{
  "id": "math/0410231",
  "version": "v1",
  "published": "2004-10-08T15:56:31.000Z",
  "updated": "2004-10-08T15:56:31.000Z",
  "title": "The Lorenz attractor is mixing",
  "authors": [
    "Stefano Luzzatto",
    "Ian Melbourne",
    "Frederic Paccaut"
  ],
  "journal": "Communications in Mathematical Physics 260 (2005), no. 2, 393-401",
  "doi": "10.1007/s00220-005-1411-9",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows to be mixing. As a consequence, we show that the classical Lorenz attractor is mixing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-08T15:56:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50",
      "37A25"
    ],
    "keywords": [
      "geometric lorenz flows",
      "classical lorenz attractor",
      "afraimovic",
      "verifiable condition",
      "consequence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}