Induced Maps of Hyperbolic Bernoulli Systems
نویسنده
چکیده
Let (f, T n, μ) be a linear hyperbolic automorphism of the n-torus. We show that if A ⊂ T n has a boundary which is a finite union of C1 submanifolds which have no tangents in the stable (Es) or unstable (Eu) direction then the induced map on A, (fA, A, μA) is also Bernoulli. We show that Poincáre maps for uniformly transverse C1 Poincáre sections in smooth Bernoulli Anosov flows preserving a volume measure are Bernoulli if they are also transverse to the strongly stable and strongly
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