Nonuniformly hyperbolic K-systems are Bernoulli
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Publication:4879275
DOI10.1017/S0143385700008695zbMath0853.58081OpenAlexW2053579306MaRDI QIDQ4879275
Cymra Haskell, Nikolai I. Chernov
Publication date: 27 May 1996
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700008695
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Cites Work
- Ergodicity of classical billiard balls
- Principles for the design of billiards with nonvanishing Lyapunov exponents
- Billiards with Pesin region of measure one
- On the ergodic properties of nowhere dispersing billiards
- Bernoulli flows over maps of the interval
- Markov partitions for dispersed billiards
- New proof of Sinai's formula for the entropy of hyperbolic billard systems. Application to Lorentz gases and Bunimovich stadiums
- On the \(K\)-property of some planar hyperbolic billiards
- Anosov flows with Gibbs measures are also Bernoullian
- Billiards and Bernoulli schemes
- Bernoulli maps of the interval
- Statistical properties of the periodic Lorentz gas. Multidimensional case
- Limit theorems and Markov approximations for chaotic dynamical systems
- Ergodic automorphisms of the infinite torus are Bernoulli
- Bernoulli shifts with the same entropy are isomorphic
- Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
- Two Bernoulli shifts with infinite entropy are isomorphic
- Geodesic flows are Bernoullian
- Structure and continuity of measurable flows
- Statistical properties of two-dimensional hyperbolic billiards
- β-automorphisms are Bernoulli shifts
- Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
- Perturbed billiard systems II. Bernoulli properties
- Bernoulli equilibrium states for axiom A diffeomorphisms
- ON A CLASS OF SPECIAL FLOWS
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
- Dynamical systems with elastic reflections
- Statistical properties of chaotic systems
