{
  "id": "2301.01910",
  "version": "v1",
  "published": "2023-01-05T04:46:44.000Z",
  "updated": "2023-01-05T04:46:44.000Z",
  "title": "Differentiability of the largest Lyapunov exponent for planar open billiards",
  "authors": [
    "Amal Al Dowais"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we estimate the largest Lyapunov exponent for open billiards in the plane. We show that the largest Lyapunov exponent is differentiable with respect to a billiard deformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-05T04:46:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50",
      "37B10",
      "37D20",
      "34D08"
    ],
    "keywords": [
      "largest lyapunov exponent",
      "planar open billiards",
      "differentiability",
      "billiard deformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}