{
  "id": "2102.06795",
  "version": "v1",
  "published": "2021-02-12T22:03:32.000Z",
  "updated": "2021-02-12T22:03:32.000Z",
  "title": "Invariant measures for interval maps without Lyapunov exponents",
  "authors": [
    "Jorge Olivares-Vinales"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct an invariant measure for a piecewise analytic interval map whose Lyapunov exponent is not defined. Moreover, for a set of full measure, the pointwise Lyapunov exponent is not defined. This map has a Lorenz-like singularity and non-flat critical points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-12T22:03:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant measure",
      "piecewise analytic interval map",
      "full measure",
      "pointwise lyapunov exponent",
      "non-flat critical points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}