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

2009/11/19 by Jean Bérard, Bérard, Jean, Jean-Baptiste Gouéré +1
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.0911.3755

arxiv created 2010/09/27 · arxiv updated 2010/09/28

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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