{
  "id": "1607.01127",
  "version": "v1",
  "published": "2016-07-05T06:40:13.000Z",
  "updated": "2016-07-05T06:40:13.000Z",
  "title": "A probabilistic representation of the quasispecies distribution",
  "authors": [
    "Raphaël Cerf",
    "Joseba Dalmau"
  ],
  "categories": [
    "math.PR",
    "q-bio.PE"
  ],
  "abstract": "We give a probabilistic representation of the stationary solutions of Eigen's model, when the set of possible genotypes is finite and the mutation matrix is primitive. In the long chain regime, we perform a formal passage to the limit to obtain a probabilistic representation of the quasispecies distribution. We prove rigorously the validity of this representation with the help of previously known exact formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-05T06:40:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probabilistic representation",
      "quasispecies distribution",
      "long chain regime",
      "exact formulas",
      "stationary solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}