{
  "id": "1212.5574",
  "version": "v1",
  "published": "2012-12-21T19:59:46.000Z",
  "updated": "2012-12-21T19:59:46.000Z",
  "title": "Limit theorems for translation flows (published version)",
  "authors": [
    "Alexander I. Bufetov"
  ],
  "comment": "The results of this paper are already contained in the preprint arXiv:0804.3970. The exposition here is different: instead of general Markov compacta, Veech's zippered rectangles are used. 69 pages, 3 figures; Annals of Mathematics, 2012, online at http://annals.math.princeton.edu/articles/7111",
  "journal": "Annals of Mathematics. 2014. Vol. 179. No. 2. P. 431-499",
  "categories": [
    "math.DS",
    "math.CV",
    "math.PR"
  ],
  "abstract": "The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus (Theorem 1) and to give a limit theorem for these flows (Theorem 2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-21T19:59:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A50",
      "37E35",
      "37B10",
      "30F60",
      "37D25",
      "28D10"
    ],
    "keywords": [
      "limit theorem",
      "translation flows",
      "published version",
      "asymptotic expansion",
      "ergodic integrals"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 69,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.5574B"
    }
  }
}