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arXiv · 2602.21809

On large deviations for the range of a two-dimensional random walk

Serguei Popov·Quirin Vogel
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Abstract

In this note, we compute the probability that a two-dimensional symmetric random walk visits more vertices than expected, for deviations on scales between the mean behavior and linear growth.

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Serguei Popov, Quirin Vogel. 2026-02-25. On large deviations for the range of a two-dimensional random walk. https://arxiv.org/abs/2602.21809

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