{
  "id": "2005.05827",
  "version": "v1",
  "published": "2020-05-12T14:41:58.000Z",
  "updated": "2020-05-12T14:41:58.000Z",
  "title": "A CLT for dependent random variables, with an application to an infinite system of interacting diffusion processes",
  "authors": [
    "Le Chen",
    "Davar Khoshnevisan",
    "David Nualart",
    "Fei Pu"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We present a central limit theorem for stationary random fields that are short-range dependent and asymptotically independent. As an application, we present a central limit theorem for an infinite family of interacting It\\^o-type diffusion processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-12T14:41:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dependent random variables",
      "interacting diffusion processes",
      "infinite system",
      "central limit theorem",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}