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ON THE CONVERGENCE OF CIRCLE PACKINGS TO THE QUASICONFORMAL MAP

文献类型：期刊论文

作者Huang Xiaojun1; Shen Liang2
刊名ACTA MATHEMATICA SCIENTIA
出版日期2009-09-01
卷号29期号:5页码:1173-1181
关键词circle packing quasiconformal map complex dilation
ISSN号0252-9602
英文摘要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.
资助项目National Natural Science Foundation of China[10701084] ; Chongqing Natural Science Foundation[2008BB0151]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000270313100006
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8707]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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