Article ID Journal Published Year Pages File Type
1155922 Stochastic Processes and their Applications 2011 37 Pages PDF
Abstract

We consider a branching random walk on RR starting from x≥0x≥0 and with a killing barrier at 00. At each step, particles give birth to bb 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 nn, when nn tends to infinity.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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