A generalized version of Branner-Hubbard conjecture for rational functions

doi:10.1007/s10114-010-7632-7

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	A generalized version of Branner-Hubbard conjecture for rational functions
	Zhai, Yu
	2010-11-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	26 期号:11 页码:2199-2208
摘要	In 1992, Branner and Hubbard raised a conjecture that the Julia set of a polynomial is a Cantor set if and only if each critical component of its filled-in Julia set is not periodic. This conjecture was solved recently. In this paper, we generalize this result to a class of rational functions.
关键词	Julia set filled-in Julia set Branner-Hubbard puzzle KSS nest
DOI	10.1007/s10114-010-7632-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000282428100015
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9958
专题	中国科学院数学与系统科学研究院
通讯作者	Zhai, Yu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhai, Yu. A generalized version of Branner-Hubbard conjecture for rational functions[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2010,26(11):2199-2208.
APA	Zhai, Yu.(2010).A generalized version of Branner-Hubbard conjecture for rational functions.ACTA MATHEMATICA SINICA-ENGLISH SERIES,26(11),2199-2208.
MLA	Zhai, Yu."A generalized version of Branner-Hubbard conjecture for rational functions".ACTA MATHEMATICA SINICA-ENGLISH SERIES 26.11(2010):2199-2208.