Survival of branching random walks with absorption
We consider a branching random walk on starting from x>=0 and with a killing barrier at 0. At each step, particles give birth to b children, which move independently. Particles that enter the negative half-line are killed. In the case of almost sure extinction, we find asymptotics for the survival probability at time n, when n tends to infinity.
Volume (Year): 121 (2011)
Issue (Month): 9 (September)
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- Kesten, Harry, 1978. "Branching brownian motion with absorption," Stochastic Processes and their Applications, Elsevier, vol. 7(1), pages 9-47, March.
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