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math.PR2012
Global Fluctuations for Linear Statistics of β-Jacobi Ensembles
Ioana Dumitriu, Elliot Paquette
We study the global fluctuations for linear statistics of the form as , for functions , and being the eigenvalu…
math.CO2012★ 29 cited
Spectral gaps of random graphs and applications
Christopher Hoffman, Matthew Kahle, Elliot Paquette
We study the spectral gap of the Erdős--Rényi random graph through the connectivity threshold. In particular, we show that for any fixed if $$p \ge \frac{(1/2 + δ) \log n}{n…