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arXiv · 1210.5202

Cube spaces and the multiple term return times theorem

Pavel Zorin-Kranich
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Abstract

We give a new proof of Rudolph's multiple term return times theorem based on Host-Kra structure theory. Our approach provides characteristic factors for all terms, works for arbitrary tempered Følner sequences and also yields a multiple term Wiener-Wintner-type return times theorem for nilsequences.

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Pavel Zorin-Kranich. 2013-01-10. Cube spaces and the multiple term return times theorem. https://doi.org/10.1017/etds.2013.9

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