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摘要
We prove that an n x n random matrix G with independent entries is completely delocalized. Suppose that the entries of G have zero means, variances uniformly bounded below, and a uniform tail decay of exponential type. Then with high probability all unit eigenvectors of G have all coordinates of magnitude O(n(-1/2)), modulo logarithmic corrections. This comes as a consequence of a new, geometric approach to delocalization for random matrices.
- 出版日期2015-10-1
