{
  "id": "1210.3884",
  "version": "v1",
  "published": "2012-10-15T03:31:30.000Z",
  "updated": "2012-10-15T03:31:30.000Z",
  "title": "Continuous averaging proof of the Nekhoroshev theorem",
  "authors": [
    "Jinxin Xue"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhoroshev theorem. We obtain a sharp normal form theorem and an explicit estimate of the stability constants appearing in the Nekhoroshev theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-15T03:31:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nekhoroshev theorem",
      "continuous averaging proof",
      "sharp normal form theorem",
      "stability constants",
      "explicit estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3884X"
    }
  }
}