{
  "id": "2103.07870",
  "version": "v1",
  "published": "2021-03-14T08:42:50.000Z",
  "updated": "2021-03-14T08:42:50.000Z",
  "title": "A note on the GFF with one free boundary condition",
  "authors": [
    "Yong Han",
    "Yuefei Wang",
    "Zipeng Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note, we shall prove an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-14T08:42:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free boundary condition",
      "gaussian free field",
      "dirichlet boundary condition",
      "level line",
      "explicit formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}