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.
Newton mapnon-renormalizablerigidityinvariant line field
Pascale Roesch、Yongcheng Yin、Jinsong Zeng
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Institut de Mathématiques de Toulouse,Université Paul Sabatier,Toulouse 31062,France
School of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China
College of Mathematics and Statistics,Shenzhen University,Shenzhen 518061,China
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