{
  "id": "1709.02860",
  "version": "v1",
  "published": "2017-09-08T21:02:24.000Z",
  "updated": "2017-09-08T21:02:24.000Z",
  "title": "On the tangent cones of Aubry sets",
  "authors": [
    "Ke Zhang"
  ],
  "comment": "12 pages. Submitted, will update later with final version",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the paratingent cone of the Aubry set of the Tonelli Hamiltonian is contained in a cone bounded by the Green bundles. Our result improves the earlier result of M.-C. Arnaud on tangent cones of the Aubry sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-08T21:02:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J50",
      "37J05"
    ],
    "keywords": [
      "aubry set",
      "tangent cones",
      "earlier result",
      "paratingent cone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}