New Applications of Ergodic Theory to Sets of Differences
Dynamical Systems
2025-07-22 v2 Combinatorics
Abstract
We apply the methods of ergodic theory to both simplify and significantly extend some classical results due to Stewart, Tijdeman, and Ruzsa. One of the notable features of our approach is the utilization of pointwise ergodic theory.
Keywords
Cite
@article{arxiv.2412.01185,
title = {New Applications of Ergodic Theory to Sets of Differences},
author = {Kabir Belgikar and Vitaly Bergelson and Gabriel Black and David Kruzel},
journal= {arXiv preprint arXiv:2412.01185},
year = {2025}
}
Comments
30 pages