A survey on Newhouse thickness, fractal intersections and patterns
Analysis of PDEs
2022-12-16 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
In this article, we introduce a notion of size for sets called thickness that can be used to guarantee that two Cantor sets intersect (the Gap Lemma), and show a connection among Thickness, Schmidt Games and Patterns. We work mostly in the real line, but we also introduce the topic in higher dimensions.
Cite
@article{arxiv.2212.02023,
title = {A survey on Newhouse thickness, fractal intersections and patterns},
author = {Alexia Yavicoli},
journal= {arXiv preprint arXiv:2212.02023},
year = {2022}
}
Comments
26 pages