English

A note on the intersections of two random walks in two dimensions

Probability 2023-11-20 v1

Abstract

In this note we prove a large deviation result for the intersection of the 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.

Keywords

Cite

@article{arxiv.2007.13432,
  title  = {A note on the intersections of two random walks in two dimensions},
  author = {Quirin Vogel},
  journal= {arXiv preprint arXiv:2007.13432},
  year   = {2023}
}

Comments

10 pages

R2 v1 2026-06-23T17:25:34.020Z