Geodesic
Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation~$T$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 88-91.

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If an ergodic automorphism $T$ of a probability space is not partially rigid, then for any numbers $a\in(0,1)$ and $\varepsilon>0$ there exists a set $A$ such that all sets $T^i\!A$, $i>0$, are pairwise $\varepsilon$-independent.
Keywords: mixing, partial rigidity, measure-preserving transformation, $\varepsilon$-independence. 
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V. V. Ryzhikov. Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation~$T$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a9/

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