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math.PR2012
Decomposition of supercritical linear-fractional branching processes
Serik Sagitov, Altynay Shaimerdenova
It is well known that a supercritical single-type Bienyamé-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having…
math.PR2012
Extinction times for a birth-death process with weak competition
Serik Sagitov, Altynay Shaimerdenova
We consider a birth-death process with the birth rates and death rates , where is the current state of the process. A positive competition rate is assumed…