{
  "id": "1606.02399",
  "version": "v1",
  "published": "2016-06-08T05:12:37.000Z",
  "updated": "2016-06-08T05:12:37.000Z",
  "title": "Diophantine approximation on subspaces of $\\mathbb{R}^n$ and dynamics on homogeneous spaces",
  "authors": [
    "Anish Ghosh"
  ],
  "comment": "Survey article. To appear in the Handbook of Group Actions Vol III/IV, Editors Lizhen Ji, Athanase Papadopoulos, Shing-Tung Yau",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "In recent years, the ergodic theory of group actions on homogeneous spaces has played a significant role in the metric theory of Diophantine approximation. We survey some recent developments with special emphasis on Diophantine properties of affine subspaces and their submanifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-08T05:12:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine approximation",
      "homogeneous spaces",
      "affine subspaces",
      "group actions",
      "ergodic theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}