科研之友
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摘要
We prove the form of dynamical rigidity of transcendental meromorphic functions which asserts that if two tame transcendental meromorphic functions restricted to their Julia sets are topologically conjugate via a locally bi-Lipschitz homeomorphism, then they, treated as functions defined on the entire complex plane C, are topologically conjugate via an affine map, i.e. a map from C to C of the form z bar right arrow az + b. As an intermediate step we show that no tame transcendental meromorphic function is essentially affine.
- 出版日期2012-8
