{ "id": "2007.13432", "version": "v1", "published": "2020-07-27T11:10:20.000Z", "updated": "2020-07-27T11:10:20.000Z", "title": "A note on the intersections of two random walks in two dimensions", "authors": [ "Quirin Vogel" ], "comment": "10 pages", "categories": [ "math.PR" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-07-27T11:10:20.000Z" } ], "analyses": { "subjects": [ "60G50", "60F10" ], "keywords": [ "intersection", "large deviation result", "independent random walks", "phetpradap" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }