{
  "id": "1812.02513",
  "version": "v1",
  "published": "2018-12-06T13:21:21.000Z",
  "updated": "2018-12-06T13:21:21.000Z",
  "title": "Condensation for random variables conditioned by the value of their sum",
  "authors": [
    "Claude Godrèche"
  ],
  "comment": "29 pages, 6 figures",
  "categories": [
    "cond-mat.stat-mech",
    "math.PR"
  ],
  "abstract": "The problem of condensation for random variables conditioned by the value of their sum appears naturally in the study of urn models, random allocations, random maps, zero-range processes and mass transport models, to quote but a few. Though much is known, the question of the quantitative comparison between asymptotic estimates and finite-size results has been left unexplored. The present work is an endeavour to make some progress in this direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-06T13:21:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random variables",
      "condensation",
      "mass transport models",
      "asymptotic estimates",
      "random maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}