Exponential decay of Lebesgue numbers

Peng Sun

doi:10.3934/dcds.2012.32.3773

Article Contents

2012, Volume 32, Issue 10: 3773-3785. Doi: 10.3934/dcds.2012.32.3773

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Exponential decay of Lebesgue numbers

Peng Sun^1,

1.
China Economics and Management Academy, Central University of Finance and Economics, No. 39 College South Road, Beijing, 100081

Received: December 31, 2010

Revised: February 29, 2012

Published: September 2012

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Abstract

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.

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Mathematics Subject Classification: Primary: 37B40, 54E45, 54F45.

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References

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