Bernoulli diffeomorphisms with n − 1 non-zero exponents

DOI10.1017/S0143385700001127zbMath0485.58011MaRDI QIDQ3945270

Michael Brin

Publication date: 1981

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Bernoulli shiftBernoulli diffeomorphism of a compact Riemannian manifoldBernoulli diffeomorphism on an n-manifold which has (n-1) non-zero characteristic exponents

Mathematics Subject Classification ID

Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

The 𝐶¹ density of nonuniform hyperbolicity in 𝐶^{𝑟} conservative diffeomorphisms ⋮ SRB measures for pointwise hyperbolic systems on open regions ⋮ Decay of correlations for some non-uniformly hyperbolic attractors ⋮ On the Bernoulli property for certain partially hyperbolic diffeomorphisms

Cites Work

• Description of \(\pi\)-partition of a diffeomorphism with invariant measure
• Bernoulli diffeomorphisms on surfaces
• Products of knots, branched fibrations and sums of singularities
• Smooth non-Bernoulli k-automorphisms
• Differential Topology
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS

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