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

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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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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX, 78712, USA

    Andrey Gogolev

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  1. Andrey Gogolev
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Correspondence to Andrey Gogolev.

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Gogolev, A. How typical are pathological foliations in partially hyperbolic dynamics: An example. Isr. J. Math. 187, 493–507 (2012). https://doi.org/10.1007/s11856-011-0088-3

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  • DOI: https://doi.org/10.1007/s11856-011-0088-3

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