{
  "id": "1512.08776",
  "version": "v1",
  "published": "2015-12-29T20:24:55.000Z",
  "updated": "2015-12-29T20:24:55.000Z",
  "title": "Royen's proof of the Gaussian correlation inequality",
  "authors": [
    "Rafał Latała",
    "Dariusz Matlak"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We present in detail Thomas Royen's proof of the Gaussian correlation inequality which states that $\\mu(K\\cap L)\\geq \\mu(K)\\mu(L)$ for any centered Gaussian measure $\\mu$ on $R^d$ and symmetric convex sets $K,L$ in $R^d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-29T20:24:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian correlation inequality",
      "symmetric convex sets",
      "thomas royens proof",
      "centered gaussian measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208776L"
    }
  }
}