{
  "id": "1509.07193",
  "version": "v1",
  "published": "2015-09-24T00:58:23.000Z",
  "updated": "2015-09-24T00:58:23.000Z",
  "title": "Duality-based calculations for transition probabilities in birth-death processes",
  "authors": [
    "Jun Ohkubo"
  ],
  "comment": "5 pages",
  "categories": [
    "cond-mat.stat-mech",
    "physics.chem-ph"
  ],
  "abstract": "Transition probabilities in birth-death processes are fomulated via the corresponding dual birth-death processes. In order to obtain the corresponding dual processes, the Doi-Peliti formalism is employed. Conventional numerical evaluation enables us to obtain the transition probabilities from a fixed initial state; on the other hand, the duality relation gives us a useful method to calculate the transition probabilities to a fixed final state. Furthermore, it is clarified that the transition probabilities for various rate constants can be evaluated from only one numerical evaluation of extended dual stochastic processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-24T00:58:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transition probabilities",
      "duality-based calculations",
      "extended dual stochastic processes",
      "conventional numerical evaluation enables",
      "corresponding dual birth-death processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907193O"
    }
  }
}