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math-ph2004★ 2 cited
On Spectral Norm of Large Band Random Matrices
A. Khorunzhy
We study the spectral norm of N-dimensional hermitian random matrices whose entries are zero outside of the band of the width b along the principal diagonal. Inside this band the e…
math-ph2000
On asymptotic solvability of random graph's laplacians
A. Khorunzhy, V. Vengerovsky
We observe that the Laplacian of a random graph G on N vertices represents and explicitly solvable model in the limit of infinitely increasing N. Namely, we derive recurrent relati…