Homepage: http://homepage.amss.ac.cn/research/homePage/e60cc19e90174245942c70bf684a932b/myHomePage.html#home
Tencent Information Link: https://meeting.tencent.com/dm/4BnoY3fkL0sd
ID: 109-958-669
Password: 210509
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