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math.PR2016
Spectral properties of polynomials in independent Wigner and deterministic matrices
Serban Belinschi, Mireille Capitaine
On the one hand, we prove that almost surely, for large dimension, there is no eigenvalue of a Hermitian polynomial in independent Wigner and deterministic matrices, in any interva…
math-ph2016★ 36 cited
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
Serban Belinschi, Maciej A. Nowak, Roland Speicher +1
We extend the so-called "single ring theorem"[1], also known as the Haagerup-Larsen theorem[2], by showing that in the limit when the size of the matrix goes to infinity a particul…