Absolutely singular dynamical foliations

Details Absolutely singular dynamical foliations Absolutely singular dynamical foliations

2000-02-17

arxiv.org/abs/math/0002145v1

Mathematics

Dynamical Systems

9 pages. See also http://www.math.nwu.edu/~wilkinso

Scientific paper

10.1007/s002200100420

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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