Limiting behavior of eigenvectors of large Wigner matrices
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the eigenvectors is defined and it is then shown to converge with probability one to the semicircular law. Moreover, central limit theorem for linear spectral statistics defined by the eigenvectors and eige...
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Main Authors: | , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2013
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/99322 http://hdl.handle.net/10220/17138 |
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Institution: | Nanyang Technological University |
Language: | English |