{
  "id": "1908.03777",
  "version": "v1",
  "published": "2019-08-10T16:29:06.000Z",
  "updated": "2019-08-10T16:29:06.000Z",
  "title": "On the quenched functional CLT in 2d random sceneries, examples",
  "authors": [
    "Guy Cohen",
    "Jean-Pierre Conze"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a quenched functional central limit theorem (quenched FCLT) for the sums of a random field (r.f.) along a 2d-random walk in different situations: when the r.f. is iid with a second order moment (random sceneries), or when it is generated by the action of commuting automorphisms of a torus. We consider also a quenched version of the FCLT when the random walk is replaced by a Lorentz process in the random scenery.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-10T16:29:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "28D05",
      "22D40",
      "60G50",
      "47B15",
      "37A25",
      "37A30"
    ],
    "keywords": [
      "random scenery",
      "2d random sceneries",
      "quenched functional clt",
      "quenched functional central limit theorem",
      "second order moment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}