CONSTRUCTING HERMAN RINGS BY TWISTING ANNULUS HOMEOMORPHISMS

Journal of the Australian Mathematical Society

XIUMEI WANG¹ 

[1] GAOFEI ZHANG

关键词: primary 30D05;    secondary 37F10;    37F45;    32H50;   

DOI  :  10.1017/S1446788708000621

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let F(z) be a rational map with degree at least three. Suppose that there exists an annulussuch that (1) H separates two critical points of F, and (2) F:H→F(H) is a homeomorphism. Our goal in this paper is to show how to construct a rational map G by twisting F on H such that G has the same degree as F and, moreover, G has a Herman ring with any given Diophantine type rotation number.

【 授权许可】

Unknown