{
  "id": "1202.2811",
  "version": "v1",
  "published": "2012-02-13T18:34:05.000Z",
  "updated": "2012-02-13T18:34:05.000Z",
  "title": "Discrete Feynman-Kac formulas for branching random walks",
  "authors": [
    "Andrea Zoia",
    "Eric Dumonteil",
    "Alain Mazzolo"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "EPL 98, 40012 (2012)",
  "doi": "10.1209/0295-5075/98/40012",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Branching random walks are key to the description of several physical and biological systems, such as neutron multiplication, genetics and population dynamics. For a broad class of such processes, in this Letter we derive the discrete Feynman-Kac equations for the probability and the moments of the number of visits $n_V$ of the walker to a given region $V$ in the phase space. Feynman-Kac formulas for the residence times of Markovian processes are recovered in the diffusion limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-13T18:34:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "branching random walks",
      "discrete feynman-kac formulas",
      "discrete feynman-kac equations",
      "markovian processes",
      "residence times"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2012,
      "month": "May",
      "volume": 98,
      "number": 4,
      "pages": 40012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012EL.....9840012Z"
    }
  }
}