{
  "id": "1810.10760",
  "version": "v1",
  "published": "2018-10-25T08:23:04.000Z",
  "updated": "2018-10-25T08:23:04.000Z",
  "title": "Quenched normal approximation for random sequences of transformations",
  "authors": [
    "Olli Hella",
    "Mikko Stenlund"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We study random compositions of transformations having certain uniform fiberwise properties and prove bounds which in combination with other results yield a quenched central limit theorem equipped with a convergence rate, also in the multivariate case, assuming fiberwise centering. For the most part we work with non-stationary randomness and non-invariant, non-product measures. Independently, we believe our work sheds light on the mechanisms that make quenched central limit theorems work, by dissecting the problem into three separate parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-25T08:23:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "37A05",
      "37A50"
    ],
    "keywords": [
      "quenched normal approximation",
      "random sequences",
      "transformations",
      "quenched central limit theorems work",
      "work sheds light"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}