Martin boundaries of some branching processes (Q1325079)

This paper describes the Martin boundary of three branching processes: the Yule process, the critical continuous-time Markov branching process in which each particle has either 0 or 2 children, and Feller's continuous-state branching process. The descriptions are obtained by blending general theory with calculations drawing on detailed knowledge of the transition probabilities for these models. For extremal harmonic \(h\), the \(h\)-transformed processes are also described.