{
  "id": "1402.3512",
  "version": "v1",
  "published": "2014-02-14T16:06:35.000Z",
  "updated": "2014-02-14T16:06:35.000Z",
  "title": "Probability that n random points in a disk are in convex position",
  "authors": [
    "Jean-François Marckert"
  ],
  "categories": [
    "math.PR",
    "math.CO",
    "math.MG"
  ],
  "abstract": "In this paper we give a formula for the probability that $n$ random points chosen under the uniform distribution in a disk are in convex position. While close, the formula is recursive and is totally explicit only for the first values of $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-14T16:06:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A22",
      "60D05"
    ],
    "keywords": [
      "convex position",
      "probability",
      "random points chosen",
      "first values",
      "uniform distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3512M"
    }
  }
}