{
  "id": "1706.08390",
  "version": "v1",
  "published": "2017-06-26T14:13:53.000Z",
  "updated": "2017-06-26T14:13:53.000Z",
  "title": "Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees",
  "authors": [
    "Assaf Shapira"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We analyze the metastable states near criticality of the bootstrap percolation on Galton-Watson trees. We find that, depending on the exact choice of the offspring distribution, it is possible to have several distinct metastable states, with varying scaling of their duration while approaching criticality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-26T14:13:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bootstrap percolation",
      "galton-watson trees",
      "metastable behavior",
      "distinct metastable states",
      "exact choice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}