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

Fuente: arXiv
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Autori principali: Popov, Serguei, Vogel, Quirin
Natura: Preprint
Pubblicazione: 2026
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author Popov, Serguei
Vogel, Quirin
author_facet Popov, Serguei
Vogel, Quirin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21809
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On large deviations for the range of a two-dimensional random walk
Popov, Serguei
Vogel, Quirin
Probability
60G50, 60G17, 60F10
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.
title On large deviations for the range of a two-dimensional random walk
topic Probability
60G50, 60G17, 60F10
url https://arxiv.org/abs/2602.21809