Partially hyperbolic dynamics in dimension three
From MaRDI portal
Publication:4962519
DOI10.1017/etds.2016.142zbMath1407.37043arXiv1501.00932OpenAlexW2611970051MaRDI QIDQ4962519
Raúl Ures, Federico Rodriguez Hertz, Pablo D. Carrasco, M. A. Rodriguez Hertz
Publication date: 5 November 2018
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.00932
Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items
Ergodicity and partial hyperbolicity on Seifert manifolds ⋮ Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds ⋮ Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3. II: Branching foliations ⋮ Random products of standard maps ⋮ On bifurcation of statistical properties of partially hyperbolic endomorphisms ⋮ Research Announcement: Partially Hyperbolic Diffeomorphisms Homotopic to the Identity on 3-Manifolds ⋮ Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence ⋮ Partial hyperbolicity and classification: a survey ⋮ Classification of partially hyperbolic diffeomorphisms under some rigid conditions ⋮ New examples of stably ergodic diffeomorphisms in dimension 3 ⋮ Invariance of entropy for maps isotopic to Anosov *
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A non-dynamically coherent example on \(\mathbb T^3\)
- Partial hyperbolicity and foliations in \(\mathbb{T}^3\)
- Diffeomorphisms with positive metric entropy
- Tori with hyperbolic dynamics in 3-manifolds
- New criteria for ergodicity and nonuniform hyperbolicity
- Hölder foliations
- A regularity lemma for functions of several variables
- Partial hyperbolicity and ergodicity in dimension three
- Dynamical coherence and center bunching
- On the ergodicity of partially hyperbolic systems
- Partially hyperbolic diffeomorphisms of 3-manifolds with abelian fundamental groups
- Transitive Anosov flows and pseudo-Anosov maps
- Anosov flows on new three manifolds
- Contributions to the stability conjecture
- Generalizations of the Bonatti-Langevin example of Anosov flow and their classification up to topological equivalence
- Anosov flows in 3-manifolds
- Stably ergodic dynamical systems and partial hyperbolicity
- Partial hyperbolicity, Lyapunov exponents and stable ergodicity
- Stable ergodicity and julienne quasi-conformality
- Transitive partially hyperbolic diffeomorphisms on 3-manifolds
- Stably ergodic diffeomorphisms
- Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
- Center-unstable foliations do not have compact leaves
- Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
- Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples
- Foliations by planes
- Sur les feuilletages des variétés de dimension trois
- Ergodicity of Anosov actions
- Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
- Pointwise Periodic Homeomorphisms
- Stable ergodicity of the time-one map of a geodesic flow
- Expansive flows on Seifert manifolds and on torus bundles
- Un exemple de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension
- Stability of accessibility
- Leaf conjugacies on the torus
- Pointwise partial hyperbolicity in three-dimensional nilmanifolds
- SOME SMOOTH ERGODIC SYSTEMS
- Differentiable dynamical systems
- Invariant manifolds
