{
  "id": "math/0603233",
  "version": "v1",
  "published": "2006-03-09T21:48:01.000Z",
  "updated": "2006-03-09T21:48:01.000Z",
  "title": "Strong localization and macroscopic atoms for directed polymers",
  "authors": [
    "Vincent Vargas"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we derive strong localization results for directed polymers in random environment. We show that at \"low temperature\" the polymer measure is asymptotically concentrated at a few points of macroscopic mass (we call these points epsilon-atoms). These results are derived assuming weak conditions on the tail decay of the random environment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-09T21:48:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "82B44"
    ],
    "keywords": [
      "directed polymers",
      "macroscopic atoms",
      "random environment",
      "derive strong localization results",
      "tail decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3233V"
    }
  }
}