{
  "id": "1203.4078",
  "version": "v1",
  "published": "2012-03-19T11:08:07.000Z",
  "updated": "2012-03-19T11:08:07.000Z",
  "title": "Biased random walk on critical Galton-Watson trees conditioned to survive",
  "authors": [
    "David A. Croydon",
    "Alexander Fribergh",
    "Takashi Kumagai"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the biased random walk on a critical Galton-Watson tree conditioned to survive, and confirm that this model with trapping belongs to the same universality class as certain one-dimensional trapping models with slowly-varying tails. Indeed, in each of these two settings, we establish closely-related functional limit theorems involving an extremal process and also demonstrate extremal aging occurs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-19T11:08:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biased random walk",
      "critical galton-watson trees",
      "demonstrate extremal aging occurs",
      "establish closely-related functional limit theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4078C"
    }
  }
}