In this note we prove a large deviation result for the intersection of ranges of two independent random walks in dimension two. This complements the study of Phetpradap from 2011, where the intersection in dimension three and above was studied.

中文翻译：

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关于二维随机游走的交集的注释

在本笔记中，我们证明了维度二中两个独立随机游走的范围交集的大偏差结果。这补充了 2011 年对 Phetpradap 的研究，其中研究了维度三及以上的交集。