With the help of hyper-ideal circle pattern theory, a discrete version of the classical uniformization theorems for surfaces represented as finite branched covers over the Riemann sphere as well as compact polyhedral surfaces with non-positive curvature was developed.
A. I. Bobenko, N. Dimitrov, and S. Sechelmann.
Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns.
Prof. Dr. Alexander I. Bobenko +
University: TU Berlin, Institut für Mathematik, MA 881
Address: MA 881
Tel: +49 (30) 314 24655
Dr. Nikolay Dimitrov +
University: TU Berlin