ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP

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	ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP
	Huang Xiaojun 1; Shen Liang 2
	2009-09-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:5 页码:1173-1181
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.
关键词	circle packing quasiconformal map complex dilation
语种	英语
资助项目	National Natural Science Foundation of China[10701084] ; Chongqing Natural Science Foundation[2008BB0151]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000270313100006
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8708
专题	中国科学院数学与系统科学研究院
通讯作者	Huang Xiaojun
作者单位	1.Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang Xiaojun,Shen Liang. ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP[J]. ACTA MATHEMATICA SCIENTIA,2009,29(5):1173-1181.
APA	Huang Xiaojun,&Shen Liang.(2009).ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP.ACTA MATHEMATICA SCIENTIA,29(5),1173-1181.
MLA	Huang Xiaojun,et al."ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP".ACTA MATHEMATICA SCIENTIA 29.5(2009):1173-1181.