{
  "id": "1001.4907",
  "version": "v2",
  "published": "2010-01-27T11:10:27.000Z",
  "updated": "2010-02-03T10:55:06.000Z",
  "title": "Properties of hitting times for $G$-martingale",
  "authors": [
    "Yongsheng Song"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we consider the properties of hitting times for $G$-martingale and the stopped processes. We prove that the stopped processes for $G$-martingales are still $G$-martingales and that the hitting times for a class of $G$-martingales including $G$-Brownian motion are quasi-continuous. As an application, we improve the $G$-martingale representation theorems in [Song10].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-03T10:55:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hitting times",
      "properties",
      "stopped processes",
      "martingale representation theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4907S"
    }
  }
}