Name
Title | ||
|---|---|---|
Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns. |
Abstract | ||
|---|---|---|
With the help of hyper-ideal circle pattern theory, we have developed 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. We show that in the case of such surfaces discrete uniformization via hyper-ideal circle patterns always exists and is unique. We also propose a numerical algorithm, utilizing convex optimization, that constructs the desired discrete uniformization. |
Year | Venue | Field |
|---|---|---|
2015 | arXiv: Metric Geometry | Uniformization theorem,Topology,Uniformization (set theory),Pattern theory,Curvature,Mathematical analysis,Riemann sphere,Convex optimization,Mathematics |
DocType | Volume | Citations |
Journal | abs/1510.04053 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexander I. Bobenko | 1 | 182 | 17.20 |
| Nikolay Dimitrov | 2 | 0 | 0.68 |
| Stefan Sechelmann | 3 | 0 | 0.34 |