{
  "id": "0811.4532",
  "version": "v2",
  "published": "2008-11-27T13:09:08.000Z",
  "updated": "2011-01-30T18:19:25.000Z",
  "title": "Invariant elliptic curves as attractors in the projective plane",
  "authors": [
    "Johan Taflin"
  ],
  "doi": "10.1007/s12220-009-9104-9",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be a rational self-map of P^2 which leaves invariant an elliptic curve C with strictly negative transverse Lyapunov exponent. We show that C is an attractor, i.e. it possesses a dense orbit and its basin is of strictly positive measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-30T18:19:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H50",
      "37D50",
      "37B25"
    ],
    "keywords": [
      "invariant elliptic curves",
      "projective plane",
      "strictly negative transverse lyapunov exponent",
      "leaves invariant",
      "dense orbit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.4532T"
    }
  }
}