【10831004】复动力系统若干问题研究国家自然基金项目

复动力系统若干问题研究

项目批准号： 10831004

批准年份： 2008

学科分类： A0201.单复变函数论

项目负责人：崔贵珍

资助类别：重点项目

负责人职称：教授

依托单位：中国科学院数学与系统科学研究院

资助金额： 120万元

关键词：重整化;复动力系统;局部连通性;双曲性;Julia集

起止时间： 2009-01-01到2012-12-31

中英文摘要
结题摘要
结题报告
项目成果
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序号	标题	类型	作者
1	Julia集和等势线上的Chebyshev多项式	期刊论文	肖映青、邱维元\|
2	On the quasiconformal surgery of rational maps with Cantor Julia sets	期刊论文	Yongcheng Yin\|W. Peng\|Y. Zhai\|
3	Hausdorff dimensions of quasi-circles varying in the universal Teichmuller space	期刊论文	Shengjian Wu\|
4	Dynamics of Transcendental Entire Maps on Berkovich Affine Line	期刊论文	Yuefei Wang\|A. Fan\|
5	Dynamics of McMullen maps	期刊论文	Weiyuan Qiu\|X. Wang\|Yongcheng Yin\|
6	A characterization of hyperbolic rational maps	期刊论文	Cui, Guizhen\|Tan, Lei\|
7	No invariant line fields on Cantor Julia sets	期刊论文	Yongcheng Yin\|Y. Zhai\|
8	The rational maps have no Herman rings	期刊论文	Y. Xiao\|Weiyuan Qiu\|
9	On the structure of Fatou domains	期刊论文	Cui GuiZhen\|Peng WenJuan\|
10	Value distribution theory and the research of Yang Lo	期刊论文	Shengjian Wu\|W. Hayman\|
11	Stable Teichmüller mappings of type (0, 4)	期刊论文	Shengjian Wu\|Y. Huang\|
12	GEOMETRICALLY FINITE AND SEMI-RATIONAL BRANCHED COVERINGS OF THE TWO-SPHERE	期刊论文	Cui, Guizhen\|Jiang, Yunping\|
13	On the growth of solutions of second order complex differential equation with meromorphic coefficients	期刊论文	Shengjian Wu\|P. Wu\|J. Zhu\|
14	Extremal polygonal quasiconformal mappings and biLipschitz mappings	期刊论文	Shengjian Wu\|H. Huang\|
15	The Discrete Subgroups and Jorgensen Inequality of SL(m;Cp)	期刊论文	Weiyuan Qiu\|J. Yang\|Yongcheng Yin\|
16	A note on quadratic rational map	期刊论文	Shengjian Wu\|L. Sheng\|
17	P1(Cp)上有理函数的Julia集是一致完全集	期刊论文	邱维元\|杨静桦\|尹永成\|
18	Feigenbaum Julia sets of Yang-Lee zeros	期刊论文	Yongcheng Yin\|J. Qiao\|J. Gao\|
19	Convex hull theorem for multiplyconnected domains in the plane with a estimate of the quasiconformal constant	期刊论文	Shengjian Wu\|G. Liu\|
20	Parabolic Rectangle Packing	期刊论文	Jinsong Liu\|X. Huang\|
21	ON THE TOPOLOGY OF WANDERING JULIA COMPONENTS	期刊论文	Cui, Guizhen\|Peng, Wenjuan\|Tan, Lei\|
22	A new characterization for isometries by triangles	期刊论文	Yuefei Wang\|Baokui Li\|
23	Shared values, Picard values and normality	期刊论文	Yuefei Wang\|J. Chang\|
24	Hausdorff dimension of quasi-cirles of polygonal mappings and its applications.	期刊论文	Shengjian Wu\|S. Huo\|S. Tang\|
25	Isometries in hyperbolic spaces	期刊论文	Yuefei Wang\|M. Huang\|X. Wang\|
26	Distortion control of conjugacies between quadratic polynomials	期刊论文	Cui GuiZhen\|Tan Lei\|
27	On Bank-Laine type functions	期刊论文	Yuefei Wang\|J. Chang\|
28	Connectivity of Mandelbrot set for the family of renormalization transformations	期刊论文	X. Wang\|Weiyuan Qiu\|Yongcheng Yin\|J. Qiao\|J. Gao\|
29	On dynamics of $e^{2\pi iheta}\sin z+\alpha\sin^3 z$	期刊论文	Yongcheng Yin\|F. Yang\|
30	Fatou Components and Julia Sets of Singularly Perturbed Rational Maps with Positive Parameter	期刊论文	Weiyuan Qiu\|L. Xie\|Yongcheng Yin\|
31	Proof of Branner-Hubbard’s conjecture on Cantor Julia sets	期刊论文	Weiyuan Qiu\|Yongcheng Yin\|
32	The Pseudo-affine transformations in R^2	期刊论文	Yuefei Wang\|B. Li\|X. Wang\|
33	On the Teichm\"uller Theory of Circle Patterns	期刊论文	Jinsong Liu\|Z. He\|
34	A tableau approach of the KSS nest	期刊论文	W. Peng\|Weiyuan Qiu\|P. Roesch\|L. Tan\|Yongcheng Yin\|
35	A new proof of the realization of cubic tableaux	期刊论文	Yongcheng Yin\|F. Yang\|
36	Normal and Quasinormal Families of Quasiregular Mappings	期刊论文	Jinsong Liu\|X. Huang\|
37	Quasihyperbolic metric and Quasisymmetric maps in metric spaces	期刊论文	Jinsong Liu\|X. Huang\|

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