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Rigidity for rational maps with Cantor Julia sets

Rigidity for rational maps with Cantor Julia sets

作     者:ZHAI Yu Department of Mathematics, Zhejiang University, Hangzhou 310027, China 

作者机构:Department of Mathematics Zhejiang University Hangzhou China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2008年第51卷第1期

页      面:79-92页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:This work was partially supported by the National Natural Science Foundation of China (Grant No. 10671178) 

主  题:Cantor Julia set rigidity puzzle piece bounded shape quasiconformally conjugate 37F12 

摘      要:In this paper, we prove that two rational maps with the Cantor Julia sets are quasicon- formally conjugate if they are topologically conjugate.

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