{
  "id": "math/0210301",
  "version": "v1",
  "published": "2002-10-18T21:32:21.000Z",
  "updated": "2002-10-18T21:32:21.000Z",
  "title": "Some applications of homogeneous dynamics to number theory",
  "authors": [
    "Dmitry Kleinbock"
  ],
  "comment": "23 pages",
  "journal": "in: Smooth ergodic theory and its applications, Proc. Sympos. Pure Math. 69, AMS, Providence, RI, 2001, 639--660",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "This survey paper is not a complete reference guide to number-theoretical applications of ergodic theory. Instead, it considers an approach to a class of problems involving Diophantine properties of $n$-tuples of real numbers, namely, describes a specific dynamical system which is naturally connected with these problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-18T21:32:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17"
    ],
    "keywords": [
      "number theory",
      "homogeneous dynamics",
      "applications",
      "complete reference guide",
      "survey paper"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10301K"
    }
  }
}