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리만 구면 위의 데셍과 벨리 함수의 동역학
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 황동선 | - |
| dc.contributor.author | 전병연 | - |
| dc.date.accessioned | 2018-11-08T08:17:55Z | - |
| dc.date.available | 2018-11-08T08:17:55Z | - |
| dc.date.issued | 2014-02 | - |
| dc.identifier.other | 16372 | - |
| dc.identifier.uri | https://dspace.ajou.ac.kr/handle/2018.oak/12543 | - |
| dc.description | 학위논문(석사)--아주대학교 일반대학원 :수학과,2014. 2 | - |
| dc.description.abstract | 리만 구면 위에서 변의 개수가 최대 4개인 평면 데셍을 분류하고 그에 대응되는 유리수 계수를 갖는 벨리 함수를 구한다. 동역학적 벨리 함수를 이용하여 그에 대응되는 동역학계의 줄리아 집합과 파투 집합을 연구한다. | - |
| dc.description.tableofcontents | chapter 1 Introduction chapter 2 Preliminaries section 2.1 Coverings of Riemann surfaces and Belyi functions section 2.2 Dessins d'enfants section 2.3 Complex dynamics chapter 3 Dessins d'enfants with at most four edges section 3.1 Classification of plane dessins section 3.2 Belyi functions for plane dessins section 3.3 How to use Groebner bases chapter 4 Dynamical systems arising from dessins d'enfants section 4.1 Complete chaos and connected Julia sets for dessins section 4.2 Components of Fatou sets for dessins chapter 5 Appendix | - |
| dc.language.iso | eng | - |
| dc.publisher | The Graduate School, Ajou University | - |
| dc.rights | 아주대학교 논문은 저작권에 의해 보호받습니다. | - |
| dc.title | 리만 구면 위의 데셍과 벨리 함수의 동역학 | - |
| dc.title.alternative | Jeon, Byung Yun | - |
| dc.type | Thesis | - |
| dc.contributor.affiliation | 아주대학교 일반대학원 | - |
| dc.contributor.alternativeName | Jeon, Byung Yun | - |
| dc.contributor.department | 일반대학원 수학과 | - |
| dc.date.awarded | 2014. 2 | - |
| dc.description.degree | Master | - |
| dc.identifier.localId | 608265 | - |
| dc.identifier.url | http://dcoll.ajou.ac.kr:9080/dcollection/jsp/common/DcLoOrgPer.jsp?sItemId=000000016372 | - |
| dc.subject.keyword | dessin | - |
| dc.subject.keyword | dessin d'enfant | - |
| dc.subject.keyword | dynamics | - |
| dc.subject.keyword | Belyi function | - |
| dc.subject.keyword | Riemann sphere | - |
| dc.subject.keyword | Julia set | - |
| dc.subject.keyword | Fatou set | - |
| dc.subject.keyword | complete chaos | - |
| dc.description.alternativeAbstract | We classify planar dessins d'enfants with at most four edges on the Riemann sphere and find the corresponding Belyi functions over Q. By investigating the dynamical Belyi functions, we study the Julia sets and Fatou sets of the corresponding dynamical systems. | - |
- Appears in Collections:
- Graduate School of Ajou University > Department of Mathematics > 3. Theses(Master)
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