Local law and mesoscopic linear statistics of random matrices

Diplôme Thèse Local law and mesoscopic linear statistics of random matrices eng 2018-07-31 author He Yukun 861186 director Knowles Antti 860179 10.13097/archive-ouverte/unige:108434 urn:nbn:ch:unige-1084345 Sc. 5242 This thesis focuses on several fundamental classes of random matrices with independent entries - Wigner matrices, random band matrices, and adjacency matrices of sparse random graphs. The results fall roughly into two two classes: local laws, which provide strong control of the eigenvalue density down to small spectral scales, and the study of mesoscopic linear eigenvalue statistics. Probability Mathematical physics Random matrices Local law Linear statistics Dewey 510 25 Section de mathématiques 11 false 8fc3c74b-3c62-41b5-a002-81e028448f69 Thesis Restricted Thesis.pdf 2112302 application/pdf eb8b092f6d6124c2d650cb4ff16da26fad0f2fdaaccb62b9f406ee7406d32e6f restrictedAccess Faculté des sciences / Section de mathématiques

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Local law and mesoscopic linear statistics of random matrices				2018	951	19

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He, Yukun