{
  "id": "2411.15377",
  "version": "v1",
  "published": "2024-11-22T23:35:46.000Z",
  "updated": "2024-11-22T23:35:46.000Z",
  "title": "P-adic numbers and kernels",
  "authors": [
    "Simone Franchini"
  ],
  "comment": "17 pages, 6 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We discuss the relation between p-adic numbers and kernels in view of a recent large deviation theory for mean-field spin glasses. As an application we show several fundamental properties of numerical bases in kernel language. In particular, we show that the Derrida's Generalized Random Energy Model is a perfectly legitimate (random) numerical base.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-22T23:35:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Z05",
      "G.2.1"
    ],
    "keywords": [
      "p-adic numbers",
      "derridas generalized random energy model",
      "mean-field spin glasses",
      "large deviation theory",
      "numerical base"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}