An upper bound for the probability of visiting a distant point by critical branching random walk in $\mathbb{Z}^4$

Qingsan Zhu

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arXiv · 1503.00305

An upper bound for the probability of visiting a distant point by critical branching random walk in $\mathbb{Z}^4$

Qingsan Zhu

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Abstract

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

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Qingsan Zhu. 2015-03-01. An upper bound for the probability of visiting a distant point by critical branching random walk in $\mathbb{Z}^4$. https://arxiv.org/abs/1503.00305

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