Seminar Announcement

Coalescence in branching processes

Krishna Athreya

 Department of Statistics

Iowa State University

Johnson Center G19 - Gold Room

4400 University Drive, Fairfax, VA 22030

Time: 11:00 A.M. - 12:00 P.M.

Date: Friday, Sep 14, 2012 


Consider a branching tree. Go to the nth generation. If there are at least two vertices in that generation pick two of them at random by srswor (simple random sampling without replacement) and trace their lines of descent back in time till they meet. Call that generaion Xn. Do the same thing with all individuals in the nth generation. Call that Yn. In this talk we discuss the distributions of Xn and Yn and their asymptotics for Galton Watson trees as n goes to infinity for single and multitype cases for the four cases: subcritical, critical, supercritical, explosive.Applications to branching random walks will also be discussed.

Yunpeng Zhao, PhD

Assistant Professor
Department of Statistics
Volgenau School of Engineering
George Mason University
Engineering Building, Room 1719, MS 4A7
4400 University Drive
Fairfax, VA 22030-4444
Phone: 703-993-1674
Email: [log in to unmask]