Speaker: Zenghu Li (Beijing Normal University)
Title: Stochastic equations for branching processes
Date: Friday, February 10, 2017
Time: 3:30 – 4:30 p.m.
Place: HP 4351 (MacPhail Room), Carleton University
ABSTRACT: continuous-state branching process is the mathematical model for the evolution of a large population of small individuals. The process can be constructed as the strong solution to a stochastic integral equation driven by Gaussian and Poisson time-space noises. The genealogical structures of the population are represented by continuum random trees. More general population models take into consideration the influence of immigration, competition, environments and so on. The research in the subject has been undergoing rapid development and has led to better understanding of deep structures including Brownian excursions, stochastic flows, Levy trees and planar maps.
In this talk, we present a number of stochastic integral equations in the theory of continuous-state branching processes. We explain how the equations can be used in the study the structural properties of the model.
Professor Li is currently Head of the School of Mathematical Sciences, Beijing Normal University.
He has been a frequent visitor to Carleton University and has published extensively in probability including his book Measure-valued Branching Markov Processes, Springer, 2011.