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

2009/07/21 by Andrey Gogolev, Gogolev, Andrey
Mathematics · #37D20 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37D20 #msc:37D30

paper · pdf · doi:10.48550/arxiv.0907.3533

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

arxiv created 2010/06/24 · arxiv updated 2010/06/25

Abstract

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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