{
  "id": "1907.03872",
  "version": "v1",
  "published": "2019-07-08T21:03:49.000Z",
  "updated": "2019-07-08T21:03:49.000Z",
  "title": "Approximating integrals with respect to stationary probability measures",
  "authors": [
    "Italo Cipriano",
    "Natalia Jurga"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study fast approximation of integrals with respect to stationary probability measures associated to iterated functions systems on the unit interval. We provide an algorithm for approximating the integrals under certain conditions on the iterated function system and on the function that is being integrated. We apply this technique to estimate Hausdorff moments, Wasserstein distances and Lyapunov exponents of stationary probability measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-08T21:03:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary probability measures",
      "approximating integrals",
      "study fast approximation",
      "estimate hausdorff moments",
      "unit interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}