Probability Seminar——Some properties of a stationary continuous state branching process
报告人：何辉 Hui He (BNU)
时间：2021-05-10 14:00-15:00
地点：Room 1114, Sciences Building No. 1
Abstract: We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant population at some fixed time and prove that, up to a deterministic time-change, it is distributed as a continuous-time Galton-Watson process with immigration. We also show that the sizes of the families of the extant population ranked according to their immigration time yields a Poisson-Kingman distribution. And a natural link to the Bolthausen-Sznitman coalescent is also obtained. The talk is based on a joint work with R. Abraham and J.-F. Delmas.
