{
  "id": "1111.6193",
  "version": "v2",
  "published": "2011-11-26T21:04:36.000Z",
  "updated": "2012-05-03T19:33:57.000Z",
  "title": "Lorentz Process with shrinking holes in a wall",
  "authors": [
    "Peter Nandori",
    "Domokos Szasz"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-03T19:33:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.45.-a",
      "02.50.Ga",
      "05.40.Jc"
    ],
    "keywords": [
      "shrinking holes",
      "periodic lorentz process",
      "local time results",
      "independent interest",
      "strong markovian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4717521",
      "journal": "Chaos",
      "year": 2012,
      "month": "Jun",
      "volume": 22,
      "number": 2,
      "pages": "026115"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012Chaos..22b6115N"
    }
  }
}