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Absolutely singular dynamical foliations

David Ruelle·Amie Wilkinson
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Abstract

We show that for the C^1-open set of partially hyperbolic diffeomorphisms constructed in (M. Shub and A. Wilkinson, "Pathological foliations and removable zero exponents," Invent. math. 139 (2000) 3, 495-508), Lebesgue measure on the 3-torus decomposes as atomic measure along the leaves of the central foliation.

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David Ruelle, Amie Wilkinson. 2000-02-17. Absolutely singular dynamical foliations. https://doi.org/10.1007/s002200100420

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