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

Jiangtao Li, Zhao Shen, Yufeng Wu

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