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On Several Problems in Random Matrix Theory and Statistical Mechanics
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | On Several Problems in Random Matrix Theory and Statistical Mechanics. |
| 개인저자 | Xu, Yuanyuan. |
| 단체저자명 | University of California, Davis. Mathematics. |
| 발행사항 | [S.l.]: University of California, Davis., 2018. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
| 형태사항 | 78 p. |
| 기본자료 저록 | Dissertation Abstracts International 80-01B(E). Dissertation Abstract International |
| ISBN | 9780438290754 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Davis, 2018. |
| 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 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
