Seminar at SMU Delhi

January 29, 2015 (Thursday) , 11:30 AM at Webinar
Speaker: K. B. Athreya, Iowa State University, USA
Title: Coalescence in branching processes.
Abstract of Talk
Consider a branching tree. Conditioned on it is not extinct at generation and pick two individuals from the nth generation by SRSWOR and trace their lines back till they meet. Call that generation $Xn.$ In this talk we discuss the limit behavior of this sequence for single type for subcritical, critical, supercritical, and explosive cases. Extensions to multitype will be discussed. Applications to branching random walks will also be discussed,(some of this is joint work with Jyy Hong of Iowa state University)