%0 Journal Article
%T The top eigenvalue of the random Toeplitz matrix and the sine kernel
%A Arnab Sen
%A B¨¢lint Vir¨¢g
%J Mathematics
%D 2011
%I arXiv
%R 10.1214/13-AOP863
%X We show that the top eigenvalue of an $n\times n$ random symmetric Toeplitz matrix, scaled by $\sqrt{2n\log n}$, converges to the square of the $2\to4$ operator norm of the sine kernel.
%U http://arxiv.org/abs/1109.5494v2