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

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

2011-07-29

arxiv.org/abs/1107.5903v1

Mathematics

Dynamical Systems

15pages, no figure

Scientific paper

Given any Liouville number $\alpha$, 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 $\alpha$.

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