Mixing Sets for Rigid Transformations

نویسندگان

چکیده

It is shown that, for any infinite set $$M\subset\mathbb N$$ of density zero, there exists a rigid measure-preserving transformation probability space which mixing along $$M$$ . As examples, Gaussian actions and Poisson suspensions over rank-one constructions are considered. Analogues the obtained result group method not using also discussed.

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ژورنال

عنوان ژورنال: Mathematical Notes

سال: 2021

ISSN: ['1573-8876', '0001-4346', '1067-9073']

DOI: https://doi.org/10.1134/s0001434621090261