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Doctoral thesis
English

Local law and mesoscopic linear statistics of random matrices

ContributorsHe, Yukun
Defense date2018-07-31
Abstract

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.

eng
Keywords
  • Probability
  • Mathematical physics
  • Random matrices
  • Local law
  • Linear statistics
Citation (ISO format)
HE, Yukun. Local law and mesoscopic linear statistics of random matrices. 2018. doi: 10.13097/archive-ouverte/unige:108434
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Thesis
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Technical informations

Creation09/26/2018 9:04:00 AM
First validation09/26/2018 9:04:00 AM
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