Quasisymmetric rigidity of Sierpinski carpets $F_{n,p}$

Jinsong Zeng, Weixu Su

We study a new class of square Sierpiński carpets $F_{n,p}$ ($5\le n,1\le p<\frac{n}{2}-1$) on ${\mathbb{S}}^2$, which are not quasisymmetrically equivalent to the standard Sierpi…