{
  "id": "1502.01047",
  "version": "v1",
  "published": "2015-02-03T21:44:55.000Z",
  "updated": "2015-02-03T21:44:55.000Z",
  "title": "Sharp estimates of Green function of hyperbolic Brownian Motion",
  "authors": [
    "Kamil Bogus",
    "Tomasz Byczkowski",
    "Jacek Malecki"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The main objective of the work is to provide sharp two-sided estimates of $\\lambda$-Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtained by K. Bogus and J. Malecki [3], regarding precise estimates of the Bessel heat kernel of half-lines.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-03T21:44:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60"
    ],
    "keywords": [
      "hyperbolic brownian motion",
      "green function",
      "sharp estimates",
      "bessel heat kernel",
      "sharp two-sided estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150201047B"
    }
  }
}