ON PSEUDO-ROTATIONS OF THE ANNULUS WITH GENERIC ROTATION NUMBER
Abstract
We show that for a Baire generic rotation number α ∈ R/Z, the set of area preserving C ∞-pseudo-rotations of the annulus A with rotation number α equals the closure of the set of area preserving C ∞pseudo-rotations which are smoothly conjugate to the rotation R α. As a corollary, a C ∞-generic area preserving pseudo-rotation of the annulus with a Baire generic rotation number α is weakly mixing.
Domains
Mathematics [math]
Origin : Files produced by the author(s)