Geodesic
Limiting eigenvalue distribution for band random matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 163-178

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An equation is obtained for the Stieltjes transform of the normalized eigenvalue distribution of band random matrices in the limit in which the band width and rank of the matrix simultaneously tend to infinity. Conditions under which this limit agrees with the semicircle law are found. 
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     author = {S. A. Molchanov and L. A. Pastur and A. M. Khorunzhii},
     title = {Limiting eigenvalue distribution for band random matrices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {90},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_2_a1/}
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S. A. Molchanov; L. A. Pastur; A. M. Khorunzhii. Limiting eigenvalue distribution for band random matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 163-178. http://geodesic.mathdoc.fr/item/TMF_1992_90_2_a1/