{
  "id": "math/0507429",
  "version": "v2",
  "published": "2005-07-21T08:52:44.000Z",
  "updated": "2005-12-22T09:27:20.000Z",
  "title": "An introduction to joinings in ergodic theory",
  "authors": [
    "Thierry De La Rue"
  ],
  "journal": "Discrete and Continuous Dynamical Systems 15, n?1 (2006) 121-142",
  "categories": [
    "math.DS"
  ],
  "abstract": "Since their introduction by Furstenberg in 1967, joinings have proved a very powerful tool in ergodic theory. We present here some aspects of the use of joinings in the study of measurable dynamical systems, emphasizing on - the links between the existence of a non trivial common factor and the existence of a joining which is not the product measure, - how joinings can be employed to provide elegant proofs of classical results, - how joinings are involved in important questions of ergodic theory, such as pointwise convergence or Rohlin's multiple mixing problem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-22T09:27:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35"
    ],
    "keywords": [
      "ergodic theory",
      "introduction",
      "non trivial common factor",
      "rohlins multiple mixing problem",
      "product measure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7429D"
    }
  }
}