78 citations · 124 across the 10 of their papers we have counts for
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Local Spectrum of Truncations of Kronecker Products of Haar Distributed Unitary Matrices
Brendan Farrell, Raj Rao Nadakuditi
We address the local spectral behavior of the random matrix , where is a Haar distributed unitary matrix of size , the fac…
Asymptotically liberating sequences of random unitary matrices
Greg W. Anderson, Brendan Farrell
A fundamental result of free probability theory due to Voiculescu and subsequently refined by many authors states that conjugation by independent Haar-distributed random unitary ma…
Smoothed analysis of symmetric random matrices with continuous distributions
Brendan Farrell, Roman Vershynin
We study invertibility of matrices of the form where is an arbitrary symmetric deterministic matrix, and is a symmetric random matrix whose independent entries have c…
Local Eigenvalue Density for General MANOVA Matrices
Laszlo Erdos, Brendan Farrell
We consider random n\times n matrices of the form (XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2}, where X and Y have independent entries with zero mean and variance one. These matrices are th…
Matrix concentration inequalities via the method of exchangeable pairs
Lester Mackey, Michael I. Jordan, Richard Y. Chen +2
This paper derives exponential concentration inequalities and polynomial moment inequalities for the spectral norm of a random matrix. The analysis requires a matrix extension of t…