{
  "id": "1910.03423",
  "version": "v1",
  "published": "2019-10-08T14:30:21.000Z",
  "updated": "2019-10-08T14:30:21.000Z",
  "title": "On the small time asymptotics of the dynamical $Φ^4_1$ model",
  "authors": [
    "Bingguang Chen",
    "Xiangchan Zhu"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we establish a small time large deviation principle (small time asymptotics) for the dynamical $\\Phi^4_1$ model, which not only involves study of the space-time white noise with intensity $\\sqrt{\\varepsilon}$, but also the investigation of the effect of the small (with $\\varepsilon$) nonlinear drift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-08T14:30:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small time asymptotics",
      "small time large deviation principle",
      "space-time white noise",
      "nonlinear drift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}