中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： 曾劲松（广州大学）
题 目：Invariant graphs of Newton maps
时 间：2017.08.22（星期二），14 :30-16:30
地 点：数学院南楼N902室
摘 要：In this talk, I will construct certain invariant graphs of Newton rational maps. The approach is quite different from that of Mikulich-Ruckert-Schleicher's. Based on these graphs and KSS-theory and Kahn-Lyubich Lemma, one can prove that the boundaries of all fixed Fatou components of Newton maps are locally connected, which generalizeds Pascale's result on cubic Newton maps.
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