{
  "id": "1408.1609",
  "version": "v1",
  "published": "2014-08-07T14:42:36.000Z",
  "updated": "2014-08-07T14:42:36.000Z",
  "title": "Weak approximation of an invariant measure and a low boundary of the entropy",
  "authors": [
    "B. Gurevich"
  ],
  "comment": "3 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a measurable map $T$ and a sequence of $T$-invariant probability measures $\\mu_n$ that converges in some sense to a $T$-invariant probability measure $\\mu$, an estimate from below for the Kolmogorov--Sinai entropy of $T$ with respect to $\\mu$ is suggested in terms of the entropies of $T$ with respect to $\\mu_1$, $\\mu_2$, \\dots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-07T14:42:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37A50"
    ],
    "keywords": [
      "invariant measure",
      "low boundary",
      "weak approximation",
      "invariant probability measure",
      "kolmogorov-sinai entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.1609G"
    }
  }
}