Pointwise characteristic factors for the multiterm return times theorem
Dynamical Systems
2011-09-07 v2
Abstract
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L^2-characteristic for certain nonconventional averages and prove that these factors are pointwise characteristic for the multidimensional return times averages.
Cite
@article{arxiv.1012.3132,
title = {Pointwise characteristic factors for the multiterm return times theorem},
author = {I. Assani and K. Presser},
journal= {arXiv preprint arXiv:1012.3132},
year = {2011}
}
Comments
31 pages Submitted and Accepted to ETDS Dan Rudolph Memorial Volume. This version is the final accepted copy and includes all of the revisions recommended by the referees