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

collaborators

11 papers

cs.IT2014

Strong Divergence of Reconstruction Procedures for the Paley-Wiener Space $PW_{π}^{1}$ and the Hardy Space $H^{1}$

Holger Boche, Brendan Farrell

Previous results on certain sampling series have left open if divergence only occurs for certain subsequences or, in fact, in the limit. Here we prove that divergence occurs in the…

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…

math.PR2012

Smoothed analysis of symmetric random matrices with continuous distributions

Brendan Farrell, Roman Vershynin

We study invertibility of matrices of the form $D + R$ where $D$ is an arbitrary symmetric deterministic matrix, and $R$ is a symmetric random matrix whose independent entries have c…

cs.IT2012

Expected Supremum of a Random Linear Combination of Shifted Kernels

Holger Boche, Brendan Farrell, Michel Ledoux +1

We address the expected supremum of a linear combination of shifts of the sinc kernel with random coefficients. When the coefficients are Gaussian, the expected supremum is of orde…