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• W2950145299 abstract "We show that the empirical eigenvalue measure for sum of $d$ independent Haar distributed $n$-dimensional unitary matrices, converge for $n to infty$ to the Brown measure of the free sum of $d$ Haar unitary operators. The same applies for independent Haar distributed $n$-dimensional orthogonal matrices. As a byproduct of our approach, we relax the requirement of uniformly bounded imaginary part of Stieltjes transform of $T_n$ that is made in [Guionnet, Krishnapur, Zeitouni; Theorem 1]." @default.
• W2950145299 created "2019-06-27" @default.
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• W2950145299 creator A5090571169 @default.
• W2950145299 date "2012-08-25" @default.
• W2950145299 modified "2023-09-26" @default.
• W2950145299 title "Limiting Spectral Distribution of Sum of Unitary and Orthogonal Matrices" @default.
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