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math.DS2018★ 2 cited
Rigidity of non-renormalizable Newton maps
Pascale Roesch, Yongcheng Yin, Jinsong Zeng
Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-c…
math.DS2018
Dynamics of Newton maps
Xiaoguang Wang, Yongcheng Yin, Jinsong Zeng
In this paper, we study the dynamics of Newton maps for arbitrary polynomials. Let be an arbitrary polynomial with at least three distinct roots, and be its Newton map. It…