Bounded hyperbolic components of Newton maps.

浙江大学数学科学学院九十周年院庆系列活动之二十

报告人: 聂洪明 (Indiana University-Bloomington)

题  目: Bounded hyperbolic components of Newton maps.

时  间: 2018年6月15日(周五) 1:30PM-2:30PM

地  点：玉泉校区逸夫工商楼 200-9

摘  要： We investigate boundedness of hyperbolic components in the moduli space of quartic Newton maps. We prove the hyperbolic components possessing two distinct non-fixed attracting cycles are bounded. Moreover, under a natural assumption on the boundaries, we also show compactness results for some other types of hyperbolic components. This is a joint work with Kevin Pilgrim.

联系人：叶和溪 yehexi@zju.edu.cn

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