DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Lee, Ji Oon | - |
dc.contributor.advisor | 이지운 | - |
dc.contributor.author | Ji, Hong Chang | - |
dc.date.accessioned | 2022-04-15T01:54:36Z | - |
dc.date.available | 2022-04-15T01:54:36Z | - |
dc.date.issued | 2021 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=962383&flag=dissertation | en_US |
dc.identifier.uri | http://hdl.handle.net/10203/294692 | - |
dc.description.abstract | We consider two different random matrix models, deformed Wigner matrices and products of unitarily invariant positive definite matrices. For deformed Wigner matrices, that are defined by the sum of Wigner and diagonal matrices, we prove that their linear eigenvalue statistics have asymptotically Gaussian fluctuation as the size of matrices diverges. For the second model, that is the product of two unitarily invariant matrices, we prove an optimal local law around the spectral edge. As its application, we prove eigenvalue rigidity and eigenvector delocalization around the edge. | - |
dc.language | eng | - |
dc.title | Spectra of sums and products of random matrices | - |
dc.title.alternative | 랜덤행렬의 합과 곱의 스펙트럼 | - |
dc.identifier.CNRN | 325007 | - |
dc.description.department | 한국과학기술원 :수리과학과, | - |
dc.description.isOpenAccess | 학위논문(박사) - 한국과학기술원 : 수리과학과, 2021.8,[iv, 182 p. :] | - |
dc.publisher.country | 한국과학기술원 | - |
dc.type.journalArticle | Thesis(Ph.D) | - |
dc.contributor.alternativeauthor | 지홍창 | - |
dc.subject.keywordAuthor | Random matrix thoery▼aComplex analysis▼aCentral limit theorems▼aLocal laws | - |
dc.subject.keywordAuthor | 랜덤행렬이론▼a복소해석학▼a중심극한정리▼a국소법칙 | - |
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