IP-rigidity and eigenvalue groups

Mathematics – Dynamical Systems

Scientific paper

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some results extended and proposition 3.3 added

Scientific paper

We examine the class of increasing sequences of natural numbers which are
IP-rigidity sequences for some weakly mixing mpt. This property is related to
certain subgroups of the circle including eigenvalue groups of dyadic towers
over the adding machine. We give examples, including a super-lacunary sequence
which is not IP-rigid.

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