概率论系列报告(讨论班)——Extinction properties and asymptotic behaviour of multi-type continuous state branching processes
主 题: 概率论系列报告(讨论班)——Extinction properties and asymptotic behaviour of multi-type continuous state branching processes
报告人: Dr. Sandra Palau (University of Bath, UK)
时 间: 2017-10-16 14:00-15:00
地 点: 理科1号楼1303
Abstract: First, we will discuss how to construct multi-type continuous state branching processes. Under mild conditions, we will see that there exists a lead eigenvalue associated with the first-moment semigroup. The sign of this eigenvalue distinguishes between the cases where there is extinction and exponential growth. Finally, in the supercritical case, we will give the a.s. rate of growth and the convergence of the proportion of each type.