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何 辉 教授:Some properties of a stationary continuous state branching process

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 何 辉 教授,北京师范大学
Inviter:
Title:
Some properties of a stationary continuous state branching process
Time & Venue:
2021.05.26 10:00-11:00 思源楼S805室
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.

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