Survival of branching random walks with absorption

E.F. Aidékon; B. Jaffuel

doi:10.1016/j.spa.2011.04.006

Survival of branching random walks with absorption

E.F. Aidékon, B. Jaffuel

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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.

Original language	English
Pages (from-to)	1901-1937
Journal	Stochastic Processes and their Applications
Volume	121
Issue number	9
DOIs	https://doi.org/10.1016/j.spa.2011.04.006
Publication status	Published - 2011

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10.1016/j.spa.2011.04.006

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title = "Survival of branching random walks with absorption",

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.",

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AU - Jaffuel, B.

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AB - 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.

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DO - 10.1016/j.spa.2011.04.006

M3 - Article

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VL - 121

SP - 1901

EP - 1937

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 9

ER -

Survival of branching random walks with absorption

Abstract

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