243 citations · 1.7k across the 42 of their papers we have counts for
Showing 2007 · math.PRShow all
2 papers · 2 filters
math.PR2007★ 180 cited
Continuum limits of random matrices and the Brownian carousel
Benedek Valko, Balint Virag
We show that at any location away from the spectral edge, the eigenvalues of the Gaussian unitary ensemble and its general beta siblings converge to Sine_beta, a translation invari…
math.PR2007★ 31 cited
On the girth of random Cayley graphs
Alex Gamburd, Shlomo Hoory, Mehrdad Shahshahani +2
We prove that random d-regular Cayley graphs of the symmetric group asymptotically almost surely have girth at least (log_{d-1}|G|)^{1/2}/2 and that random d-regular Cayley graphs…