{
  "id": "2208.03603",
  "version": "v1",
  "published": "2022-08-07T00:24:22.000Z",
  "updated": "2022-08-07T00:24:22.000Z",
  "title": "Maximal Large Deviations and Slow Recurrences in Weakly Chaotic Systems",
  "authors": [
    "Leonid A. Bunimovich",
    "Yaofeng Su"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a maximal-type large deviation principle for dynamical systems with arbitrarily slow polynomial mixing rates. Also several applications, particularly to billiard systems, are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-07T00:24:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal large deviations",
      "weakly chaotic systems",
      "slow recurrences",
      "maximal-type large deviation principle",
      "arbitrarily slow polynomial mixing rates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}