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arXiv · 0911.3755

Survival probability of the branching random walk killed below a linear boundary

Jean Bérard·Jean-Baptiste Gouéré
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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. 2009-11-19. Survival probability of the branching random walk killed below a linear boundary. https://arxiv.org/abs/0911.3755

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