Annular area preserving homeomorphisms which admit no interior compact invariant sets

arXiv1012.5493MaRDI QIDQ6222624

Shigenori Matsumoto

Publication date: 25 December 2010

Abstract: 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 $alpha$.

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

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