{
  "id": "1910.01606",
  "version": "v1",
  "published": "2019-10-03T17:15:08.000Z",
  "updated": "2019-10-03T17:15:08.000Z",
  "title": "Holonomy and resurgence for partition functions",
  "authors": [
    "Frédéric Fauvet",
    "Frédéric Menous",
    "Julien Queva"
  ],
  "categories": [
    "math-ph",
    "math.CA",
    "math.MP"
  ],
  "abstract": "We describe the resurgence properties of some partition functions corresponding to Field theories in dimension 0. We show that these functions satisfy linear differential equations with polynomial coefficients and then use elementary stability results for holonomic functions to prove resurgence properties, enhancing previously known results on growth estimates for the formal series involved, which had been obtained through a delicate combinatorics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-03T17:15:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition functions",
      "functions satisfy linear differential equations",
      "resurgence properties",
      "elementary stability results",
      "formal series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}