{
  "id": "2211.17129",
  "version": "v1",
  "published": "2022-11-30T16:06:09.000Z",
  "updated": "2022-11-30T16:06:09.000Z",
  "title": "Ehrhart Limits",
  "authors": [
    "Benjamin Braun",
    "McCabe Olsen"
  ],
  "comment": "11 pages, comments welcome",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart $h^*$-polynomials. We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-30T16:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "05A15",
      "11A05"
    ],
    "keywords": [
      "formal power series",
      "yield ehrhart limits",
      "integer coefficients",
      "polynomials",
      "definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}