Ergodicity and partial hyperbolicity on the 3-torus
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Publication:2876618
DOI10.1142/S0219199713500387zbMath1347.37060arXiv1208.5660MaRDI QIDQ2876618
Publication date: 19 August 2014
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5660
Ergodicity, mixing, rates of mixing (37A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (19)
Ergodicity and partial hyperbolicity on Seifert manifolds ⋮ Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ Central Lyapunov exponent of partially hyperbolic diffeomorphisms of 𝕋³ ⋮ Robust minimality of strong foliations for DA diffeomorphisms: 𝑐𝑢-volume expansion and new examples ⋮ New derived from Anosov diffeomorphisms with pathological center foliation ⋮ Centralizers of derived-from-Anosov systems on : rigidity versus triviality ⋮ Rigidity of stable Lyapunov exponents and integrability for Anosov maps ⋮ Joint integrability and spectral rigidity for Anosov diffeomorphisms ⋮ Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus ⋮ Rigidity of center Lyapunov exponents and \(su\)-integrability ⋮ Minimal yet measurable foliations ⋮ A few remarks on partially hyperbolic diffeomorphisms of \(\mathbb T^3\) isotopic to Anosov ⋮ Measure-theoretical properties of center foliations ⋮ Transitivity of conservative diffeomorphisms isotopic to Anosov on ⋮ Partial hyperbolicity and classification: a survey ⋮ On the Bernoulli property for certain partially hyperbolic diffeomorphisms ⋮ Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus ⋮ Ergodic components of partially hyperbolic systems ⋮ Accessibility of derived-from-Anosov systems
Cites Work
- Tori with hyperbolic dynamics in 3-manifolds
- New criteria for ergodicity and nonuniform hyperbolicity
- Hölder foliations
- Partial hyperbolicity and ergodicity in dimension three
- On the ergodicity of partially hyperbolic systems
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Foliations with measure preserving holonomy
- Partial hyperbolicity, Lyapunov exponents and stable ergodicity
- Stable ergodicity and julienne quasi-conformality
- Stably ergodic diffeomorphisms
- Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
- Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
- COMPONENTS OF TOPOLOGICAL FOLIATIONS
- Lyapunov functions and expansive diffeomorphisms on 3D-manifolds
- $C^1$-homogeneous compacta in $\mathbb {R}^n$ are $C^1$-submanifolds of $\mathbb {R}^n$
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