Seminar at SMU Delhi
January 29, 2015 (Thursday) ,
11:30 AM at Webinar
K. B. Athreya,
Iowa State University, USA
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)