Pseudo-rotations of the open annulus
- Cite this article as:
- Béguin, F., Crovisier, S. & Le Roux, F. Bull Braz Math Soc, New Series (2006) 37: 275. doi:10.1007/s00574-006-0013-2
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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 Cr topology for any r ≥ 0.