Maximal entropy measures in dimension zero (Q2893052)
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scientific article; zbMATH DE number 7282485
- Zero-dimensional extensions of amenable group actions
| Language | Label | Description | Also known as |
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| English | Maximal entropy measures in dimension zero |
scientific article; zbMATH DE number 7282485 |
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Maximal entropy measures in dimension zero (English)
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25 June 2012
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4 December 2020
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zero-dimensional system
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topological entropy
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asymptotically \(h\)-expansive system
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entropy
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amenable group
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free action
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0.9132161
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0.9055969
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0.9013961
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0.9007991
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0.89859873
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0.8981357
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0.8977723
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0.89622694
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The author proves an interesting result: If \(X\) is a compact metric space and \((X,T)\) is an invertible zero-dimensional system which has a measure of maximal entropy, then it is the extension of an asymptotically \(h\)-expansive system with equal topological entropy.
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