{
  "id": "cond-mat/0307698",
  "version": "v2",
  "published": "2003-07-29T08:47:53.000Z",
  "updated": "2003-12-21T07:19:20.000Z",
  "title": "On observability of Renyi's entropy",
  "authors": [
    "Petr Jizba",
    "Toshihico Arimitsu"
  ],
  "comment": "18 pages, 1 EPS figure, REVTeX, minor changes, accepted to Phys. Rev. E",
  "journal": "Phys.Rev. E69 (2004) 026128",
  "doi": "10.1103/PhysRevE.69.026128",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies has zero measure (Bhattacharyya measure). In addition, we show the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up doubts regarding the observability of Renyi's entropy in (multi--)fractal systems and in systems with absolutely continuous PDF's.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-12-21T07:19:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renyis entropy",
      "observability",
      "instability",
      "renyi entropies",
      "popular belief"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 625086
    }
  }
}