An Upper Bound for the Probability of Visiting a Distant Point by a Critical Branching Random Walk in $\mathbb{z} ^{4}$

Electronic Communications in Probability（2019）

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摘要

In this paper, we study the probability of visiting a distant point a∈ℤ^4 by critical branching random walk starting from the origin. We prove that this probability is bounded by 1/(|a|^2log |a|) up to a constant.

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