Recurrence of non-resonant homeomorphisms on the torus

DOI10.1090/S0002-9939-2012-11249-3zbMath1335.37022arXiv1103.4576MaRDI QIDQ2846751

Rafael Potrie

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4576

zbMATH Keywords

rotation vectorstorus homeomorphism

Mathematics Subject Classification ID

Rotation numbers and vectors (37E45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (5)

Rotation set of torus homeomorphisms preserving minimal foliations ⋮ On torus homeomorphisms semiconjugate to irrational rotations ⋮ SOME PROPERTIES OF STRONG CHAIN TRANSITIVE MAPS ⋮ A few remarks on partially hyperbolic diffeomorphisms of \(\mathbb T^3\) isotopic to Anosov ⋮ A dynamical decomposition of the torus into pseudo-circles

Cites Work

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• Linearization of conservative toral homeomorphisms
• Unlinked invariant sets of diffeomorphisms of the torus and the annulus
• Collections filling a plane
• Minimal sets of non-resonant torus homeomorphisms
• Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique
• Denjoy constructions for fibered homeomorphisms of the torus
• The concept of bounded mean motion for toral homeomorphisms
• Rotation Sets for Maps of Tori
• Combinatorics of torus diffeomorphisms
• Weak mixing for reparameterized linear flows on the torus

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