Bounded and unbounded behavior for area-preserving rational pseudo-rotations

DOI10.1112/plms/pdu023zbMath1352.37127arXiv1207.5573OpenAlexW3099838040MaRDI QIDQ2922883

Andres Koropecki, Fabio A. Tal

Publication date: 15 October 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5573

zbMATH Keywords

Poincaré recurrencesorientation-preserving homeomorphismpseudo-rotations

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (14)

Zero entropy and stable rotation sets for monotone recurrence relations ⋮ Fully essential dynamics for area-preserving surface homeomorphisms ⋮ Forcing theory for transverse trajectories of surface homeomorphisms ⋮ Set-oriented numerical computation of rotation sets ⋮ Existence of torsion-low maximal isotopies for area preserving surface homeomorphisms ⋮ ON ANNULAR MAPS OF THE TORUS AND SUBLINEAR DIFFUSION ⋮ Decomposing dynamics via components of rotation sets ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2 ⋮ Global fixed points for nilpotent actions on the torus ⋮ Strictly toral dynamics ⋮ A characterization of annularity for area-preserving toral homeomorphisms ⋮ Actions of solvable Baumslag-Solitar groups on surfaces with (pseudo)-Anosov elements ⋮ Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms ⋮ On non-contractible periodic orbits for surface homeomorphisms

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