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.
"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