{
  "id": "0911.3895",
  "version": "v1",
  "published": "2009-11-19T21:20:08.000Z",
  "updated": "2009-11-19T21:20:08.000Z",
  "title": "Strong approximations in a charged-polymer model",
  "authors": [
    "Yueyun Hu",
    "Davar Khoshnevisan"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the large-time behavior of the charged-polymer Hamiltonian $H_n$ of Kantor and Kardar [Bernoulli case] and Derrida, Griffiths, and Higgs [Gaussian case], using strong approximations to Brownian motion. Our results imply, among other things, that in one dimension the process $\\{H_{[nt]}\\}_{0\\le t\\le 1}$ behaves like a Brownian motion, time-changed by the intersection local-time process of an independent Brownian motion. Chung-type LILs are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-19T21:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37"
    ],
    "keywords": [
      "strong approximations",
      "charged-polymer model",
      "intersection local-time process",
      "independent brownian motion",
      "charged-polymer hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3895H"
    }
  }
}