{ "id": "1602.01908", "version": "v1", "published": "2016-02-05T01:34:04.000Z", "updated": "2016-02-05T01:34:04.000Z", "title": "ASEP(q,j) converges to the KPZ equation", "authors": [ "Ivan Corwin", "Hao Shen", "Li-Cheng Tsai" ], "comment": "19 pages", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We show that a generalized Asymmetric Exclusion Process called ASEP(q,j) introduced by Carinci, Giardina, Redig and Sasamoto converges to the Cole-Hopf solution to the KPZ equation under weak asymmetry scaling.", "revisions": [ { "version": "v1", "updated": "2016-02-05T01:34:04.000Z" } ], "analyses": { "keywords": [ "kpz equation", "generalized asymmetric exclusion process", "sasamoto converges", "cole-hopf solution", "weak asymmetry scaling" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160201908C" } } }