An upper bound for the probability of visiting a distant point by critical branching random walk in mathbb{Z}⁴
classification
🧮 math.PR
keywords
probabilitybranchingcriticaldistantmathbbpointrandomvisiting
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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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