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Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices

   
@article{ECP1243,
	author = {Arup Bose and Arnab Sen},
	title = {Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Large dimensional random matrix, eigenvalues, Wigner matrix, Toeplitz matrix, Hankel matrix, spectral norm.},
	abstract = {Suppose $s_n$ is the  spectral norm of either the Toeplitz or the Hankel matrix whose entries come from an i.i.d. sequence of random variables with positive mean $\mu$ and finite fourth moment. We show that $n^{-1/2}(s_n-n\mu)$ converges to the normal distribution in either case. This behaviour is in contrast to the known result for the Wigner matrices where $s_n-n\mu$ is itself asymptotically normal.},
	pages = {no. 3, 21-27},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1243},    
        url = {http://ecp.ejpecp.org/article/view/1243}}