Abstract
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.
Citation
Arnab Sen. Bálint Virág. "The top eigenvalue of the random Toeplitz matrix and the sine kernel." Ann. Probab. 41 (6) 4050 - 4079, November 2013. https://doi.org/10.1214/13-AOP863
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