{
  "id": "1805.07655",
  "version": "v1",
  "published": "2018-05-19T21:08:08.000Z",
  "updated": "2018-05-19T21:08:08.000Z",
  "title": "Coboundaries of nonconventional ergodic averages",
  "authors": [
    "Idris Assani"
  ],
  "comment": "Results obtained during the 2017 ETDS workshop UNC-CH and presented during the 2018 UNC-CH ETDS workshop",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $(X,\\mathcal{A}, \\mu)$ be a probability measure space and let $T_i,$ $1\\leq i\\leq H,$ be invertible bi measurable measure preserving transformations on this measure space. We give a sufficient condition for the product of $H$ bounded functions $f_1, f_2, ..., f_H$ to be a coboundary. This condition turns out to be also necessary when one seeks bounded coboundaries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-19T21:08:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A30"
    ],
    "keywords": [
      "nonconventional ergodic averages",
      "coboundary",
      "bi measurable measure preserving transformations",
      "probability measure space",
      "invertible bi measurable measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}