{
  "id": "1310.8007",
  "version": "v4",
  "published": "2013-10-30T02:56:26.000Z",
  "updated": "2017-04-30T21:25:07.000Z",
  "title": "Integrable probability: From representation theory to Macdonald processes",
  "authors": [
    "Alexei Borodin",
    "Leonid Petrov"
  ],
  "comment": "49 pages; 22 figures; v3, v4: minor typos fixed",
  "journal": "Probability Surveys 11 (2014), pp. 1-58",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.CO",
    "math.MP",
    "math.RT"
  ],
  "abstract": "These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q,t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer's partition function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-20T06:26:18.000Z",
      "comment": "49 pages; 22 figures; v3: minor typos fixed",
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2017-04-30T21:25:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macdonald processes",
      "representation theory",
      "integrable probability",
      "cornell probability summer school",
      "large time asymptotic analysis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8007B"
    }
  }
}