{ "id": "math/0610763", "version": "v1", "published": "2006-10-25T18:51:02.000Z", "updated": "2006-10-25T18:51:02.000Z", "title": "A simple proof of a recurrence theorem for random walks in $\\Z^{2}$", "authors": [ "Jean-Marc Derrien" ], "comment": "2 pages", "categories": [ "math.PR" ], "abstract": "In this note, we prove without using Fourier analysis that the symmetric square integrable random walks in $\\Z^{2}$ are recurrent.", "revisions": [ { "version": "v1", "updated": "2006-10-25T18:51:02.000Z" } ], "analyses": { "subjects": [ "60G50" ], "keywords": [ "simple proof", "recurrence theorem", "symmetric square integrable random walks", "fourier analysis" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....10763D" } } }