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

Abstract

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 $\alpha$.

arXiv comment15pages, no figure

References in corpus (1)

• A generic dimensional property of the invariant measures for circle diffeomorphisms

Cited by in corpus (1)

• Orbit equivalence types of circle diffeomorphisms with a Liouville rotation number