Pseudo-rotations of the open annulus

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dc.creatorBéguin, F.
dc.creatorCrovisier, S.
dc.creatorRoux, F. Le
dc.date2005-06-02
dc.date.accessioned2026-07-07T05:20:28Z
dc.date.available2026-07-07T05:20:28Z
dc.descriptionIn this paper, we study pseudo-rotations of the open annulus, \emph{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 $r\geq 0$.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0506041
dc.identifierhttp://arxiv.org/abs/math/0506041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75390
dc.subjectDynamical Systems
dc.subject37E45; 37E30
dc.titlePseudo-rotations of the open annulus
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