{
  "id": "1309.2336",
  "version": "v2",
  "published": "2013-09-09T22:23:07.000Z",
  "updated": "2014-08-24T15:22:31.000Z",
  "title": "On Higher-Dimensional Oscillation in Ergodic Theory",
  "authors": [
    "Ben Krause"
  ],
  "comment": "34 pages",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We extend the results of Jones, Rosenblatt, and Wierdl concerning higher-dimensional oscillation in ergodic theory in a variety of ways. We do so by transference to the integer lattice, where we employ technique from (discrete) harmonic analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-09T22:23:07.000Z",
      "comment": "32 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-24T15:22:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ergodic theory",
      "wierdl concerning higher-dimensional oscillation",
      "integer lattice",
      "employ technique",
      "harmonic analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.2336K"
    }
  }
}