{
  "id": "0911.5000",
  "version": "v4",
  "published": "2009-11-26T02:41:47.000Z",
  "updated": "2010-10-28T08:03:12.000Z",
  "title": "Dolgopyat type estimates for pinched open billiard flows (Revised)",
  "authors": [
    "Luchezar Stoyanov"
  ],
  "categories": [
    "math.DS",
    "math.SP"
  ],
  "abstract": "In this paper we consider open billiard flows in Euclidean spaces with C^1 (un)stable laminations over their non-wandering sets. We show that for such billiard flows the standard symplectic form satisfies a specific non-degeneracy condition over the non-wandering set. This allows to use some previous general results and obtain Dolgopyat type estimates for spectra of Ruelle transfer operators under simpler conditions. We also describe a class of open billiard flows in Euclidean spaces satisfying a certain pinching condition, which in turn implies that the (un)stable laminations over the non-wandering set are C^1.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-10-28T08:03:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Dxx",
      "35Pxx"
    ],
    "keywords": [
      "dolgopyat type estimates",
      "pinched open billiard flows",
      "non-wandering set",
      "euclidean spaces",
      "standard symplectic form satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.5000S"
    }
  }
}