{
  "id": "2205.06206",
  "version": "v1",
  "published": "2022-05-12T16:43:03.000Z",
  "updated": "2022-05-12T16:43:03.000Z",
  "title": "Absence of weak disorder for directed polymers on supercritical percolation clusters",
  "authors": [
    "Maximilian Nitzschner"
  ],
  "comment": "18 pages, 1 figure",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the directed polymer model on infinite clusters of supercritical Bernoulli percolation containing the origin in dimensions $d \\geq 3$, and prove that for almost every realization of the cluster and every strictly positive value of the inverse temperature, the polymer is in a strong disorder phase, answering a question from Cosco, Seroussi, and Zeitouni, see arXiv:2010.09503.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T16:43:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "82B43",
      "60K35"
    ],
    "keywords": [
      "supercritical percolation clusters",
      "weak disorder",
      "strong disorder phase",
      "infinite clusters",
      "inverse temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}