{
  "id": "1707.06411",
  "version": "v1",
  "published": "2017-07-20T08:22:15.000Z",
  "updated": "2017-07-20T08:22:15.000Z",
  "title": "Stability of the Markov operator and synchronization of Markovian random products",
  "authors": [
    "Lorenzo J. Díaz",
    "Edgar Matias"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study Markovian random products on a large class of \"m-dimensional\" connected compact metric spaces (including products of closed intervals and trees). We introduce a splitting condition, generalizing the classical one by Dubins and Freedman, and prove that this condition implies the asymptotic stability of the corresponding Markov operator and (exponentially fast) synchronization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-20T08:22:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B25",
      "37B35",
      "60J05",
      "47B80"
    ],
    "keywords": [
      "synchronization",
      "study markovian random products",
      "connected compact metric spaces",
      "large class",
      "condition implies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}