3 problems

Conformal-dimension characterization conjecture.

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…