Annular area preserving homeomorphisms which admit no interior compact invariant sets

Details Annular area preserving homeomorphisms which admit no interior compact invariant sets Annular area preserving homeomorphisms which admit no interior compact invariant sets

2010-12-26

arxiv.org/abs/1012.5493v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

For any irrational number $\alpha$, there exists an ergodic area preserving
homeomorphism of the closed annulus which is isotopic to the identitity, admits
no compact invariant set contained in the interior of the annulus, and has the
rotation number $\alpha$.

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