Rigidity of non-renormalizable Newton maps  

作　　者：Pascale Roesch Yongcheng Yin Jinsong Zeng 

机构地区：[1]Institut de Mathématiques de Toulouse,Universite Paul Sabatier,Toulouse 31062,France [2]School of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China [3]College of Mathematics and Statistics,Shenzhen University,Shenzhen 518061,China

出　　处：《Science China Mathematics》2024年第4期855-872,共18页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grants Nos.12131016 and 12271115);the Fundamental Research Funds for the Central Universities(Grant No.2021FZZX001-01)。

摘　　要：Non-renormalizable Newton maps are rigid.More precisely,we prove that their Julia sets carry no invariant line fields and that a topological conjugacy between them is equivalent to a quasiconformal conjugacy.

关 键 词：Newton map non-renormalizable RIGIDITY invariant line field 

分 类 号：O189[理学—数学]