{ "id": "1408.3220", "version": "v2", "published": "2014-08-14T08:44:06.000Z", "updated": "2014-11-17T10:33:57.000Z", "title": "Recurrence for the frog model with drift on $\\mathbb{Z}^d$", "authors": [ "Christian Döbler", "Lorenz Pfeifroth" ], "comment": "13 pages", "journal": "Electronic Communications in Probability Vol. 19 (2014), article no. 79", "doi": "10.1214/ECP.v19-3740", "categories": [ "math.PR" ], "abstract": "In this paper we present a recurrence criterion for the frog model on $\\mathbb{Z}^d$ with an i.i.d. initial configuration of sleeping frogs and such that the underlying random walk has a drift to the right.", "revisions": [ { "version": "v1", "updated": "2014-08-14T08:44:06.000Z", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-11-17T10:33:57.000Z" } ], "analyses": { "subjects": [ "60K35", "60K37" ], "keywords": [ "frog model", "recurrence criterion", "underlying random walk", "initial configuration" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1408.3220D" } } }