ontheconvergenceofcirclepackingstothequasiconformalmap

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	ontheconvergenceofcirclepackingstothequasiconformalmap
	Huang Xiaojun 1; Shen Liang 2
	2009
发表期刊	actamathematicascientia
ISSN	0252-9602
卷号	29 期号:5 页码:1173
摘要	Rodin and Sullivan (1987) proved Thurston's conjecture that a scheme based on the Circle Packing Theorem converges to the Riemann mapping, thereby proved a refreshing geometric view of the Riemann Mapping Theorem. Naturally, we consider to use the ellipses to pack the bounded simply connected domain and obtain similarly a sequence simplicial homeomorphism between the ellipse packing and the circle packing. In this paper, we prove that these simplicial homeomorphism approximate a quasiconformal mapping from the bounded simply connected domain onto the unit disk with the modulus of their complex dilatations tending to 1 almost everywhere in the domain when the ratio of the longer axis and shorter axis of the ellipse tending to infinity.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Chongqing Natural Science Foundation]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/49589
专题	中国科学院数学与系统科学研究院
作者单位	1.重庆大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Huang Xiaojun,Shen Liang. ontheconvergenceofcirclepackingstothequasiconformalmap[J]. actamathematicascientia,2009,29(5):1173.
APA	Huang Xiaojun,&Shen Liang.(2009).ontheconvergenceofcirclepackingstothequasiconformalmap.actamathematicascientia,29(5),1173.
MLA	Huang Xiaojun,et al."ontheconvergenceofcirclepackingstothequasiconformalmap".actamathematicascientia 29.5(2009):1173.