Ergodicity of Anosov actions

DOI10.1007/BF01418639zbMath0236.58007OpenAlexW2059199007MaRDI QIDQ2552345

Michael Shub, Charles C. Pugh

Publication date: 1972

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142117

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Dynamical systems with hyperbolic behavior (37D99)

Related Items (41)

GEOMETRICAL AND MEASURE-THEORETIC STRUCTURES OF MAPS WITH A MOSTLY EXPANDING CENTER ⋮ First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity ⋮ New geometric examples of Anosov actions ⋮ Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms ⋮ Stably ergodic dynamical systems and partial hyperbolicity ⋮ On Livšic's theorem, superrigidity, and Anosov actions of semisimple Lie groups ⋮ Uniform hyperbolicity in nonflat billiards ⋮ Ergodic Attractors ⋮ Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces ⋮ An information cocycle for groups of non-singular transformations ⋮ Classical and quantum ergodicity on orbifolds ⋮ Nil-Anosov actions ⋮ Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation ⋮ Nonabsolutely continuous foliations for an Anosov diffeomorphism ⋮ Structural Stability and Group Cohomology ⋮ Mixing rates of the geometrical neutral Lorenz model ⋮ Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors ⋮ Measure-theoretical properties of center foliations ⋮ Continuity of topological entropy for perturbation of time-one maps of hyperbolic flows ⋮ Geometric properties of the scattering map of a normally hyperbolic invariant manifold ⋮ Ergodic components of partially hyperbolic systems ⋮ Non-absolutely continuous foliations ⋮ Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle ⋮ Compact dynamical foliations ⋮ On the ergodicity of partially hyperbolic systems ⋮ The ergodic theory of axiom A flows ⋮ Lyapunov exponents and rigidity of Anosov automorphisms and skew products ⋮ A new criterion of physical measures for partially hyperbolic diffeomorphisms ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ Transitivity of codimension-one Anosov actions of ℝ^k on closed manifolds ⋮ Partially hyperbolic dynamics in dimension three ⋮ Limit theorems for partially hyperbolic systems ⋮ Entropy along expanding foliations ⋮ A \(\lambda \)-lemma for foliations ⋮ Stable ergodicity ⋮ Random entropy expansiveness for diffeomorphisms with dominated splittings ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability ⋮ TWO NOTES ABOUT THE ERGODICITY OF PARTIALLY HYPERBOLIC SYSTEMS ⋮ Sinai–Ruelle–Bowen measures for N-dimensional derived from Anosov diffeomorphisms ⋮ Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems

Cites Work

• SOME SMOOTH ERGODIC SYSTEMS
• Foliations and noncompact transformation groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ergodicity of Anosov actions