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Discrete and Continuous Dynamical Systems
Article . 2012 . Peer-reviewed
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Discrete and Continuous Dynamical Systems
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arXiv.org e-Print Archive
Preprint . 2010
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https://dx.doi.org/10.48550/ar...
Article . 2010
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Exponential decay of Lebesgue numbers

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2012Embargo end date: 01 Jan 2010 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 32, pages 3,773-3,785 (issn: 1078-0947, Copyright policy )
Authors: Sun, Peng;

doi: 10.3934/dcds.2012.32.3773 , 10.48550/arxiv.1002.0549

arXiv: 1002.0549

Exponential decay of Lebesgue numbers

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.

12 pages, revised

Keywords

37B40, 54F45, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
gold