{
  "id": "math/0411018",
  "version": "v1",
  "published": "2004-10-31T23:48:39.000Z",
  "updated": "2004-10-31T23:48:39.000Z",
  "title": "A sharp isoperimetric bound for convex bodies",
  "authors": [
    "Ravi Montenegro"
  ],
  "journal": "Israel Journal of Mathematics, volume 153, pp. 267-284, 2006",
  "categories": [
    "math.FA",
    "math.MG",
    "math.PR"
  ],
  "abstract": "We consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound is given in terms of diameter and set size, which is sharp for all set sizes, dimensions, and norms. In the case of uniform density a stronger theorem is shown which is also sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-31T23:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40"
    ],
    "keywords": [
      "sharp isoperimetric bound",
      "convex body",
      "set size",
      "log-concave probability measure",
      "uniform density"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11018M"
    }
  }
}