{
  "id": "1203.5558",
  "version": "v2",
  "published": "2012-03-26T00:03:16.000Z",
  "updated": "2014-02-26T22:36:36.000Z",
  "title": "Growth rate of cluster algebras",
  "authors": [
    "Anna Felikson",
    "Michael Shapiro",
    "Hugh Thomas",
    "Pavel Tumarkin"
  ],
  "comment": "22 pages; v2: section 4 is rewritten; a remark on the growth of cluster algebras with non-connected diagrams is added to the introduction; some typos corrected; to appear in Proc. LMS",
  "categories": [
    "math.CO"
  ],
  "abstract": "We complete the computation of growth rate of cluster algebras. In particular, we show that growth of all exceptional non-affine mutation-finite cluster algebras is exponential.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-26T22:36:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F60"
    ],
    "keywords": [
      "growth rate",
      "exceptional non-affine mutation-finite cluster algebras",
      "computation",
      "exponential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5558F"
    }
  }
}