Non-standard smooth realizations of Liouville rotations
We augment the $C^\infty $ conjugation approximation method with explicit estimates on the conjugacy map. This allows us to construct ergodic volume-preserving diffeomorphisms measure-theoretically isomorphic to any a priori given Liouville rotation on a variety of manifolds. In the special case of...
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Veröffentlicht in: | Ergodic theory and dynamical systems 2007-12, Vol.27 (6), p.1803-1818 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We augment the $C^\infty $ conjugation approximation method with explicit estimates on the conjugacy map. This allows us to construct ergodic volume-preserving diffeomorphisms measure-theoretically isomorphic to any a priori given Liouville rotation on a variety of manifolds. In the special case of tori the maps can be made uniquely ergodic. |
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ISSN: | 0143-3857 1469-4417 1469-4417 |
DOI: | 10.1017/S0143385707000314 |