{
  "id": "2306.10625",
  "version": "v1",
  "published": "2023-06-18T19:27:32.000Z",
  "updated": "2023-06-18T19:27:32.000Z",
  "title": "Conformal invariance of random currents: a stability result",
  "authors": [
    "Hong-Bin Chen",
    "Jiaming Xia"
  ],
  "comment": "40 pages, 7 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show the convergence of the single sourceless critical random current to a limit identifiable with the nested CLE(3). Our approach is based on viewing the random current as a perturbation of the Ising interface, which is known to converge to CLE(3). Instead of focusing solely on the random current, we provide a general framework for the stability of scaling limits under the perturbation by superimposing an independent Bernoulli percolation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-18T19:27:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal invariance",
      "stability result",
      "independent bernoulli percolation",
      "single sourceless critical random current",
      "general framework"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}