Problems Concerning Spatial Branching Particle Systems with Interaction

Liang Zhang, University of Colorado Boulder

Abstract

In this dissertation, we study the behavior of the particle system of a branching process. In particular, we focus on the branching Brownian motion with some drift. For the center of the system, we describe its asymptotic behavior which depends on the drift. Then we discuss the limiting behavior for the relative system. Combining the center and the relative system, we give the Law of Large Numbers for the particle system.