{
  "id": "1303.6198",
  "version": "v1",
  "published": "2013-03-25T16:24:47.000Z",
  "updated": "2013-03-25T16:24:47.000Z",
  "title": "On the Lyapunov numbers",
  "authors": [
    "Sergiy Kolyada",
    "Oleksandr Rybak"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce and study the Lyapunov numbers -- quantitative measures of the sensitivity of a dynamical system $(X,f)$ given by a compact metric space $X$ and a continuous map $f:X \\to X$. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-25T16:24:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "54H20",
      "37B25"
    ],
    "keywords": [
      "lyapunov numbers",
      "compact metric space",
      "minimal topologically weakly mixing system",
      "dynamical system",
      "continuous map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6198K"
    }
  }
}