A proof of Thurston's topological characterization of rational functions
A proof of Thurston's topological characterization of rational functions
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DOI：
10.1007/bf02392534
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发表时间：
1993-09
期刊：
影响因子：
3.7
通讯作者：
A. Douady;J. Hubbard
中科院分区：
文献类型：
--
作者：
A. Douady;J. Hubbard
本文所证明的准则是Thurston在1982年11月提出的。瑟斯顿在几个场合发表了他的证明，特别是在1983年德卢斯举行的NSF夏季会议上，其中一位作者（JHH）出席了会议。根据这些讲座中不同讲者的笔记，我们重新构造了一个我们尽可能精确的证明。由于这需要我们做一定的工作，我们认为将这个证明呈现给读者可能会有所帮助。我们感谢Dennis Sullivan提供的有用的对话，以及Fritz yon Haesseler，尤其是Ben Wittner提供的写作和宝贵的建议。在第一个版本完成后，Clifford Earle指出，在[B]中可以找到比我们已有的更好的估计。
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference in Duluth, 1983, where one of the authors (JHH) was present. Using the notes of various attendants at these lectures, we have reconstructed a proof that we have made as precise as we could. Since this required a certain amount of work on our part, we thought it might be of some use to present this proof to the reader. We thank Dennis Sullivan for useful conversations, and Fritz yon Haesseler and especially Ben Wittner for help with the writing and valuable suggestions. After the first version was written, Clifford Earle pointed out that better estimates than what we had were to be found in [B].