{
  "id": "1502.07925",
  "version": "v1",
  "published": "2015-02-27T15:10:52.000Z",
  "updated": "2015-02-27T15:10:52.000Z",
  "title": "Multilinearity of two-point correlation functions in one-dimensional models out of equilibrium",
  "authors": [
    "Frank Redig",
    "Wioletta Ruszel"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this note we consider non-equilibrium steady states of one-dimensional models of heat conduction (wealth exchange) which are coupled to some reservoirs creating currents. In particular we will give sufficient and necessary conditions which will depend only on the first two moments of the reservoir measures and the redistribution parameter under which the two-point functions are multilinear. This presents the first example of multilinear two-point functions in the absence of product stationary measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-27T15:10:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-point correlation functions",
      "one-dimensional models",
      "multilinearity",
      "product stationary measures",
      "non-equilibrium steady states"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/48/22/225002",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2015,
      "month": "Jun",
      "volume": 48,
      "number": 22,
      "pages": 225002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JPhA...48v5002R"
    }
  }
}