{
  "id": "1011.5686",
  "version": "v1",
  "published": "2010-11-25T20:38:33.000Z",
  "updated": "2010-11-25T20:38:33.000Z",
  "title": "A quenched large deviation principle and a Parisi formula for a Perceptron version of the GREM",
  "authors": [
    "E. Bolthausen",
    "N. Kistler"
  ],
  "comment": "Dedicated to Juergen Gaertner on the occasion of his 60th birthday",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce a perceptron version of the Generalized Random Energy Model, and prove a quenched Sanov type large deviation principle for the empirical distribution of the random energies. The dual of the rate function has a representation through a variational formula which is closely related to the Parisi variational formula for the SK-model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-25T20:38:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quenched large deviation principle",
      "perceptron version",
      "parisi formula",
      "sanov type large deviation principle",
      "random energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.5686B"
    }
  }
}