KMS Of Academy of mathematics and systems sciences, CAS
On the distribution of Julia sets of holomorphic maps | |
Cao, Chunlei1; Wang, Yuefei2,3 | |
2020-07-01 | |
发表期刊 | ACTA MATHEMATICA SCIENTIA |
ISSN | 0252-9602 |
卷号 | 40期号:4页码:903-909 |
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. |
关键词 | Fatou set Julia set transcendental analytic map free Jordan arc |
DOI | 10.1007/s10473-020-0401-5 |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000538841600001 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51633 |
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Cao, Chunlei]的文章 |
[Wang, Yuefei]的文章 |
百度学术 |
百度学术中相似的文章 |
[Cao, Chunlei]的文章 |
[Wang, Yuefei]的文章 |
必应学术 |
必应学术中相似的文章 |
[Cao, Chunlei]的文章 |
[Wang, Yuefei]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论