Pseudo-rotations of the closed annulus: variation on a theorem of J Kwapisz

DOI10.1088/0951-7715/17/4/016zbMath1077.37032arXivmath/0309477OpenAlexW2024824843MaRDI QIDQ4821911

Sylvain Crovisier, Frédéric Le Roux, A. Patou, François Béguin

Publication date: 22 October 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309477

zbMATH Keywords

conjugacy classesrotation setirrational pseudo-rotationtorus diffeomorphismsclosed annulusdisplacement setFarrey intervalPoincaré's results

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Combinatorial dynamics (types of periodic orbits) (37E15) Rotation numbers and vectors (37E45)

Related Items (15)

On stable and unstable behaviour of certain rotation segments ⋮ The Anosov-Katok method and pseudo-rotations in symplectic dynamics ⋮ Distortion elements for surface homeomorphisms ⋮ Dynamics of covering maps of the annulus I: semiconjugacies ⋮ A generalization of the line translation theorem ⋮ Conjugacy class of homeomorphisms and distortion elements in groups of homeomorphisms ⋮ Irrational rotation factors for conservative torus homeomorphisms ⋮ Free curves and periodic points for torus homeomorphisms ⋮ On generic rotationless diffeomorphisms of the annulus ⋮ A dynamical decomposition of the torus into pseudo-circles ⋮ Periodic point free homeomorphisms of the open annulus: from skew products to non-fibred maps ⋮ A finite dimensional approach to Bramham's approximation theorem ⋮ Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique ⋮ Linearization of conservative toral homeomorphisms ⋮ Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves

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