{
  "id": "1003.3726",
  "version": "v2",
  "published": "2010-03-19T06:56:31.000Z",
  "updated": "2011-01-17T13:26:21.000Z",
  "title": "Escape probabilities for branching Brownian motion among mild obstacles",
  "authors": [
    "Jean-Francois Le Gall",
    "Amandine Veber"
  ],
  "comment": "24 pages, to appear in Journal of Theoretical Probability",
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive asymptotics for the quenched probability that a critical branching Brownian motion killed at a small rate in Poissonian obstacles exits a large domain. Results are formulated in terms of the solution to a semilinear partial differential equation with singular boundary conditions. The proofs depend on a quenched homogenization theorem for branching Brownian motion among mild obstacles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-17T13:26:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60J80",
      "60J68"
    ],
    "keywords": [
      "mild obstacles",
      "escape probabilities",
      "branching brownian motion",
      "probability",
      "semilinear partial differential equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.3726L"
    }
  }
}