Growth Rates for Pure Berth Markov Chains and Preferential Attachment Random Graphs with General weight function

K.B. Athreya

Abstract

In this talk we address the two question. 1. Given the birth rates what is the growth rate of the population? 2. For given population growth rate what should be the birth rates? The results on these will be applied to determining the growth rates of a preferential attachment random graph with general weight function.