Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.05808 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- The visible problem is related to the arithmetic on the fractals. The visibility of self-similar set has been studied in the past. In this work, we investigate the visibility of non-self-similar sets. We begin by analyzing the structure of $F^2_λ$, where $F^2_λ:=\set{x^2:x\in F_λ}$ and $F_λ$ is the middle $1-2λ$ Cantor set, we show that it lacks self-similarity. Due to the nonlinear phenomena exhibited by $F^2_λ$, we develop a different approach to characterize the visible set. %combining methods from fractal theory, numerical computation, and dynamical systems theory. Our results also reveal that the visible set may contain a closed interval within a large range of $λ$.