{
  "id": "1408.0833",
  "version": "v1",
  "published": "2014-08-04T22:48:02.000Z",
  "updated": "2014-08-04T22:48:02.000Z",
  "title": "A temporal perspective on the rate of convergence in first-passage percolation under a moment condition",
  "authors": [
    "Daniel Ahlberg"
  ],
  "comment": "4 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the rate of convergence in the Shape Theorem of first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations under a moment condition. Our results are stated for a given time and complements recent work by the same author, in which the rate of convergence was studied from the standard spatial perspective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-04T22:48:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "first-passage percolation",
      "moment condition",
      "convergence",
      "temporal perspective",
      "precise asymptotic rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.0833A"
    }
  }
}