FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2002, VOLUME 8, NUMBER 4, PAGES 1179-1192
S. V. Tikhonov
Abstract
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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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