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arXiv · 1107.5903

Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number

Shigenori Matsumoto
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Abstract

Given any Liouville number $α$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation number $α$.

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Shigenori Matsumoto. 2011-07-29. Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number. https://doi.org/10.1088/0951-7715%2F25%2F5%2F1495

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