%0 Journal Article
%T Quasisymmetric rigidity of Sierpinski carpets $F_{n,p}$
%A Jinsong Zeng
%A Weixu Su
%J Mathematics
%D 2013
%I arXiv
%R 10.1017/etds.2013.111
%X We study a new class of square Sierpi\'nski carpets $F_{n,p}$ ($5\leq n, 1\leq p<\frac{n}{2}-1$) on $\mathbb{S}^2$, which are not quasisymmetrically equivalent to the standard Sierpi\'{n}ski carpets. We prove that the group of quasisymmetric self-maps of each $F_{n,p}$ is the Euclidean isometry group. We also establish that $F_{n,p}$ and $F_{n',p'}$ are quasisymmetrically equivalent if and only if $(n,p)=(n',p')$.
%U http://arxiv.org/abs/1304.2078v2