{
  "id": "2011.04334",
  "version": "v1",
  "published": "2020-11-09T10:58:45.000Z",
  "updated": "2020-11-09T10:58:45.000Z",
  "title": "Variational principles of the exit time for Hunt processes generated by semi-Dirihclet forms",
  "authors": [
    "Lu-Jing Huang",
    "Kyung-Youn Kim",
    "Yong-Hua Mao",
    "Tao Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We give the variational principles of the exit time from an open set of the Hunt process generated by a regular lower bounded semi-Dirichlet form. For symmetric Markov processes, variational formulas for exponential moments of exit time are also presented. As applications, we provide some comparison theorems and quantitative relations of the exponential moments and Poincar\\'e inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-09T10:58:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J46",
      "60J45",
      "60J25"
    ],
    "keywords": [
      "exit time",
      "variational principles",
      "hunt process",
      "semi-dirihclet forms",
      "regular lower bounded semi-dirichlet form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}