Cube spaces and the multiple term return times theorem
Dynamical Systems
2014-12-31 v2
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 F{\o}lner sequences and also yields a multiple term Wiener-Wintner-type return times theorem for nilsequences.
Cite
@article{arxiv.1210.5202,
title = {Cube spaces and the multiple term return times theorem},
author = {Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1210.5202},
year = {2014}
}
Comments
v2: 13 p., main result has been extended to tempered F{\o}lner sequences