{ "id": "1104.3509", "version": "v4", "published": "2011-04-18T15:12:07.000Z", "updated": "2014-06-20T08:26:05.000Z", "title": "A multi-layer extension of the stochastic heat equation", "authors": [ "Neil O'Connell", "Jon Warren" ], "comment": "v4: substantially extended and revised version", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "Motivated by recent developments on solvable directed polymer models, we define a 'multi-layer' extension of the stochastic heat equation involving non-intersecting Brownian motions.", "revisions": [ { "version": "v4", "updated": "2014-06-20T08:26:05.000Z" } ], "analyses": { "keywords": [ "stochastic heat equation", "multi-layer extension", "non-intersecting brownian motions", "solvable directed polymer models", "developments" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1104.3509O" } } }