3 problems

Let $G$ be a Gromov hyperbolic group, and suppose that its Gromov boundary is homeomorphic to the standard Sierpiński carpet. A round carpet is a Sierpiński carpet realized in the…

Let $S_p$ be a standard Sierpiński carpet, and consider weak tangent spaces of $S_p$ at points of the carpet. A map between two such weak tangents is a suitably normalized quasisym…

Let $S_p$ be the standard Sierpiński carpet obtained by subdividing a square into a $p\times p$ grid and removing the central subsquare at each stage, with $p>3$. A quasisymmetric…