Conformal maps $f$ of the disk into itself have the property that $\dim f^{-1}(F) \leq \dim F$ for any set $F$ on the unit circle. Journal Information This monthly ...

Conformal mapping and surface parameterization techniques form a cornerstone of modern computational geometry and applied mathematics. By enabling the transformation of complex surfaces onto canonical ...

For random collections of self-avoiding loops in two-dimensional domains, we define a simple and natural conformal restriction property that is conjecturally satisfied by the scaling limits of ...