{
  "id": "0904.3240",
  "version": "v2",
  "published": "2009-04-21T12:51:28.000Z",
  "updated": "2010-09-07T09:08:00.000Z",
  "title": "Weak Solutions of stochastic recursions: an explicit construction",
  "authors": [
    "Pascal Moyal"
  ],
  "comment": "This paper has been withdrawn by the author. This paper has been posted on ArXiv in a newer version",
  "categories": [
    "math.PR"
  ],
  "abstract": "We propose an explicit construction of the solution of a stationary stochastic recursion of the form $X\\circ\\theta=\\phi(X)$ on a semi-ordered Polish space, when the monotonicity of $\\phi$ is not assumed. This solution exists on an enriched probability space (it is said \\emph{weak}), provided the recursion is lattice-valued, and dominated by a proper monotonic stochastic recursion.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-07T09:08:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "explicit construction",
      "weak solutions",
      "proper monotonic stochastic recursion",
      "stationary stochastic recursion",
      "enriched probability space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3240M"
    }
  }
}