{
  "id": "1204.1895",
  "version": "v2",
  "published": "2012-04-09T15:09:23.000Z",
  "updated": "2012-10-08T23:42:26.000Z",
  "title": "Excited random walks: results, methods, open problems",
  "authors": [
    "Elena Kosygina",
    "Martin P. W. Zerner"
  ],
  "comment": "37 pages, 4 figures; minor revision",
  "journal": "Bull. Inst. Math. Acad. Sin. (N.S.) (2013) 8 no. 1, 105-157",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the d-dimensional integer lattice. The main purpose of this paper is two-fold: to give a survey of known results and some of the methods and to present several new results. The latter include functional limit theorems for transient one-dimensional excited random walks in bounded i.i.d. cookie environments as well as some zero-one laws. Several open problems are stated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-08T23:42:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37",
      "60J80"
    ],
    "keywords": [
      "open problems",
      "transient one-dimensional excited random walks",
      "functional limit theorems",
      "d-dimensional integer lattice",
      "main purpose"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.1895K"
    }
  }
}