| 报告题目： | Random trees, Chinese restaurant processes, and interval-partition evolutions |
| 报 告 人： | 石权 |
| 报告人所在单位： | 德国曼海姆大学 |
| 报告日期： | 2021-06-01 星期二 |
| 报告时间： | 16:50-17:35 |
| 报告地点： | 腾讯会议ID：883 124 001，密码：202106 |
| 报告摘要： | 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. /r/n This talk is based on joint work with Noah Forman, Douglas Rizzolo, and Matthias Winkel. /r/n/r/n |
| 本年度学院报告总序号： | 151 |