{
  "id": "1901.10528",
  "version": "v1",
  "published": "2019-01-29T20:35:50.000Z",
  "updated": "2019-01-29T20:35:50.000Z",
  "title": "Expected $f$-vector of the Poisson Zero Polytope",
  "authors": [
    "Zakhar Kabluchko"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR",
    "math.CO",
    "math.MG"
  ],
  "abstract": "We prove an explicit combinatorial formula for the expected number of faces of the zero polytope of the Poisson hyperplane tessellation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-29T20:35:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A22",
      "60D05",
      "52B11",
      "52A20",
      "51M20",
      "52A55"
    ],
    "keywords": [
      "poisson zero polytope",
      "explicit combinatorial formula",
      "poisson hyperplane tessellation",
      "expected number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}