Geodesic
Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$
Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 889-895 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that an automorphism of a Lebesgue space may admit a partial multiple mixing on subsequences of the form $\{h_n\}$ and $\{3h_n\}$ even when its inverse does not have this property. 
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V. V. Ryzhikov. Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$. Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 889-895. http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a8/

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