{
  "id": "1312.3608",
  "version": "v1",
  "published": "2013-12-12T20:12:36.000Z",
  "updated": "2013-12-12T20:12:36.000Z",
  "title": "A remark on the diameter of random sections of convex bodies",
  "authors": [
    "Shahar Mendelson"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-12T20:12:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex body",
      "random sections",
      "relatively general matrix ensembles",
      "upper estimate",
      "euclidean diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3608M"
    }
  }
}