A note on the critical barrier for the survival of α-stable branching random walk with absorption

2018/08/10 by Liu, Jingning, Zhang, Mei
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1808.03407

Abstract

We consider a branching random walk with an absorbing barrier, where the step of the associated one-dimensional random walk is in the domain of attraction of an α-stable law with 1a_α, then the process survives. The results generalize previous results in literature for the case α=2.

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