{
  "id": "1412.1242",
  "version": "v1",
  "published": "2014-12-03T09:22:08.000Z",
  "updated": "2014-12-03T09:22:08.000Z",
  "title": "A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory",
  "authors": [
    "Zemer Kosloff"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that there exists a universal gap in the failure of the ergodic theorem for symmetric Birkhoff sums in infinite ergodic theory. In addition, an application of this result to a question of fluctuations of the Birkhoff integrals of horocyclic flows on geometrically finite surfaces is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-03T09:22:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A30",
      "37A17",
      "37D40"
    ],
    "keywords": [
      "symmetric birkhoff sums",
      "infinite ergodic theory",
      "universal divergence rate",
      "universal gap",
      "ergodic theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.1242K"
    }
  }
}