A generalized version of Branner-Hubbard conjecture for rational functions
文献类型：期刊论文
| 作者 | Zhai, Yu |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 26期号:11页码:2199-2208 |
| 关键词 | Julia set filled-in Julia set Branner-Hubbard puzzle KSS nest |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-010-7632-7 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000282428100015 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9957]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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