Rigidity of non-renormalizable Newton maps
作者机构:Institut de Mathématiques de ToulouseUniversite Paul SabatierToulouse 31062France School of Mathematical SciencesZhejiang UniversityHangzhou 310027China College of Mathematics and StatisticsShenzhen UniversityShenzhen 518061China
出 版 物:《Science China Mathematics》 (中国科学(数学)(英文版))
年 卷 期:2024年第67卷第4期
页 面:855-872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: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)
主 题:Newton map non-renormalizable rigidity invariant line field
摘 要:Non-renormalizable Newton maps are *** 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.