Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices

Update: 2012-09-24

Description

We consider the asymptotic behavior of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices, i.e. of the hermitian matrices Hn with independent Gaussian entries such that ⟨HijHlk⟩=δikδjlJij, where J=(−W2△+1)−1. Assuming that W2=n1+θ, 0<θ<1, we show that this asymptotic behavior (as n→∞) in the bulk of the spectrum coincides with those for the Gaussian Unitary Ensemble.

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Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices

#box-pro-ellipsis-173223563708769{-webkit-line-clamp:2;}Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices

Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices

Cambridge University

Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices