{
  "id": "2201.10144",
  "version": "v1",
  "published": "2022-01-25T07:38:36.000Z",
  "updated": "2022-01-25T07:38:36.000Z",
  "title": "Deviation and concentration inequalities for dynamical systems with subexponential decay of correlation",
  "authors": [
    "C Cuny",
    "J Dedecker",
    "F Merlevède"
  ],
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations. In the large deviation regime, we also exhibit examples showing that the obtained upper bounds are essentially optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-25T07:38:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "concentration inequalities",
      "subexponential decay",
      "dynamical systems",
      "correlation",
      "moderate deviation estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}