Yufeng Wu

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math.CA2026

Intersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit Circle

Jiangtao Li, Zhao Shen, Yufeng Wu

For $0 < λ < 1/2$ , let $K_{λ}$ be the attractor of the iterated function system ${λ x, λ x + 1 - λ}$ , and put $C_{λ} = K_{λ} \times K_{λ}$ . We study the intersection \[ E_λ=C_λ\cap S^1 \] and the Min…

math.CA2026

Dimension drop for intersections of Cantor sets

Lai Jiang, Bing Li, Ruofan Li +1

Let $E \subset R$ be a self-similar set generated by a homogeneous iterated function system $Φ$ with contraction ratio $ρ \in (0, 1)$ . Assume that $Φ$ satisfies the open set…