{
  "id": "1705.04787",
  "version": "v1",
  "published": "2017-05-13T04:24:03.000Z",
  "updated": "2017-05-13T04:24:03.000Z",
  "title": "A hierarchical renormalization model: some properties and open questions",
  "authors": [
    "Xinxing Chen",
    "Bernard Derrida",
    "Yueyun Hu",
    "Mikhail Lifshits",
    "Zhan Shi"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a simple hierarchical renormalization model which was introduced in the study of depinning transition in presence of strong disorder, by Derrida and Retaux. Our interest is focused on the critical regime, for which we study the extinction probability, the first moment and the moment generating function. Several stronger assertions are stated as conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-13T04:24:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "82B20",
      "82B27"
    ],
    "keywords": [
      "open questions",
      "properties",
      "simple hierarchical renormalization model",
      "strong disorder",
      "stronger assertions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}