English

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

Probability 2010-09-28 v2

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.

Keywords

Cite

@article{arxiv.0911.3755,
  title  = {Survival probability of the branching random walk killed below a linear boundary},
  author = {Jean Bérard and Jean-Baptiste Gouéré},
  journal= {arXiv preprint arXiv:0911.3755},
  year   = {2010}
}