{
  "id": "1806.04220",
  "version": "v1",
  "published": "2018-06-11T20:10:16.000Z",
  "updated": "2018-06-11T20:10:16.000Z",
  "title": "Proof of the path localization conjecture for directed polymers",
  "authors": [
    "Sourav Chatterjee"
  ],
  "comment": "16 pages, 1 figure",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is a well-known open problem in the literature on random polymers to show that a directed polymer in random environment localizes around a favorite path at low temperature. A precise statement of this conjecture is formulated and proved in this article.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-11T20:10:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "82B44",
      "82D60",
      "60G17"
    ],
    "keywords": [
      "path localization conjecture",
      "directed polymer",
      "well-known open problem",
      "random environment localizes",
      "random polymers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}