A tableau approach of the KSS nest
A tableau approach of the KSS nest
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DOI：
10.1090/s1088-4173-10-00201-8
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发表时间：
2010-02
期刊：
影响因子：
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通讯作者：
W. Peng;Weiyuan Qiu;P. Roesch;L. Tan;Yongcheng Yin
中科院分区：
文献类型：
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作者：
W. Peng;Weiyuan Qiu;P. Roesch;L. Tan;Yongcheng Yin
KSS 巢是 [Ann.数学。 165（2007），749-841]。这个巢一旦与 KLLemma 结合，就被证明是一个强大的机器，在全纯动力学领域带来了一些重要的进步。我们在这里以画面形式展示 KSS 巢。这是布兰纳和哈伯德发明的一种有效的语言，用于处理拼图动态的复杂性。我们展示了在典型情况下如何将 KSS 嵌套和 KL 引理结合起来。其结果之一就是最近被证明的布兰纳-哈伯德猜想。我们在这里的估计可用于给出刚性属性的替代证明。
The KSS nest is a sophisticated choice of puzzle pieces given in [Ann. of Math. 165 (2007), 749–841]. This nest, once combined with the KLLemma, has proven to be a powerful machinery, leading to several important advancements in the field of holomorphic dynamics. We give here a presentation of the KSS nest in terms of tableau. This is an effective language invented by Branner and Hubbard to deal with the complexity of the dynamics of puzzle pieces. We show, in a typical situation, how to make the combination between the KSS nest and the KL-Lemma. One consequence of this is the recently proved Branner–Hubbard conjecture. Our estimates here can be used to give an alternative proof of the rigidity property.