On the distribution of Julia sets of holomorphic maps
文献类型：期刊论文
| 作者 | Cao, Chunlei1; Wang, Yuefei2,3 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2020-07-01 |
| 卷号 | 40期号:4页码:903-909 |
| 关键词 | Fatou set Julia set transcendental analytic map free Jordan arc |
| ISSN号 | 0252-9602 |
| DOI | 10.1007/s10473-020-0401-5 |
| 英文摘要 | In 1965 Baker first considered the distribution of Julia sets of transcendental entire maps and proved that the Julia set of an entire map cannot be contained in any finite set of straight lines. In this paper we shall consider the distribution problem of Julia sets of meromorphic maps. We shall show that the Julia set of a transcendental meromorphic map with at most finitely many poles cannot be contained in any finite set of straight lines. Meanwhile, examples show that the Julia sets of meromorphic maps with infinitely many poles may indeed be contained in straight lines. Moreover, we shall show that the Julia set of a transcendental analytic self-map of C* can neither contain a free Jordan arc nor be contained in any finite set of straight lines. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000538841600001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51632]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Yuefei |
| 作者单位 | 1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 2.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Chunlei,Wang, Yuefei. On the distribution of Julia sets of holomorphic maps[J]. ACTA MATHEMATICA SCIENTIA,2020,40(4):903-909. |
| APA | Cao, Chunlei,&Wang, Yuefei.(2020).On the distribution of Julia sets of holomorphic maps.ACTA MATHEMATICA SCIENTIA,40(4),903-909. |
| MLA | Cao, Chunlei,et al."On the distribution of Julia sets of holomorphic maps".ACTA MATHEMATICA SCIENTIA 40.4(2020):903-909. |
入库方式： OAI收割
来源：数学与系统科学研究院
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