IP-rigidity and eigenvalue groups

Jon Aaronson; Maryam Hosseini; Mariusz Lemańczyk

doi:10.1017/etds.2012.186

IP-rigidity and eigenvalue groups

Jon Aaronson, Maryam Hosseini, Mariusz Lemańczyk

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We examine the class of increasing sequences of natural numbers which are IP-rigidity sequences for some weakly mixing probability-preserving transformation. This property is closely related to the uncountability of the eigenvalue group of a corresponding non-singular transformation. We give examples, including a super-lacunary sequence which is not IP-rigid.

Original language	English
Pages (from-to)	1057-1076
Number of pages	20
Journal	Ergodic Theory and Dynamical Systems
Volume	34
Issue number	4
DOIs	https://doi.org/10.1017/etds.2012.186
State	Published - Aug 2014

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10.1017/etds.2012.186

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IP-rigidity and eigenvalue groups

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