Geodesic
On relation of measure-theoretic and special properties of $\mathbb Z^d$-actions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1179-1192.

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It is shown how using the $\kappa$-mixing property one can construct finite measure-preserving $\mathbb{Z}^{d}$-actions possessing different and even unusual properties. In the case of a “classical time” $\mathbb{Z}$ this approach was applied by Lemanczik and del Junco as an alternative to the so-called Rudolf's “counterexamples machine”, based on the notion of joining. 
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S. V. Tikhonov. On relation of measure-theoretic and special properties of $\mathbb Z^d$-actions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1179-1192. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a15/

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