{
  "id": "1908.06825",
  "version": "v1",
  "published": "2019-08-19T14:20:57.000Z",
  "updated": "2019-08-19T14:20:57.000Z",
  "title": "Hunt's Hypothesis (H) for Markov Processes: Survey and Beyond",
  "authors": [
    "Ze-Chun Hu",
    "Wei Sun"
  ],
  "comment": "27 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The goal of this paper is threefold. First, we survey the existing results on Hunt's hypothesis (H) for Markov processes and Getoor's conjecture for L\\'{e}vy processes. Second, we investigate (H) for multidimensional L\\'{e}vy processes from the viewpoints of projections and energy, respectively. Third, we present a few open questions for further study.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-19T14:20:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "markov processes",
      "hunts hypothesis",
      "getoors conjecture",
      "open questions",
      "existing results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}