Sean O’Rourke

activity

20092026

most citedGaussian Fluctuations of Eigenvalues in Wigner Random Matrices

58 citations · 206 across the 36 of their papers we have counts for

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Showing 2012 · math.PRShow all

2 papers · 2 filters

math.PR2012

The Elliptic Law

Hoi Nguyen, Sean O'Rourke

We show that, under some general assumptions on the entries of a random complex $n \times n$ matrix $X_{n}$ , the empirical spectral distribution of $\frac{1}{n} X_{n}$ converges…

math.PR2012★ 31 cited

A note on the Marchenko-Pastur law for a class of random matrices with dependent entries

Sean O'Rourke

We consider a class of real random matrices with dependent entries and show that the limiting empirical spectral distribution is given by the Marchenko-Pastur law. Additionally, we…