Electronic Journal of Probability

Survival Probability of the Branching Random Walk Killed Below a Linear Boundary

Jean Bérard and Jean-Baptiste Gouéré

Full-text: Open access

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.

Article information

Source
Electron. J. Probab., Volume 16 (2011), paper no. 14, 396-418.

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

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1464820183

Digital Object Identifier
doi:10.1214/EJP.v16-861

Mathematical Reviews number (MathSciNet)
MR2774095

Zentralblatt MATH identifier
1228.60092

Subjects
Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)

Keywords
Branching random walks survival probability

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

Citation

Bérard, Jean; Gouéré, Jean-Baptiste. Survival Probability of the Branching Random Walk Killed Below a Linear Boundary. Electron. J. Probab. 16 (2011), paper no. 14, 396--418. doi:10.1214/EJP.v16-861. https://projecteuclid.org/euclid.ejp/1464820183


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