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arXiv · 1203.0142

Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics

Fernando Micena·Ali Tahzibi
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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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Fernando Micena, Ali Tahzibi. 2012-03-01. Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics. https://doi.org/10.1088/0951-7715%2F26%2F4%2F1071

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