Universality for a global property of the eigenvectors of Wigner matrices
Let M n be an n×n real (resp. complex) Wigner matrix and UnΛnU∗n be its spectral decomposition. Set (y1,y2⋯,yn)T=U∗nx , where x = (x 1, x 2, ⋅⋅⋅, x n ) T is a real (resp. complex) unit vector. Under the assumption that the elements of M n have 4 matching moments with those of GOE (resp. GUE), we sho...
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Main Authors: | Bao, Zhigang, Pan, Guangming, Zhou, Wang |
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其他作者: | School of Physical and Mathematical Sciences |
格式: | Article |
語言: | English |
出版: |
2014
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在線閱讀: | https://hdl.handle.net/10356/103709 http://hdl.handle.net/10220/20034 |
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