Probability Seminar——Interval partition evolutions and applications
报告人： Quan Shi (CAS)
地点：Tencent Meeting（109 958 669）
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:
Tencent Information Link: https://meeting.tencent.com/dm/4BnoY3fkL0sd
Your participation is warmly welcomed!