{
  "id": "0902.1026",
  "version": "v3",
  "published": "2009-02-06T08:51:22.000Z",
  "updated": "2009-06-07T13:04:16.000Z",
  "title": "Transience/Recurrence and the speed of a one-dimensional random walk in a \"have your cookie and eat it\" environment",
  "authors": [
    "Ross Pinsky"
  ],
  "comment": "This version adds a monotonicity result which was missing from the previous version",
  "categories": [
    "math.PR"
  ],
  "abstract": "Consider a simple random walk on the integers with the following transition mechanism. At each site $x$, the probability of jumping to the right is $\\omega(x)\\in[\\frac12,1)$, until the first time the process jumps to the left from site $x$, from which time onward the probability of jumping to the right is $\\frac12$. We investigate the transience/recurrence properties of this process in both deterministic and stationary, ergodic environments $\\{\\omega(x)\\}_{x\\in Z}$. In deterministic environments, we also study the speed of the process.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-07T13:04:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60K37",
      "60G42"
    ],
    "keywords": [
      "one-dimensional random walk",
      "simple random walk",
      "ergodic environments",
      "transition mechanism",
      "transience/recurrence properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010AnIHP..46..949P"
    }
  }
}