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Finitarily Splitting Skew Products
Other than permanent faculty of University of Maryland
Gerber NSF Postdoctoral Fellow the whole year
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anisotropic Kepler problem assume Borel measure boundaries cocycle code of length collision manifold collision orbits compact construction continuous functions continuous homomorphism Corollary corresponding countable define definition denote disjoint dyadic rational ejection orbits elements of f2(4 entropy equation 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 infinitely integers Interval exchange transformations invariant measure isomorphic k-strip Keane Kepler problem Lebesgue measure Let f Let G 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 Remark rest points satisfies Property sequence singular skew product space subset Suppose three body problem tion topological triple collision uniquely ergodic unstable manifold weak specification X G A X,ir zero