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Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix

   
@article{ECP1675,
	author = {Arnab Sen and Balint Virag},
	title = {Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {16},
	year = {2011},
	keywords = {Toeplitz matrix, eigenvalue distribution, spectral averaging},
	abstract = {We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is absolutely continuous with density bounded by 8, partially answering a question of Bryc, Dembo and Jiang (2006). The main tool used in the proof is a spectral averaging technique from the theory of random Schrödinger operators. The similar question for Hankel matrices remains open},
	pages = {no. 61, 706-711},
	issn = {1083-589X},
	doi = {10.1214/ECP.v16-1675},    
        url = {http://ecp.ejpecp.org/article/view/1675}}