{
  "id": "1201.6092",
  "version": "v2",
  "published": "2012-01-30T00:20:48.000Z",
  "updated": "2012-04-27T22:25:16.000Z",
  "title": "Limit theorems for self-similar tilings",
  "authors": [
    "Alexander I. Bufetov",
    "Boris Solomyak"
  ],
  "comment": "36 pages; some corrections and improved exposition, especially in Section 4; references added",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study deviation of ergodic averages for dynamical systems given by self-similar tilings on the plane and in higher dimensions. The main object of our paper is a special family of finitely-additive measures for our systems. An asymptotic formula is given for ergodic integrals in terms of these finitely-additive measures, and, as a corollary, limit theorems are obtained for dynamical systems given by self-similar tilings.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-27T22:25:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37B50",
      "37A50"
    ],
    "keywords": [
      "self-similar tilings",
      "limit theorems",
      "dynamical systems",
      "finitely-additive measures",
      "ergodic averages"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-012-1624-7",
      "journal": "Communications in Mathematical Physics",
      "year": 2013,
      "month": "May",
      "volume": 319,
      "number": 3,
      "pages": 761
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CMaPh.319..761B"
    }
  }
}