Faculté des sciences et de médecine

## Canonical parameterizations of metric disks

### In: Duke Mathematical Journal, 2020, vol. 169, no. 4, p. 761–797

We use the recently established existence and regularity of area and energy minimizing disks in metric spaces to obtain canonical parameterizations of metric surfaces. Our approach yields a new and conceptually simple proof of a well-known theorem of Bonk and Kleiner on the existence of quasisymmetric parameterizations of linearly locally connected, Ahlfors 2-regular metric 2-spheres.... More