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most citedAlmost sure convergence for stochastically biased random walks on trees

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math.PR2008

Asymptotics for the survival probability in a killed branching random walk

Nina Gantert, Yueyun Hu, Zhan Shi

Consider a discrete-time one-dimensional supercritical branching random walk. We study the probability that there exists an infinite ray in the branching random walk that always li…