Article contents
CONSTRUCTING HERMAN RINGS BY TWISTING ANNULUS HOMEOMORPHISMS
Published online by Cambridge University Press: 01 February 2009
Abstract
Let F(z) be a rational map with degree at least three. Suppose that there exists an annulus such 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.
Keywords
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 86 , Issue 1 , February 2009 , pp. 139 - 143
- Copyright
- Copyright © Australian Mathematical Society 2009
Footnotes
The second author is partially supported by NJU-0203005116.
References
- 1
- Cited by