{
  "id": "0705.0033",
  "version": "v3",
  "published": "2007-04-30T22:32:29.000Z",
  "updated": "2019-11-04T08:58:03.000Z",
  "title": "Ergodic Theory: Recurrence",
  "authors": [
    "Nikos Frantzikinakis",
    "Randall McCutcheon"
  ],
  "comment": "Revised version. To appear in the Encyclopedia of Complexity and System Science",
  "categories": [
    "math.DS"
  ],
  "abstract": "We survey the impact of the Poincar\\'e recurrence principle in ergodic theory, especially as pertains to the field of ergodic Ramsey theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-25T14:38:23.000Z",
      "comment": "Final version. To appear in the Encyclopedia of Complexity and System Science",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2019-11-04T08:58:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A99",
      "28D05"
    ],
    "keywords": [
      "ergodic theory",
      "ergodic ramsey theory",
      "poincare recurrence principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.0033F"
    }
  }
}