{
  "id": "1511.08649",
  "version": "v1",
  "published": "2015-11-27T12:46:47.000Z",
  "updated": "2015-11-27T12:46:47.000Z",
  "title": "A note on reversibility and Pell equations",
  "authors": [
    "Mario Bessa",
    "Maria Carvalho",
    "Alexandre Rodrigues"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1402.0070",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. We will prove that within this context reversibility is linked to a generalized Pell equation whose solutions we will analyze. Additionally, we will verify to what extent reversibility is a common feature and characterize the generic setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-27T12:46:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic toral automorphisms",
      "linear area-preserving involution",
      "context reversibility",
      "generalized pell equation",
      "extent reversibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}