{
  "id": "1210.8352",
  "version": "v1",
  "published": "2012-10-31T14:50:03.000Z",
  "updated": "2012-10-31T14:50:03.000Z",
  "title": "Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory",
  "authors": [
    "Tom Claeys",
    "Tamara Grava"
  ],
  "comment": "review paper, 19 pages, to appear in the proceedings of the MSRI semester on `Random matrices, interacting particle systems and integrable systems'",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We discuss universality in random matrix theory and in the study of Hamiltonian partial differential equations. We focus on universality of critical behavior and we compare results in unitary random matrix ensembles with their counterparts for the Korteweg-de Vries equation, emphasizing the similarities between both subjects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-31T14:50:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "33E17",
      "15B52"
    ],
    "keywords": [
      "korteweg-de vries equation",
      "random matrix theory",
      "critical asymptotic behavior",
      "unitary random matrix ensembles",
      "hamiltonian partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.8352C"
    }
  }
}