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The spectral laws of Hermitian block-matrices with large random blocks

   
@article{ECP1335,
	author = {Tamer Oraby},
	title = {The spectral laws of Hermitian block-matrices with large random blocks},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Random matrices},
	abstract = {We are going to study the limiting spectral measure of fixed dimensional Hermitian block-matrices with large dimensional Wigner blocks. We are going also to identify the limiting spectral measure when the Hermitian block-structure is Circulant. Using the limiting spectral measure of a Hermitian Circulant block-matrix we will show that the spectral measure of a Wigner matrix with k-weakly dependent entries need not to be the semicircle law in the limit.},
	pages = {no. 44, 465-476},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1335},    
        url = {http://ecp.ejpecp.org/article/view/1335}}