Almost periodic ergodic \(\mathbb{R}^ n\)-homeomorphisms (Q1906990)
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scientific article; zbMATH DE number 838706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost periodic ergodic \(\mathbb{R}^ n\)-homeomorphisms |
scientific article; zbMATH DE number 838706 |
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Almost periodic ergodic \(\mathbb{R}^ n\)-homeomorphisms (English)
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23 November 1997
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A homeomorphism of \(\mathbb{R}^n\) is called stationary if it is the uniform limit of volume preserving homeomorphisms which are spatially periodic and have mean translation zero. The main result of this paper is that ergodicity is generic in the uniform topology for the space of stationary homeomorphisms. This result leads the author to pose the question: Is ergodicity generic in the larger set of mean translation zero, almost periodic homeomorphisms?.
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volume preserving homeomorphisms
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ergodicity
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almost periodic homeomorphisms
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0.7884542346000671
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0.753192126750946
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0.7398330569267273
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0.7396748661994934
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