具有锥奇点的超理想圆模式
Hyper-ideal circle patterns with cone singularities
摘要：
本研究的主要目的是了解几何超理想圆图案可以从给定的组合角度数据构建。我们设计了一个混合方法，包括一个拓扑/变形的方法与变分原理增强。以这种方式，连同在角度数据方面的超理想模式的表征的问题，我们通过凸优化来解决它们的可构造性。我们提出了一个新的证明的主要结果，从让-马克Schlenker的工作超理想圆图案开发的方法，是潜在的更适合于应用。
英文摘要：
The main objective of this study is to understand how geometric hyper-ideal circle patterns can be constructed from given combinatorial angle data. We design a hybrid method consisting of a topological/deformation approach augmented with a variational principle. In this way, together with the question of characterization of hyper-ideal patterns in terms of angle data, we address their constructability via convex optimization. We presents a new proof of the main results from Jean-Marc Schlenker's work on hyper-ideal circle patterns by developing an approach that is potentially more suitable for applications.
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