{
  "id": "1603.04670",
  "version": "v1",
  "published": "2016-03-15T13:00:31.000Z",
  "updated": "2016-03-15T13:00:31.000Z",
  "title": "Fleming-Viot processes : two explicit examples",
  "authors": [
    "Bertrand Cloez",
    "Marie-Noémie Thai"
  ],
  "comment": "17 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1312.2444",
  "categories": [
    "math.PR"
  ],
  "abstract": "The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one corresponds to a random walk on the complete graph. Due to its geometry, we establish several explicit and optimal formulas for the Fleming-Viot process (invariant distribution, correlations, spectral gap). The second example corresponds to a Markov chain in a two state space. In this case, the study of the Fleming-Viot particle system is reduced to the study of birth and death process with quadratic rates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-15T13:00:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fleming-viot process",
      "explicit examples",
      "fleming-viot particle system",
      "second example corresponds",
      "death process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}