Pseudo-rotations of the open annulus
- 63 Downloads
In this paper, we study pseudo-rotations of the open annulus, i.e. conservative homeomorphisms of the open annulus whose rotation set is reduced to a single irrational number (the angle of the pseudo-rotation). We prove in particular that, for every pseudo-rotation h of angle ρ, the rigid rotation of angle ρ is in the closure of the conjugacy class of h. We also prove that pseudo-rotations are not persistent in C r topology for any r ≥ 0.
Keywords:rotation number annulus Poincaré-Birkhoff
Mathematical subject classification:37E45 37E30
Unable to display preview. Download preview PDF.