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On the spectral norm of a random Toeplitz matrix

   
@article{ECP1313,
	author = {Mark Meckes},
	title = {On the spectral norm of a random Toeplitz matrix},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {random Toeplitz matrix, random Hankel matrix, spectral norm},
	abstract = {Suppose that $T_n$ is a Toeplitz matrix whose entries come from a sequence of independent but not necessarily identically distributed random variables with mean zero. Under some additional tail conditions, we show that the spectral norm of $T_n$ is of the order $\sqrt{n \log n}$. The same result holds for random Hankel matrices as well as other variants of random Toeplitz matrices which have been studied in the literature.},
	pages = {no. 31, 315-325},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1313},    
        url = {http://ecp.ejpecp.org/article/view/1313}}