{
  "id": "math/0501189",
  "version": "v1",
  "published": "2005-01-12T19:27:12.000Z",
  "updated": "2005-01-12T19:27:12.000Z",
  "title": "Estimates of random walk exit probabilities and application to loop-erased random walk",
  "authors": [
    "Michael J. Kozdron",
    "Gregory F. Lawler"
  ],
  "comment": "26 pages, 0 figures",
  "journal": "Electron. J. Probab., volume 10, paper 44, pages 1442-1467, 2005",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove an estimate for the probability that a simple random walk in a simply connected subset A of Z^2 starting on the boundary exits A at another specified boundary point. The estimates are uniform over all domains of a given inradius. We apply these estimates to prove a conjecture of S. Fomin in 2001 concerning a relationship between crossing probabilities of loop-erased random walk and Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-12T19:27:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F99",
      "60G50",
      "60J45",
      "60J65"
    ],
    "keywords": [
      "random walk exit probabilities",
      "loop-erased random walk",
      "probability",
      "application",
      "simple random walk"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1189K"
    }
  }
}