摘要
共形粘合在Teichmu¨ller理论和拟共形映射的发展中起着关键作用。文中应用有界度圆填充构造了由一个拟对称映射诱导的共形粘合映射及其相关拟圆周的离散近似,并证明了它们的收敛性。这为共形粘合映射提供了一种更一般的离散近似方法。
Conformal welding plays an important role in the development of Teichmuller theory and quasi- conformal maps. The discrete approximations of conformal welding and associated quasicircle induced by a quasisymmetry mapping are constructed using circle packings with bounded degree, and their conver- gence is proved. This provides a more general approach for approximating conformal welding mappings.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第4期34-38,44,共6页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(11161004)
广西自然科学基金资助项目(2013GXNSFAA019015)
广西混杂计算重点实验室资助项目
关键词
圆填充
共形粘合
拟圆周
拟对称
circle packing
conformal welding
quasicircle
quasisymmetry
