{
  "id": "1210.7012",
  "version": "v2",
  "published": "2012-10-25T22:17:29.000Z",
  "updated": "2012-12-03T20:44:16.000Z",
  "title": "A central limit theorem for projections of the cube",
  "authors": [
    "Grigoris Paouris",
    "Peter Pivovarov",
    "Joel Zinn"
  ],
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "We prove a central limit theorem for the volume of projections of the N-cube onto a random subspace of dimension n, when n is fixed and N tends to infinity. Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-03T20:44:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central limit theorem",
      "projections",
      "random subspace",
      "haar measure",
      "grassmannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.7012P"
    }
  }
}