Pseudo-rotations of the closed annulus : variation on a theorem of J. Kwapisz
| dc.creator | Crovisier, Sylvain | |
| dc.creator | Beguin, Francois | |
| dc.creator | Roux, Frederic Le | |
| dc.creator | Patou, Alice | |
| dc.date | 2003-09-30 | |
| dc.date.accessioned | 2026-07-07T05:01:32Z | |
| dc.date.available | 2026-07-07T05:01:32Z | |
| dc.description | Consider a homeomorphism h of the closed annulus S^1*[0,1], isotopic to the identity, such that the rotation set of h is reduced to a single irrational number alpha (we say that h is an irrational pseudo-rotation). For every positive integer n, we prove that there exists a simple arc gamma joining one of the boundary component of the annulus to the other one, such that gamma is disjoint from its n first iterates under h. As a corollary, we obtain that the rigid rotation of angle alpha can be approximated by homeomorphisms conjugate to h. The first result stated above is an analog of a theorem of J. Kwapisz dealing with diffeomorphisms of the two-torus; we give some new, purely two-dimensional, proofs, that work both for the annulus and for the torus case. | |
| dc.identifier | https://arxiv.org/abs/math/0309477 | |
| dc.identifier | http://arxiv.org/abs/math/0309477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68710 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E45, 37E30 | |
| dc.title | Pseudo-rotations of the closed annulus : variation on a theorem of J. Kwapisz | |
| dc.type | text |