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Mathematics  2012 

Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics

DOI: 10.1088/0951-7715/26/4/1071

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Abstract:

In this work we study relations between regularity of invariant foliations and Lyapunov exponents of partially hyperbolic diffeomorphisms. We suggest a new regularity condition for foliations in terms of desintegration of Lebesgue measure which can be considered as a criterium for rigidity of Lyapunov exponents.

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