IP-rigidity and eigenvalue groups
Dynamical Systems
2019-02-20 v4
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.
Cite
@article{arxiv.1203.2257,
title = {IP-rigidity and eigenvalue groups},
author = {Jon. Aaronson and Maryam Hosseini and Mariusz Lemanczyk},
journal= {arXiv preprint arXiv:1203.2257},
year = {2019}
}
Comments
Some converses added