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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     author = {S. V. Tikhonov},
     title = {On relation of measure-theoretic and special properties of $\mathbb Z^d$-actions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1179--1192},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a15/}
}
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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/