{
  "id": "2408.01238",
  "version": "v1",
  "published": "2024-08-02T12:58:02.000Z",
  "updated": "2024-08-02T12:58:02.000Z",
  "title": "A quantitative central limit theorem for the simple symmetric exclusion process",
  "authors": [
    "Benjamin Gess",
    "Vitalii Konarovskyi"
  ],
  "comment": "67 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is based on a comparison of the generators of the density fluctuation field of the SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-02T12:58:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60F05",
      "60J25",
      "60H15"
    ],
    "keywords": [
      "simple symmetric exclusion process",
      "quantitative central limit theorem",
      "initial particle fluctuations",
      "infinite-dimensional berry-essen bound",
      "dimensional discrete torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 67,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}