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arxiv: 0911.3755 · v2 · pith:SMDCRZ22new · submitted 2009-11-19 · 🧮 math.PR

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

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keywords branchingrandomwalkbelowboundarykilledlinearprobability
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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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