{
  "id": "2407.07499",
  "version": "v1",
  "published": "2024-07-10T09:33:26.000Z",
  "updated": "2024-07-10T09:33:26.000Z",
  "title": "On the origin of escort distributions for q-entropies",
  "authors": [
    "Nikolaos Kalogeropoulos"
  ],
  "comment": "10 pages. No figures. Standard LaTeX2e",
  "categories": [
    "cond-mat.stat-mech",
    "gr-qc",
    "hep-th",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "We present an argument about the origin of escort distributions used in conjunction with the q-entropy in non-additive thermo-statistics. The origin of the escort distributions is ascribed to the fact that the effective statistical description of the underlying system is provided by the measured Gromov-Hausdorff limit of a sequence of manifolds having a warped product metric structure. We interpret the entropic parameter \\ q \\ appearing in escort distributions as a \"dimension\" related to the fibration structure of the underlying phase spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-10T09:33:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "escort distributions",
      "warped product metric structure",
      "measured gromov-hausdorff limit",
      "entropic parameter",
      "fibration structure"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}