2 papers
math.NT2026
Intersections of Cantor sets with hyperbolas and continuous images
Yi Cai, Xiu Chen, Lipeng Wang
Given , let \begin{equation*} C_λ=\set{(1-λ)\sum_{i=1}^\infty d_iλ^{i-1}:d_i\in\set{0,1}} \end{equation*} be the middle Cantor sets with convex hull . We…
math.CA2025
The generalized upper box dimension
Lipeng Wang, Wenxia Li
We introduce the generalized upper box dimension which is defined for any set, whether the set is bounded or unbounded. We study basic properties of the generalized upper box dimen…