{
  "id": "1610.02071",
  "version": "v1",
  "published": "2016-10-04T08:47:08.000Z",
  "updated": "2016-10-04T08:47:08.000Z",
  "title": "Addendum to '' Sum rules via large deviations ''",
  "authors": [
    "Fabrice Gamboa",
    "Jan Nagel",
    "Alain Rouault"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In these notes we fill a gap in a proof in Section 4 of Gamboa, Nagel, Rouault [Sum rules via large deviations, J. Funct. Anal. 270 (2016), 509-559]. We prove a general theorem which combines a LDP with a convex rate function and a LDP with a non-convex one. This result will be used to prove LDPs for spectral matrix measures and for spectral measures on the unit circle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-04T08:47:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sum rules",
      "large deviations",
      "spectral matrix measures",
      "convex rate function",
      "general theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}