Hyperbolic-parabolic deformations of rational maps
文献类型：期刊论文
| 作者 | Cui, Guizhen1 ; Tan, Lei2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 61期号:12页码:2157-2220 |
| 关键词 | rational map geometrically finite hyperbolic parabolic |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-018-9426-4 |
| 英文摘要 | We develop a Thurston-like theory to characterize geometrically finite rational maps, and then apply it to study pinching and plumbing deformations of rational maps. We show that under certain conditions the pinching path converges uniformly and the quasiconformal conjugacy converges uniformly to a semi-conjugacy from the original map to the limit. Conversely, every geometrically finite rational map with parabolic points is the landing point of a pinching path for any prescribed plumbing combinatorics. |
| 资助项目 | National Natural Science Foundation of China[11125106] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000451716100003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31786]  |
| 专题 | 数学所 |
| 通讯作者 | Cui, Guizhen |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Angers, LAREMA, F-49045 Angers, France |
| 推荐引用方式 GB/T 7714 | Cui, Guizhen,Tan, Lei. Hyperbolic-parabolic deformations of rational maps[J]. SCIENCE CHINA-MATHEMATICS,2018,61(12):2157-2220. |
| APA | Cui, Guizhen,&Tan, Lei.(2018).Hyperbolic-parabolic deformations of rational maps.SCIENCE CHINA-MATHEMATICS,61(12),2157-2220. |
| MLA | Cui, Guizhen,et al."Hyperbolic-parabolic deformations of rational maps".SCIENCE CHINA-MATHEMATICS 61.12(2018):2157-2220. |
入库方式： OAI收割
来源：数学与系统科学研究院
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