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

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