Abstract
In this paper, we study the probability of visiting a distant point $a\in \mathbb{Z} ^{4}$ by a critical branching random walk starting at the origin. We prove that this probability is bounded by $1/(|a|^{2}\log |a|)$ up to a constant factor.
Citation
Qingsan Zhu. "An upper bound for the probability of visiting a distant point by a critical branching random walk in $\mathbb{Z} ^{4}$." Electron. Commun. Probab. 24 1 - 6, 2019. https://doi.org/10.1214/19-ECP228
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