Rigidity of smooth one-sided Bernoulli endomorphisms (Q1043782)
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scientific article; zbMATH DE number 5644616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity of smooth one-sided Bernoulli endomorphisms |
scientific article; zbMATH DE number 5644616 |
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Rigidity of smooth one-sided Bernoulli endomorphisms (English)
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9 December 2009
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One says that a measure-preserving endomorphism is one-sided Bernoulli if it is isomorphic to an invertible Bernoulli shift. The authors show that in the case of piecewise smooth endomorphisms the one-sided Bernoulli property is much stronger than the usual weak Bernoulli property and illustrate this on certain families of interval maps and complex maps on the Riemann sphere.
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Bernoulli shifts
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one-sided Bernoulli
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noninvertible maps
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interval maps
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