Mixing sets for rigid transformations

Valery V. Ryzhikov

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arXiv · 2104.12705

Mixing sets for rigid transformations

Valery V. Ryzhikov

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Abstract

For any infinite zero-density integer set M, we found a rigid measure-preserving transformation mixing along M by answering Bergelson's question. Gaussian and Poisson suspensions over infinite constructions are suggested as suitable examples. We also discuss rigid rank one transformations of finite measure that mix along a given set, and some analogues for group actions.

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BibTeX RIS

Valery V. Ryzhikov. 2021-04-26. Mixing sets for rigid transformations. https://arxiv.org/abs/2104.12705

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