Branching Processes (grundlehren Der Mathematischen Wissenschaften Series Vol 196)

Athreya (Cornell U.) and Ney (U. of Wisconsin) cover developments in the theory of branching processes in the decade following the publication of Harris's important Theory of Branching Processes, although enough older material is presented to make the work self contained. In the first two chapters they develop the Galton-Watson process, later reducing analogous questions of the treatment of continuous time (Markov and age-dependent) cases to their Galton- Watson counterparts. After these discussions of single type processes, they present a chapter dealing multi-type branching processes. A final chapter explores applications. This is a paperbound edition of a work first published in 1972 A Unified Treatment Of The Limit Theory Of Branching Processes, This Volume Focuses On Basics And Is Appropriate For Graduate And Advanced Undergraduate Students. The Authors&cover Basic Galton-watson Process, Potential Theory, One Dimensional Continuous Time Markov Branching Processes, Age-dependent Processes, Multi-type Branching Processes, And Special Processes. Exercises. 1972 Edition.