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(9月19日)Iteration at the Boundary of Newton's Method
来源: 陈黎   发布时间:2017-9-14   阅读次数:828
Title: Iteration at the Boundary of Newton's Method

Speaker: Hongming Nie(Indiana University-Bloomington)

Time: 1:30-2:30PM, September 19 (周二), 2017; 工商楼 200-9

Abstract: Let NM_d be the space of degree d>2 Newton's method. We study the dynamical behaviors as maps approach to the boundary of NM_d. We prove that for a given holomorphic family of degree d Newton's method, there are finitely many dynamical independent rescalings and, up to conjugacy, the corresponding rescaling limits are either degenerated Newton's method or polynomials. As an immediate consequence, the Hsia's conjecture holds for Newton's method over fields with residue characteristic zero.

联系人:叶和溪 yehexi@zju.edu.cn
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