{
  "id": "1703.10218",
  "version": "v1",
  "published": "2017-03-29T19:59:36.000Z",
  "updated": "2017-03-29T19:59:36.000Z",
  "title": "Exponential convergence of solutions for random Hamilton-Jacobi equations",
  "authors": [
    "Renato Iturriaga",
    "Konstantin Khanin",
    "Ke Zhang"
  ],
  "comment": "28 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the unique stationary solution. Combined with the results in \\cite{IK03} and \\cite{KZ12}, this completes the program started in \\cite{EKMS00} for the multi-dimensional setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-29T19:59:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R60",
      "37J50",
      "37H99",
      "37L55",
      "37D25",
      "76F20"
    ],
    "keywords": [
      "random hamilton-jacobi equations",
      "exponential convergence",
      "initial value problem converges",
      "value problem converges exponentially fast",
      "unique stationary solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}