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arxiv: 0907.3533 · v2 · submitted 2009-07-21 · 🧮 math.DS

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

classification 🧮 math.DS
keywords centralhyperbolicpartiallycontinuousdiffeomorphismsdynamicsexamplefoliation
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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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