{
  "id": "1310.7108",
  "version": "v1",
  "published": "2013-10-26T13:05:06.000Z",
  "updated": "2013-10-26T13:05:06.000Z",
  "title": "Finiteness of hitting times under taboo",
  "authors": [
    "Ekaterina Vl. Bulinskaya"
  ],
  "journal": "Statistics and Probability Letters, vol.85(2014), no.1, pp.15-19",
  "doi": "10.1016/j.spl.2013.10.016",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a continuous-time Markov chain with a finite or countable state space. For a site y and subset H of the state space, the hitting time of y under taboo H is defined to be infinite if the process trajectory hits H before y, and the first hitting time of y otherwise. We investigate the probability that such times are finite. In particular, if the taboo set is finite, an efficient iterative scheme reduces the study to the known case of a singleton taboo. A similar procedure applies in the case of finite complement of the taboo set. The study is motivated by classification of branching processes with finitely many catalysts. Keywords and phrases: Markov chain, hitting time, taboo probabilities, catalytic branching process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-26T13:05:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J27",
      "60G40"
    ],
    "keywords": [
      "hitting time",
      "state space",
      "finiteness",
      "taboo set",
      "process trajectory hits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7108B"
    }
  }
}