Random differences in Szemer\'edi's theorem and related results
Combinatorics
2014-05-07 v2 Dynamical Systems
Abstract
We introduce a new, elementary method for studying random differences in arithmetic progressions and convergence phenomena along random sequences of integers. We apply our method to obtain significant improvements on previously known results.
Keywords
Cite
@article{arxiv.1307.1922,
title = {Random differences in Szemer\'edi's theorem and related results},
author = {Nikos Frantzikinakis and Emmanuel Lesigne and Máté Wierdl},
journal= {arXiv preprint arXiv:1307.1922},
year = {2014}
}
Comments
30 pages