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

Electronic Communications in Probability 2026 Open access

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Authors: Serguei Popov, Quirin Vogel
DOI: 10.1214/26-ecp817
Cited by: 0

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.

Fields of Study & Subjects

Stochastic processes and statistical mechanics Probability and Statistical Research Mathematical Dynamics and Fractals

Publication details

Journal / source
Electronic Communications in Probability
Volume
31
Issue
none
Pages
1–6
Publication date
1 January 2026
Language
EN