数学
共形映射
均质化(气候)
仿射变换
三角测量
极限长度
猜想
黎曼曲面
纯数学
数学分析
几何学
共形场论
生态学
生物
生物多样性
作者
Oleg Ivrii,Vladimir Marković
标识
DOI:10.4310/jdg/1689262063
摘要
In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map, confirming a conjecture of K. Stephenson. We also show that on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed.
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