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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…
math.SP2000
On Asymptotic Expansions and Scales of Spectral Universality in Band Random Matrix Ensembles
A. Khorunzhy, W. Kirsch
We consider the family of N-dimensional real symmetric matrices H with random independent entries whose variance is determined by a function U((x-y)/b). In the limit of (relatively…