Area-preserving irrotational diffeomorphisms of the torus with sublinear diffusion

DOI10.1090/S0002-9939-2014-12062-4zbMath1351.37177arXiv1206.2409MaRDI QIDQ3190330

Fabio A. Tal, Andres Koropecki

Publication date: 16 September 2014

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

Full work available at URL: https://arxiv.org/abs/1206.2409

zbMATH Keywords

two-dimensional torusarea-preserving diffeomorphism

Mathematics Subject Classification ID

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

Related Items (17)

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 ⋮ Distortion elements for surface homeomorphisms ⋮ Bounded and unbounded behavior for area-preserving rational pseudo-rotations ⋮ ON ANNULAR MAPS OF THE TORUS AND SUBLINEAR DIFFUSION ⋮ Ergodicity and annular homeomorphisms of the torus ⋮ Rotation sets and actions on curves ⋮ Fine asymptotic expansion of the ODE's flow ⋮ On torus homeomorphisms whose rotation set is an interval ⋮ Strictly toral dynamics ⋮ A characterization of annularity for area-preserving toral homeomorphisms ⋮ Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms ⋮ Existence of non-contractible periodic orbits for homeomorphisms of the open annulus ⋮ On non-contractible periodic orbits for surface homeomorphisms ⋮ Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland ⋮ Non-existence of sublinear diffusion for a class of torus homeomorphisms

Cites Work

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• Bernoulli diffeomorphisms on surfaces
• On torus homeomorphisms whose rotation set is an interval
• Strictly toral dynamics
• Measure-preserving homeomorphisms and metrical transitivity
• Rotation Sets for Maps of Tori
• Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
• Dynamics of homeomorphisms of the torus homotopic to Dehn twists

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