{
  "id": "1210.3231",
  "version": "v1",
  "published": "2012-10-11T13:31:10.000Z",
  "updated": "2012-10-11T13:31:10.000Z",
  "title": "Hyperbolicity and stable polynomials in combinatorics and probability",
  "authors": [
    "Robin Pemantle"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "This was the basis of two lectures in the Current Developments in Mathematics conference in 2011. These lectures survey the theory of hyperbolic and stable polynomials, from their origins in the theory of linear PDE's to their present uses in combinatorics and probability theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-11T13:31:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "26C10",
      "62H20"
    ],
    "keywords": [
      "stable polynomials",
      "combinatorics",
      "hyperbolicity",
      "probability theory",
      "current developments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3231P"
    }
  }
}