{
  "id": "1206.1231",
  "version": "v2",
  "published": "2012-06-06T14:05:30.000Z",
  "updated": "2016-01-22T09:06:58.000Z",
  "title": "Localization Transition for Polymers in Poissonian Medium",
  "authors": [
    "Francis Comets",
    "Nobuo Yoshida"
  ],
  "journal": "Comm. Math. Phys. 323 (2013) 417-447",
  "doi": "10.1007/s00220-013-1744-8",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogeneities, respectively the intensity parameter $\\nu$ of the Poisson field and the temperature inverse $\\beta$. Our results are: (i) fine information on the phase diagram, with quantitative estimates on the critical curve; (ii) pathwise localization at low temperature and/or large density; (iii) complete localization in a favourite corridor for large $\\nu \\beta^2$ and bounded $\\beta$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-06T14:05:30.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-01-22T09:06:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60Hxx",
      "82A51",
      "82D30"
    ],
    "keywords": [
      "poissonian medium",
      "localization transition",
      "random environment",
      "brownian motion",
      "poissonian potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-013-1744-8",
      "journal": "Communications in Mathematical Physics",
      "year": 2013,
      "month": "Oct",
      "volume": 323,
      "number": 1,
      "pages": 417,
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CMaPh.323..417C"
    }
  }
}