Ergodic components of partially hyperbolic systems

DOI10.4171/CMH/409zbMath1379.37071arXiv1409.8002OpenAlexW2962707195MaRDI QIDQ520759

Andy Hammerlindl

Publication date: 5 April 2017

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8002

zbMATH Keywords

laminationergodic decompositionpartial hyperbolicityAnosov flowaccessibility class

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Foliations in differential topology; geometric theory (57R30) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

Ergodicity and partial hyperbolicity on Seifert manifolds ⋮ Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ A chain transitive accessible partially hyperbolic diffeomorphism which is non-transitive ⋮ Joint integrability and spectral rigidity for Anosov diffeomorphisms ⋮ Erratum to: ``Ergodic components of partially hyperbolic systems ⋮ Rigidity of center Lyapunov exponents and \(su\)-integrability ⋮ Partially hyperbolic surface endomorphisms ⋮ Partial hyperbolicity and classification: a survey ⋮ Accessibility of derived-from-Anosov systems

Cites Work

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• A non-dynamically coherent example on \(\mathbb T^3\)
• Partially hyperbolic diffeomorphisms with compact center foliations
• Tori with hyperbolic dynamics in 3-manifolds
• Hölder foliations
• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Partial hyperbolicity and ergodicity in dimension three
• On the ergodicity of partially hyperbolic systems
• Partially hyperbolic diffeomorphisms of 3-manifolds with abelian fundamental groups
• Foliations with measure preserving holonomy
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Anosov diffeomorphisms constructed from \(\pi_1\) Diff\((S^n)\)
• Stable ergodicity and julienne quasi-conformality
• Stable ergodicity and Anosov flows
• Stably ergodic diffeomorphisms
• Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
• Codimension-1 partially hyperbolic diffeomorphisms with a uniformly compact center foliation
• Stability of mixing and rapid mixing for hyperbolic flows
• Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
• Ergodicity of Anosov actions
• Ergodicity and partial hyperbolicity on the 3-torus
• Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
• Solvable Groups Acting on the Line
• Generic Hamiltonian dynamical systems are neither integrable nor ergodic
• Stable ergodicity of skew products
• SOME SMOOTH ERGODIC SYSTEMS
• Anosov Diffeomorphisms on Tori
• On Codimension One Anosov Diffeomorphisms
• There are No New Anosov Diffeomorphisms on Tori
• Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets

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