{
  "id": "1105.6038",
  "version": "v1",
  "published": "2011-05-30T16:44:45.000Z",
  "updated": "2011-05-30T16:44:45.000Z",
  "title": "A deletion-invariance property for random measures satisfying the Ghirlanda-Guerra identities",
  "authors": [
    "Dmitry Panchenko"
  ],
  "journal": "C. R. Acad. Sci. Paris, Ser. I 349 (2011) 579-581",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that if a discrete random measure on the unit ball of a separable Hilbert space satisfies the Ghirlanda-Guerra identities then by randomly deleting half of the points and renormalizing the weights of the remaining points we obtain the same random measure in distribution up to rotations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-30T16:44:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B44"
    ],
    "keywords": [
      "ghirlanda-guerra identities",
      "random measures satisfying",
      "deletion-invariance property",
      "discrete random measure",
      "separable hilbert space satisfies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.6038P"
    }
  }
}