{
  "id": "math/0612253",
  "version": "v1",
  "published": "2006-12-10T13:55:58.000Z",
  "updated": "2006-12-10T13:55:58.000Z",
  "title": "A functional limit theorem for the position of a particle in a Lorentz type model",
  "authors": [
    "Vladislav Vysotsky"
  ],
  "comment": "19 pages, uses texdraw.sty",
  "categories": [
    "math.PR"
  ],
  "abstract": "Consider a particle moving through a random medium, which consists of spherical obstacles, randomly distributed in R^d. The particle is accelerated by a constant external field; when colliding with an obstacle, the particle inelastically reflects. We study the asymptotics of X(t), which denotes the position of the particle at time t, as t tends to infinity. The result is a functional limit theorem for X(t).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-10T13:55:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37"
    ],
    "keywords": [
      "functional limit theorem",
      "lorentz type model",
      "constant external field",
      "random medium",
      "particle inelastically reflects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12253V"
    }
  }
}