{
  "id": "0911.1429",
  "version": "v3",
  "published": "2009-11-07T15:50:30.000Z",
  "updated": "2010-07-15T10:55:12.000Z",
  "title": "A note on large deviations for the stable marriage of Poisson and Lebesgue with random appetites",
  "authors": [
    "Daniel Andreés Díaz Pachón"
  ],
  "comment": "18 pages. Several mistakes were corrected",
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $\\Xi\\subset\\mathbb R^d$ be a set of centers chosen according to a Poisson point process in $\\mathbb R^d$. Let $\\psi$ be an allocation of $\\mathbb R^d$ to $\\Xi$ in the sense of the Gale-Shapley marriage problem, with the additional feature that every center $\\xi\\in\\Xi$ has an appetite given by a nonnegative random variable $\\alpha$. Generalizing some previous results, we study large deviations for the distance of a typical point $x\\in\\mathbb R^d$ to its center $\\psi(x)\\in\\Xi$, subject to some restrictions on the moments of $\\alpha$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-07-15T10:55:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05"
    ],
    "keywords": [
      "random appetites",
      "stable marriage",
      "gale-shapley marriage problem",
      "study large deviations",
      "poisson point process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.1429A"
    }
  }
}