Geodesic
Mixing Sets for Rigid Transformations
Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 576-583.

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It is shown that, for any infinite set $M\subset\mathbb N$ of density zero, there exists a rigid measure-preserving transformation of a probability space which is mixing along $M$. As examples, Gaussian actions and Poisson suspensions over infinite rank-one constructions are considered. Analogues of the obtained result for group actions and a method not using Gaussian and Poisson suspensions are also discussed.
Keywords: measure-preserving transformation, mild mixing, rigidity, mixing along a set, rank-one action
Mots-clés : Gaussian action, Poisson suspension. 
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V. V. Ryzhikov. Mixing Sets for Rigid Transformations. Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 576-583. http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a7/

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