Date of Award

Spring 1-1-2015

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Janos Englander

Second Advisor

Jem Corcoran

Third Advisor

Sergei Kuznetsov

Fourth Advisor

Martin Walter

Fifth Advisor

Manuel Lladser

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.

Included in

Mathematics Commons

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