Codings of multitype trees and applications to branching processes III
主 题: Codings of multitype trees and applications to branching processes III
报告人: Professor Lo?c Chaumont (University of Angers, France)
时 间: 2014-06-13 14:00 - 15:00
地 点: 理科一号楼1303（概率论系列报告）
Lecture 3 : The Lamperti representation of multitype branching processes and multivariate fluctuation theory.
We show a Lampertitype representation of continuous time, discrete valued multitype branching processes. The later is obtained as a time change of some class of multivariate L\'evy processes.As an application we can characterise the joint law a fixedtimes of the number of families of each type.Then we define a fluctuation theory for the class of multivariate L\'evy processes which appears in the extended Lamperti representation.