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Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
Fluctuations of the extreme eigenvalues finite rank deformations of random matrices
2010/11/26
Consider a deterministic self-adjoint matrix Xn with spectral measure converging to a compactly supported probability measure, the largest and smallest eigenvalues converging to the edges of the limit...
Large deviations of the extreme eigenvalues of random deformations of matrices
Random matrices large deviations
2010/11/26
Consider a real diagonal deterministic matrix Xn of size n with spectral measure converging to a compactly supported probability measure. We perturb this matrix by adding a random finite rank matrix, ...