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Exponential decay of Lebesgue numbers

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  • 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.

    Citation:

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

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

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