{
  "id": "1309.0345",
  "version": "v1",
  "published": "2013-09-02T10:04:28.000Z",
  "updated": "2013-09-02T10:04:28.000Z",
  "title": "Ergodic theorems for polynomials in nilpotent groups",
  "authors": [
    "Pavel Zorin-Kranich"
  ],
  "comment": "PhD thesis, University of Amsterdam, xi+146 pages. Based on arXiv:1111.7292, arXiv:1206.0287, arXiv:1208.3977, arXiv:1210.5202, arXiv:1301.1884",
  "categories": [
    "math.DS"
  ],
  "abstract": "The principal results proved in this expository thesis are the IP polynomial Szemer\\'edi theorem for nilpotent groups and the multiple term return times theorem with nilsequence weights. It also contains extensions of the convergence theorem for nilpotent polynomial multiple ergodic averages and the return times theorem to locally compact second countable amenable groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-02T10:04:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30"
    ],
    "keywords": [
      "nilpotent groups",
      "ergodic theorems",
      "second countable amenable groups",
      "multiple term return times theorem",
      "compact second countable amenable"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 146,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0345Z"
    }
  }
}