{ "id": "cond-mat/0207647", "version": "v4", "published": "2002-07-26T15:56:18.000Z", "updated": "2003-04-24T15:46:24.000Z", "title": "Incomplete information and fractal phase space", "authors": [ "Qiuping A. Wang" ], "comment": "12 pages, 2 ps figure, TeX", "journal": "Chaos, Solitons & Fractals, 19(2004)639", "categories": [ "cond-mat.stat-mech" ], "abstract": "The incomplete statistics for complex systems is characterized by a so called incompleteness parameter $\\omega$ which equals unity when information is completely accessible to our treatment. This paper is devoted to the discussion of the incompleteness of accessible information and of the physical signification of $\\omega$ on the basis of fractal phase space. $\\omega$ is shown to be proportional to the fractal dimension of the phase space and can be linked to the phase volume expansion and information growth during the scale refining process.", "revisions": [ { "version": "v4", "updated": "2003-04-24T15:46:24.000Z" } ], "analyses": { "keywords": [ "fractal phase space", "incomplete information", "phase volume expansion", "scale refining process", "incompleteness parameter" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002cond.mat..7647W" } } }