Survival of branching random walks with absorption

Elie Aïdékon and Bruno Jaffuel

Stochastic Processes and their Applications, 2011, vol. 121, issue 9, 1901-1937

Abstract: 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.

Keywords: Branching; random; walk; Survival; probability; Local; limit; theorems (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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