{
  "id": "math/0404368",
  "version": "v1",
  "published": "2004-04-20T21:05:45.000Z",
  "updated": "2004-04-20T21:05:45.000Z",
  "title": "Stochastic stability at the boundary of expanding maps",
  "authors": [
    "Vitor Araujo",
    "Ali Tahzibi"
  ],
  "journal": "Nonlinearity, 18 (2005) 1-20.",
  "doi": "10.1088/0951-7715/18/3/001",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider endomorphisms of a compact manifold which are expanding except for a finite number of points and prove the existence and uniqueness of a physical measure and its stochastical stability. We also characterize the zero-noise limit measures for a model of the intermittent map and obtain stochastic stability for some values of the parameter. The physical measures are obtained as zero-noise limits which are shown to satisfy Pesin?s Entropy Formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-20T21:05:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25",
      "37D30",
      "37D20"
    ],
    "keywords": [
      "stochastic stability",
      "expanding maps",
      "zero-noise limit measures",
      "physical measure",
      "compact manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}