{
  "id": "2012.03314",
  "version": "v1",
  "published": "2020-12-06T16:35:48.000Z",
  "updated": "2020-12-06T16:35:48.000Z",
  "title": "Ledrappier-Young formulae for a family of nonlinear attractors",
  "authors": [
    "Natalia Jurga",
    "Lawrence D. Lee"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.DS",
    "math.CA",
    "math.MG"
  ],
  "abstract": "We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for H\\\"older continuous potentials. We show that these measures are exact dimensional and that their exact dimensions satisfy a Ledrappier-Young formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-06T16:35:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "37C45"
    ],
    "keywords": [
      "ledrappier-young formula",
      "nonlinear attractors",
      "non-conformal iterated function systems",
      "exact dimensions satisfy",
      "natural class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}