{
  "id": "1504.04776",
  "version": "v1",
  "published": "2015-04-18T23:20:30.000Z",
  "updated": "2015-04-18T23:20:30.000Z",
  "title": "Smoothness of Local Times and Self-Intersection Local Times of Gaussian Random Fields",
  "authors": [
    "Zhenlong Chen",
    "Dongsheng Wu",
    "Yimin Xiao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper is concerned with the smoothness (in the sense of Meyer-Watanabe) of the local times of Gaussian random fields. Sufficient and necessary conditions for the existence and smoothness of the local times, collision local times, and self-intersection local times are established for a large class of Gaussian random fields, including fractional Brownian motions, fractional Brownian sheets and solutions of stochastic heat equations driven by space-time Gaussian noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-18T23:20:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60H05",
      "60H07"
    ],
    "keywords": [
      "gaussian random fields",
      "self-intersection local times",
      "smoothness",
      "stochastic heat equations driven",
      "fractional brownian sheets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150404776C"
    }
  }
}