{
  "id": "2501.00445",
  "version": "v1",
  "published": "2024-12-31T13:54:08.000Z",
  "updated": "2024-12-31T13:54:08.000Z",
  "title": "On a pinning model in correlated Gaussian random environments",
  "authors": [
    "Zian Li",
    "Jian Song",
    "Ran Wei",
    "Hang Zhang"
  ],
  "comment": "27 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a pinning model in correlated Gaussian random environments. For the model that is disorder relevant, we study its intermediate disorder regime and show that the rescaled partition functions converge to a non-trivial continuum limit in the Skorohod setting and in the Stratonovich setting, respectively. Our results partially confirm the prediction of Weinrib and Halperin for disorder relevance/irrelevance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-31T13:54:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlated gaussian random environments",
      "pinning model",
      "rescaled partition functions converge",
      "non-trivial continuum limit",
      "intermediate disorder regime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}