Highly Influenced

@inproceedings{Danilenko2002MultipleAP, title={Multiple and Polynomial Recurrence for Abelian Actions in Infinite Measure}, author={Alexandre I. Danilenko and Cesar E. Silva}, year={2002} }

- Published 2002

We apply the (C, F )-construction from [Da] to produce a number of funny rank one infinite measure preserving actions of Abelian groups G with “unusual” multiple recurrence properties. In particular, we construct the following for each p ∈ N ∪ {∞}: (i) a p-recurrent action T = (Tg)g∈G such that (if p 6= ∞) no one transformation Tg is (p + 1)-recurrent for… CONTINUE READING

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