A Survey on Newhouse Thickness, Fractal Intersections and Patterns

In this article, we introduce a notion of size for sets, called the 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 di...

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Bibliographic Details
Main Author: Alexia Yavicoli
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/27/6/111