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Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
2011/9/23
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...
Prime end rotation numbers of invariant separating contunua of annular homeomorphisms
continuum rotation set prime end rotation number Brouwer line
2011/1/18
Let f be a homeomorphism of the closed annulus A isotopic to the identity, and let X IntA be an f-invariant continuum which separates A into two domains, the upper domain U+ and the lower domain U&#...
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Schr¨odinger operators eigenvalues spectral gaps
2010/12/9
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...