A hyperbolic diffeomorphism with countably many ergodic components near identity
classification
🧮 math.DS
keywords
componentscountablydiffeomorphismergodichyperbolicidentitymanyarbitrarily
read the original abstract
We construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact Riemannian manifold which has countably many ergodic components and is arbitrarily close to the identity map.
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