{
  "id": "2312.14581",
  "version": "v1",
  "published": "2023-12-22T10:17:25.000Z",
  "updated": "2023-12-22T10:17:25.000Z",
  "title": "Local limit theorems for hitting times and return times of small sets",
  "authors": [
    "Max Auer",
    "Roland Zweimüller"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamical systems, including versions for tuples of consecutive times and positions of the hits. These results are shown to apply in the setup of Gibbs-Markov systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-22T10:17:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "60G10",
      "60F05",
      "37E05"
    ],
    "keywords": [
      "hitting times",
      "return times",
      "small sets",
      "establish abstract local limit theorems",
      "ergodic probability preserving dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}