{
  "id": "0711.1680",
  "version": "v1",
  "published": "2007-11-11T21:05:47.000Z",
  "updated": "2007-11-11T21:05:47.000Z",
  "title": "Zeon Algebra, Fock Space, and Markov Chains",
  "authors": [
    "Philip Feinsilver"
  ],
  "journal": "Communications on Stochastic Analysis, v. 2, no. 2, 2008, 263-275",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Fock spaces over zeons are introduced. Trace identities and a noncommutative \"integration-by-parts\" formula are developed. As an application, we find a new criterion, without involving powers of the transition matrix, for a Markov chain to be ergodic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-11T21:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81S05",
      "60J10"
    ],
    "keywords": [
      "fock space",
      "markov chain",
      "zeon algebra",
      "trace identities",
      "transition matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.1680F"
    }
  }
}