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On Several Problems in Random Matrix Theory and Statistical Mechanics
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Xu, Yuanyuan. |
| 단체저자명 | University of California, Davis. Mathematics. |
| 서명/저자사항 | On Several Problems in Random Matrix Theory and Statistical Mechanics. |
| 발행사항 | [S.l.] : University of California, Davis., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 78 p. |
| 소장본 주기 | School code: 0029. |
| ISBN | 9780438290754 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Alexander Soshnikov. |
| 요약 | Random Matrix Theory(RMT) is a fast developing area of modern Mathematics with deep connections to Probability, Statistical Mechanics, Quantum Theory, Number Theory, Statistics, and Integrable Systems. |
| 요약 | In the first part of my dissertation, I consider an interacting particle system on the unit circle with stronger repulsion than that of the Circular beta Ensemble in RMT and prove the Gaussian approximation of the distribution of the particles. |
| 요약 | In the second part of the dissertation, I consider the orthogonal group SO(2n) with the Haar measure and prove the CLT for the linear eigenvalue statistics in the mesoscopic regime where the test function depends on n. The results can be general |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International80-01B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14998730 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00028315 | 510 | 가야대학교// | 대출가능 |
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