{
  "id": "2404.06006",
  "version": "v1",
  "published": "2024-04-09T04:23:18.000Z",
  "updated": "2024-04-09T04:23:18.000Z",
  "title": "Large deviation principle for the Airy point process",
  "authors": [
    "Chenyang Zhong"
  ],
  "comment": "168 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Airy point process is a determinantal point process that arises from the spectral edge of the Gaussian Unitary Ensemble. In this paper, we establish a large deviation principle for the Airy point process. Our result also extends to point processes arising from the spectrum of the stochastic Airy operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-09T04:23:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "airy point process",
      "large deviation principle",
      "determinantal point process",
      "stochastic airy operator",
      "spectral edge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 168,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}