Brendan Farrell

activity

20062014

most citedMatrix concentration inequalities via the method of exchangeable pairs

78 citations · 124 across the 10 of their papers we have counts for

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Showing 2013 · math.PRShow all

2 papers · 2 filters

math.PR2013

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 $Π_{1} U^{\otimes k} Π_{2} U^{\otimes k *} Π_{1}$ , where $U$ is a Haar distributed unitary matrix of size $n \times n$ , the fac…

math.PR2013

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…