{
  "id": "1104.5066",
  "version": "v3",
  "published": "2011-04-27T03:30:55.000Z",
  "updated": "2012-04-14T10:13:51.000Z",
  "title": "Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011)",
  "authors": [
    "Davide Guzzetti"
  ],
  "comment": "35 pages, 10 figures; Physica D (2012)",
  "doi": "10.1016/j.physd.2012.02.015",
  "categories": [
    "math.CA",
    "math-ph",
    "math.AG",
    "math.MP"
  ],
  "abstract": "The distribution of the poles of branches of the Painleve' VI transcendents associated to semi-simple Frobenius manifolds is determined close to a critical point. It is shown that the poles accumulate at the critical point, asymptotically along two rays. The example of the Frobenius manifold given by the quantum cohomology of the two-dimensional complex projective space is also considered.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-04-14T10:13:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M55"
    ],
    "keywords": [
      "pvi transcendents close",
      "critical point",
      "poles distribution",
      "semi-simple frobenius manifolds",
      "two-dimensional complex projective space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2012,
      "month": "Dec",
      "volume": 241,
      "number": "23-24",
      "pages": 2188
    },
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhyD..241.2188G"
    }
  }
}