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2011 Survival Probability of the Branching Random Walk Killed Below a Linear Boundary
Jean Bérard, Jean-Baptiste Gouéré
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Electron. J. Probab. 16: 396-418 (2011). DOI: 10.1214/EJP.v16-861

Abstract

We give an alternative proof of a result by N. Gantert, Y. Hu and Z. Shi on the asymptotic behavior of the survival probability of the branching random walk killed below a linear boundary, in the special case of deterministic binary branching and bounded random walk steps. Connections with the Brunet-Derrida theory of stochastic fronts are discussed.

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Jean Bérard. Jean-Baptiste Gouéré. "Survival Probability of the Branching Random Walk Killed Below a Linear Boundary." Electron. J. Probab. 16 396 - 418, 2011. https://doi.org/10.1214/EJP.v16-861

Information

Accepted: 18 February 2011; Published: 2011
First available in Project Euclid: 1 June 2016

zbMATH: 1228.60092
MathSciNet: MR2774095
Digital Object Identifier: 10.1214/EJP.v16-861

Subjects:
Primary: 60J80

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Vol.16 • 2011
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