On large deviations for the range of a two-dimensional random walk
Probability
2026-02-26 v1
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.
Cite
@article{arxiv.2602.21809,
title = {On large deviations for the range of a two-dimensional random walk},
author = {Serguei Popov and Quirin Vogel},
journal= {arXiv preprint arXiv:2602.21809},
year = {2026}
}
Comments
6 pages, 1 figure, comments welcome