Erd\H{o}s' problem and $(n, \frac{1}{3})$-separated sets
Dynamical Systems
2025-12-30 v2 Combinatorics
Abstract
Inspired by the Erd\H{o}s' problem in Ramsey theory, we propose a dynamical version of the problem and answer it positively for circle maps.
Keywords
Cite
@article{arxiv.2405.12782,
title = {Erd\H{o}s' problem and $(n, \frac{1}{3})$-separated sets},
author = {Enhui Shi and Hui Xu},
journal= {arXiv preprint arXiv:2405.12782},
year = {2025}
}
Comments
We find a very simple proof of the main problem in the manuscript. So, we feel the idea in the manuscript is of no help to combinatorics