{
  "id": "1702.08878",
  "version": "v1",
  "published": "2017-02-28T17:39:37.000Z",
  "updated": "2017-02-28T17:39:37.000Z",
  "title": "Yet another induction scheme for non-uniformly expanding transformations",
  "authors": [
    "Pedro L. Capett-Figueras",
    "Fernando J. Sánchez-Salas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce a new induction scheme for non-uniformly expanding maps $f$ of compact Riemannian manifolds, relying upon ideas of S\\'anchez-Salas and Neil Doobs, proving that the existence of a Gibbs-Markov-Young structure is a necessary condition for $f$ to preserve an absolutely continuous probability with all its Lyapunov exponents positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-28T17:39:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37D35"
    ],
    "keywords": [
      "non-uniformly expanding transformations",
      "induction scheme",
      "compact riemannian manifolds",
      "lyapunov exponents",
      "neil doobs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}