{
  "id": "1105.3542",
  "version": "v1",
  "published": "2011-05-18T06:18:57.000Z",
  "updated": "2011-05-18T06:18:57.000Z",
  "title": "On sumsets of convex sets",
  "authors": [
    "Tomasz Schoen",
    "Ilya D. Shkredov"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i - a_{i-1} for all i. We prove, in particular, that |A-A| \\gg |A|^{8/5} \\log{-2/5} |A|.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-18T06:18:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3542S"
    }
  }
}