A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus
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Publication:3182576
DOI10.1090/S0002-9939-09-09903-1zbMath1179.37063arXiv0902.2474OpenAlexW2144232461MaRDI QIDQ3182576
Alejandro Kocsard, Andres Koropecki
Publication date: 9 October 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.2474
Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Related Items (11)
Bounded and unbounded behavior for area-preserving rational pseudo-rotations ⋮ ON ANNULAR MAPS OF THE TORUS AND SUBLINEAR DIFFUSION ⋮ Fine asymptotic expansion of the ODE's flow ⋮ New exotic minimal sets from pseudo-suspensions of Cantor systems ⋮ On torus homeomorphisms whose rotation set is an interval ⋮ Strictly toral dynamics ⋮ A characterization of annularity for area-preserving toral homeomorphisms ⋮ The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan ⋮ Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms ⋮ Periodic point free homeomorphisms and irrational rotation factors ⋮ Existence of non-contractible periodic orbits for homeomorphisms of the open annulus
Cites Work
- Transitivity of surface dynamics lifted to Abelian covers
- Weak mixing for reparameterized linear flows on the torus
- Constructions in elliptic dynamics
- Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary
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