CONSTRUCTING HERMAN RINGS BY TWISTING ANNULUS HOMEOMORPHISMS
2009 ◽
Vol 86
(1)
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pp. 139-143
AbstractLet F(z) be a rational map with degree at least three. Suppose that there exists an annulus $H \subset \widehat {\mathbb {C}}$ 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.
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2001 ◽
Vol 28
(4)
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pp. 243-246
1996 ◽
Vol 16
(6)
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pp. 1323-1343
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1994 ◽
Vol 14
(2)
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pp. 391-414
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2012 ◽
Vol 33
(4)
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pp. 1178-1198
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1973 ◽
Vol 2
(3)
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pp. 221-224
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1985 ◽
Vol 5
(3)
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pp. 279-288
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