{ "id": "quant-ph/0001048", "version": "v1", "published": "2000-01-13T12:29:30.000Z", "updated": "2000-01-13T12:29:30.000Z", "title": "Brownian motion on a smash line", "authors": [ "Demosthenes Ellinas", "Ioannis Tsohantjis" ], "comment": "Latex, 6 pages no figures. Submitted to Journal of Nonlinear Mathematical Physics. Special Issue of Proccedings of NEEDS'99", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure. Further, statistical moments, non stationary generalizations and its diffusion limit are also studied. The ensuing diffusion equation posseses triangular matrix realizations.", "revisions": [ { "version": "v1", "updated": "2000-01-13T12:29:30.000Z" } ], "analyses": { "keywords": [ "brownian motion", "equation posseses triangular matrix realizations", "diffusion equation posseses triangular matrix", "ensuing diffusion equation posseses triangular", "smash line algebra" ], "tags": [ "journal article" ], "publication": { "doi": "10.2991/jnmp.2001.8.Supplement.18", "journal": "Journal of Nonlinear Mathematical Physics", "year": 2001, "volume": 8, "pages": 100 }, "note": { "typesetting": "LaTeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001JNMP....8S.100E" } } }