Geodesic
Description of $\pi$-partition of a~diffeomorphism with invariant measure
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 29-44.

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For a diffeomorphism of a smooth compact Riemann manifold, retaining a measure equivalent to Riemann volume, a special invariant partition is constructed on a set where at least one value of the characteristic Lyapunov indicators is nonzero. This partition possesses properties analogous to the properties of partition into global condensing sheets for Y-diffeomorphisms while, as the complement to this set, there is partition into points. It is proven that the measurable hull of this partition coincides with the $\pi$-partition of a diffeomorphism. 
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     title = {Description of $\pi$-partition of a~diffeomorphism with invariant measure},
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     year = {1977},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a3/}
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Ya. B. Pesin. Description of $\pi$-partition of a~diffeomorphism with invariant measure. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 29-44. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a3/