{
  "id": "2203.00785",
  "version": "v1",
  "published": "2022-03-01T22:59:05.000Z",
  "updated": "2022-03-01T22:59:05.000Z",
  "title": "Back to Boundaries in Billiards",
  "authors": [
    "Leonid Bunimovich",
    "Yaofeng Su"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-01T22:59:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundaries",
      "poisson limit laws",
      "open billiards",
      "slow decay",
      "billiard tables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}