{
  "id": "0707.2353",
  "version": "v2",
  "published": "2007-07-16T16:40:59.000Z",
  "updated": "2007-11-08T12:36:00.000Z",
  "title": "Another proof for the equivalence between invariance of closed sets with respect to stochastic and deterministic systems",
  "authors": [
    "Rainer Buckdahn",
    "Marc Quincampoix",
    "Catherine Rainer",
    "Josef Teichmann"
  ],
  "comment": "revised version for publication in Bulletin des Sciences Mathematiques",
  "categories": [
    "math.OC",
    "math.PR"
  ],
  "abstract": "We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that -- under minimal assumptions -- a closed set is invariant with respect to a stochastic control system if and only if it is invariant with respect to the (associated) deterministic control system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-08T12:36:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93E03",
      "60H10"
    ],
    "keywords": [
      "closed set",
      "deterministic systems",
      "invariance",
      "equivalence",
      "deterministic control system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2353B"
    }
  }
}