{ "id": "cond-mat/0301343", "version": "v1", "published": "2003-01-20T09:02:16.000Z", "updated": "2003-01-20T09:02:16.000Z", "title": "Information theory and generalized statistics", "authors": [ "Petr Jizba" ], "comment": "Invited talk at the International Workshop DICE2002 \"Decoherence, Information, Complexity and Entropy\" - Piombino (Tuscany), September 2-6, 2002", "categories": [ "cond-mat.stat-mech", "hep-th", "math-ph", "math.MP", "quant-ph" ], "abstract": "We present a discussion of generalized statistics based on Renyi's, Fisher's and Tsallis's measures of information. The unifying conceptual framework which we employ here is provided by information theory. Important applications of generalized statistics to systems with (multi-)fractal structure are examined.", "revisions": [ { "version": "v1", "updated": "2003-01-20T09:02:16.000Z" } ], "analyses": { "keywords": [ "generalized statistics", "information theory", "fractal structure", "unifying conceptual framework", "important applications" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/978-3-540-40968-7_26", "journal": "Lecture Notes in Physics, Berlin Springer Verlag", "year": 2004, "volume": 633, "pages": 362 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 612213, "adsabs": "2004LNP...633..362J" } } }