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Potential Theory on Sierpinski Carpets with Applications to Uniformization
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Ntalampekos, Dimitrios. |
| 단체저자명 | University of California, Los Angeles. Mathematics. |
| 서명/저자사항 | Potential Theory on Sierpinski Carpets with Applications to Uniformization. |
| 발행사항 | [S.l.] : University of California, Los Angeles., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 218 p. |
| 소장본 주기 | School code: 0031. |
| ISBN | 9780438019294 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Mario Bonk. |
| 요약 | This research is motivated by the study of the geometry of fractal sets and is focused on uniformization problems: transformation of sets to canonical sets, using maps that preserve the geometry in some sense. More specifically, the main questio |
| 요약 | We first develop a potential theory and study harmonic functions on planar Sierpinski carpets. We introduce a discrete notion of Sobolev spaces on Sierpinski carpets and use this to define harmonic functions. Our approach differs from the classi |
| 요약 | Then we utilize this notion of harmonic functions to prove a uniformization result for Sierpinski carpets. Namely, it is proved that every planar Sierpinski carpet whose peripheral disks are uniformly fat, uniform quasiballs can be mapped to a s |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International80-01B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14998875 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00026259 | 510 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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