{
  "id": "1110.3156",
  "version": "v3",
  "published": "2011-10-14T09:24:06.000Z",
  "updated": "2013-10-21T06:43:20.000Z",
  "title": "Regularity of the entropy for random walks on hyperbolic groups",
  "authors": [
    "François Ledrappier"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/12-AOP748 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2013, Vol. 41, No. 5, 3582-3605",
  "doi": "10.1214/12-AOP748",
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We consider nondegenerate, finitely supported random walks on a finitely generated Gromov hyperbolic group. We show that the entropy and the escape rate are Lipschitz functions of the probability if the support remains constant.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-10-21T06:43:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularity",
      "finitely generated gromov hyperbolic group",
      "support remains constant",
      "finitely supported random walks",
      "lipschitz functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3156L"
    }
  }
}