{ "id": "cond-mat/0701674", "version": "v2", "published": "2007-01-26T21:17:11.000Z", "updated": "2007-03-25T21:35:31.000Z", "title": "Two Dimensional Directed Lattice Walks with Boundaries", "authors": [ "Arvind Ayyer", "Doron Zeilberger" ], "comment": "29 pages, 10 figures, some references added. Some physical results stated more clearly", "categories": [ "cond-mat.stat-mech", "math.CO" ], "abstract": "We present general algorithms (fully implemented in Maple) for calculations of various quantities related to constrained directed walks for a general set of steps on the square lattice in two dimensions. As a special case, we rederive results of earlier works.", "revisions": [ { "version": "v2", "updated": "2007-03-25T21:35:31.000Z" } ], "analyses": { "keywords": [ "dimensional directed lattice walks", "boundaries", "general algorithms", "general set", "square lattice" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007cond.mat..1674A" } } }