{
  "id": "2011.04824",
  "version": "v1",
  "published": "2020-11-09T23:19:44.000Z",
  "updated": "2020-11-09T23:19:44.000Z",
  "title": "Attractors of direct products",
  "authors": [
    "Stanislav Minkov",
    "Ivan Shilin"
  ],
  "comment": "29 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\\varphi$ is smaller than the Cartesian square of the attractor of $\\varphi$. In the example for the minimal attractors, the flow $\\varphi$ also has an SRB-measure such that its square does not coincide with an SRB-measure of the square of $\\varphi$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-09T23:19:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct products",
      "minimal attractors",
      "cartesian square",
      "construct examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}