Branching Processes with Infinitely Many Types

Abstract

In this chapter, we consider a number of examples of branching processes with infinite type spaces. No systematic theory can be presented. However, in Sect. 7.1 we review various approaches generalizing the denumerable case. Also, general processes (Sect. C.1) include the denumerable type space as a special case. We will base considerations on an analogy with the finite mutitype case whenever possible. However, the stress is on interesting and diverse properties, which are different from the finite multitype setup and on biologically motivated examples.