{
  "id": "math/0506099",
  "version": "v1",
  "published": "2005-06-06T14:57:34.000Z",
  "updated": "2005-06-06T14:57:34.000Z",
  "title": "Recombination semigroups on measure spaces",
  "authors": [
    "Michael Baake"
  ],
  "comment": "15 pages",
  "journal": "Monatshefte Math. 146 (2005) 267--278; Addendum: Monatshefte Math. 150 (2007) 83--84",
  "categories": [
    "math.CA",
    "q-bio.PE"
  ],
  "abstract": "The dynamics of recombination in genetics leads to an interesting nonlinear differential equation, which has a natural generalization to a measure valued version. The latter can be solved explicitly under rather general circumstances. It admits a closed formula for the semigroup of nonlinear positive operators that emerges from the forward flow and is, in general, embedded in a multi-parameter semigroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-06T14:57:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L30",
      "92D10",
      "37N30",
      "06A07",
      "60J25"
    ],
    "keywords": [
      "measure spaces",
      "recombination semigroups",
      "interesting nonlinear differential equation",
      "nonlinear positive operators",
      "multi-parameter semigroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6099B"
    }
  }
}