{
  "id": "0810.0572",
  "version": "v1",
  "published": "2008-10-03T05:47:45.000Z",
  "updated": "2008-10-03T05:47:45.000Z",
  "title": "Intersection exponents for biased random walks on discrete cylinders",
  "authors": [
    "Brigitta Vermesi"
  ],
  "comment": "34 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove existence of intersection exponents xi(k,lambda) for biased random walks on d-dimensional half-infinite discrete cylinders, and show that, as functions of lambda, these exponents are real analytic. As part of the argument, we prove convergence to stationarity of a time-inhomogeneous Markov chain on half-infinite random paths. Furthermore, we show this convergence takes place at exponential rate, an estimate obtained via a coupling of weighted half-infinite paths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-03T05:47:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60K35",
      "82B41"
    ],
    "keywords": [
      "biased random walks",
      "d-dimensional half-infinite discrete cylinders",
      "intersection exponents xi",
      "half-infinite random paths",
      "weighted half-infinite paths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0572V"
    }
  }
}