{
  "id": "1501.02966",
  "version": "v1",
  "published": "2015-01-13T11:41:09.000Z",
  "updated": "2015-01-13T11:41:09.000Z",
  "title": "Some results and problems for anisotropic random walks on the plane",
  "authors": [
    "Endre Csáki",
    "Antónia Földes",
    "Pál Révész"
  ],
  "comment": "20 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "This is an expository paper on the asymptotic results concerning path behaviour of the anisotropic random walk on the two-dimensional square lattice Z^2. In recent years Mikl\\'os and the authors of the present paper investigated the properties of this random walk concerning strong approximations, local times and range. We give a survey of these results together with some further problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-13T11:41:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60G50"
    ],
    "keywords": [
      "anisotropic random walk",
      "asymptotic results concerning path behaviour",
      "random walk concerning strong approximations",
      "two-dimensional square lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}