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Extending local analytic conjugacies
Author(s):
Hiroyuki
Inou
Journal:
Trans. Amer. Math. Soc.
363
(2011),
331-343.
MSC (2010):
Primary 37F10;
Secondary 32B10, 30D05
Posted:
August 25, 2010
MathSciNet review:
2719684
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Abstract:
We prove that if two globally-defined one-dimensional complex dynamics are locally analytically conjugate, then we extend the conjugacy to obtain global conjugacy by a correspondence. The most important case occurs when two rational maps have analytically conjugate polynomial-like restrictions. In this case, we prove that there exists another rational map which is semiconjugate to them both by some rational maps.
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Additional Information:
Hiroyuki
Inou
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
DOI:
10.1090/S0002-9947-2010-05049-4
PII:
S 0002-9947(2010)05049-4
Received by editor(s):
September 12, 2008
Received by editor(s) in revised form:
February 26, 2009
Posted:
August 25, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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