How typical are pathological foliations in partially hyperbolic dynamics: an example

Details How typical are pathological foliations in partially hyperbolic dynamics: an example How typical are pathological foliations in partially hyperbolic dynamics: an example

2009-07-21

arxiv.org/abs/0907.3533v2

Mathematics

Dynamical Systems

10 pages, 2 figures; minor additions and corrections in the second version

Scientific paper

We show that for a large space of volume preserving partially hyperbolic
diffeomorphisms of the 3-torus with non-compact central leaves the central
foliation generically is non-absolutely continuous.

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