Advanced Search
Article Contents
Article Contents

Exponential decay of Lebesgue numbers

Abstract Related Papers Cited by
  • We study the exponential rate of decay of Lebesgue numbers of open covers in topological dynamical systems. We show that topological entropy is bounded by this rate multiplied by dimension. Some corollaries and examples are discussed.
    Mathematics Subject Classification: Primary: 37B40, 54E45, 54F45.


    \begin{equation} \\ \end{equation}
  • [1]

    R. Bowen, Topological entropy for noncompact sets, Trans. Amer. Math. Soc., 184 (1973), 125-136.doi: 10.1090/S0002-9947-1973-0338317-X.


    X. Dai, Z. Zhou and X. Geng, Some relations between Hausdorff-dimensions and entropies, Sci. China Ser. A, 41 (1998), 1068-1075.doi: 10.1007/BF02871841.


    A. Katok and B. Hasselblatt, "Introduction to the Modern Theory of Dynamical Systems," With a supplementary chapter by Katok and Leonardo Mendoza, Encyclopedia of Mathematics and its Applications, 54, Cambridge University Press, Cambridge, 1995.


    M. Misiurewicz, On Bowen's definition of topological entropy, Discrete Contin. Dyn. Syst., 10 (2004), 827-833.doi: 10.3934/dcds.2004.10.827.


    P. Sun, Exponential decay of expansive constants, preprint, 2011.


    P. Walters, "An Introduction to Ergodic Theory," Graduate Texts in Mathematics, 79, Springer-Verlag, New York-Berlin, 1982.

  • 加载中

Article Metrics

HTML views() PDF downloads(104) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint