{
  "id": "1301.5724",
  "version": "v1",
  "published": "2013-01-24T07:50:25.000Z",
  "updated": "2013-01-24T07:50:25.000Z",
  "title": "On classification of measurable functions of several variables",
  "authors": [
    "A. Vershik"
  ],
  "comment": "17 p; J.Math.Sci.V.190 #3 (2013)",
  "categories": [
    "math.DS"
  ],
  "abstract": "We define a normal form (called the canonical image) of an arbitrary measurable function of several variables with respect to a natural group of transformations; describe a new complete system of invariants of such a function (the system of joint distributions); and relate these notions to the matrix distribution, another invariant of measurable functions found earlier, which is a random matrix. Bibliography: 7 titles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-24T07:50:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28D05",
      "37A15"
    ],
    "keywords": [
      "classification",
      "normal form",
      "natural group",
      "arbitrary measurable function",
      "random matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5724V"
    }
  }
}