中科院数学与系统科学研究院
数学研究所
动力系统研讨班
报告人： 何 辉 教授(北京师范大学)
题 目：Some properties of a stationary continuous state branching process
地 点：思源楼S805室
摘 要：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.
时 间：2021.05.26（星期三）, 10:00-11:00
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