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Participants of the Special Year in Ergodic Theory
Finitarily Splitting Skew Products
Other than permanent faculty of University of Maryland
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anisotropic Kepler problem assume Borel measure boundaries cocycle collision manifold collision orbits compact construction continuous functions continuous homomorphism Corollary corresponding countable define definition denote dense disjoint dyadic rational ejection orbits entropy equation equivalent ergodic measure Ergodic Theory example exists finitarily Bernoulli finitarily isomorphic finitarily splits finitary finite code follows given group automorphisms Hence homomorphism homothetic orbits hyperbolic implies induced transformation infinitely integers Interval exchange transformations invariant measure isomorphic k-strip Keane Kepler problem Lebesgue measure Let f Math matrix meager null set minimal self-joinings nonsingular notations null set open sets partition positive entries probability measure product of elements proof of Theorem Proposition r-triple Rauzy Remark rest points satisfies Property sequence singularity skew product space subpartition subset Suppose three body problem tion topological triple collision uniquely ergodic unstable manifold weak specification X G A X,ir zero