Classification of some finite Blaschke products as metric endomorphisms (Q1076837)
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scientific article; zbMATH DE number 3955311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of some finite Blaschke products as metric endomorphisms |
scientific article; zbMATH DE number 3955311 |
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Classification of some finite Blaschke products as metric endomorphisms (English)
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1986
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The entropy of the map \(T(z)=z^ n(z-t)/(1-zt)\) for \(n=1,2,...\), \(0<t<1\), on the unit circle is shown to be \(\log {1/2}\{(n+1)+(n-1)t^ 2+[(n+1)^ 2-2(n^ 2+1)t^ 2+(n-1)^ 2t^ 4]^{1/2}\}\).
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Blaschke product
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ergodic properties of inner functions
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entropy
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