{
  "id": "1010.5706",
  "version": "v1",
  "published": "2010-10-27T14:50:02.000Z",
  "updated": "2010-10-27T14:50:02.000Z",
  "title": "Matrices with prescribed row and column sums",
  "authors": [
    "Alexander Barvinok"
  ],
  "comment": "30 pages",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "This is a survey of the recent progress and open questions on the structure of the sets of 0-1 and non-negative integer matrices with prescribed row and column sums. We discuss cardinality estimates, the structure of a random matrix from the set, discrete versions of the Brunn-Minkowski inequality and the statistical dependence between row and column sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-27T14:50:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A16",
      "05C30",
      "05C50",
      "15B34",
      "15B36",
      "60C05",
      "60F05",
      "60F10"
    ],
    "keywords": [
      "column sums",
      "prescribed row",
      "brunn-minkowski inequality",
      "discrete versions",
      "open questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.5706B"
    }
  }
}