{
  "id": "1203.4990",
  "version": "v1",
  "published": "2012-03-22T13:57:34.000Z",
  "updated": "2012-03-22T13:57:34.000Z",
  "title": "On hyperbolicity of minimizers for 1D random Lagrangian systems",
  "authors": [
    "Alexandre Boritchev",
    "Konstantin Khanin"
  ],
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "We prove hyperbolicity of global minimizers for random Lagrangian systems in dimension 1. The proof considerably simplifies a related result in [2]. The conditions for hyperbolicity are almost optimal: they are essentially the same as conditions for uniqueness of a global minimizer in [3].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-22T13:57:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "1d random lagrangian systems",
      "hyperbolicity",
      "global minimizer",
      "proof considerably simplifies",
      "conditions"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/26/1/65",
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Jan",
      "volume": 26,
      "number": 1,
      "pages": 65
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26...65B"
    }
  }
}